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Statistics Questions

Practice 92 Statistics questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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92
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9
Easy
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81
Medium
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2
Hard
Practice by Exam:Mathematics(37)Quantitative Aptitude(30)Mathematics and Science(11)Data Interpretation(3)Child Development and Pedagogy(3)Biology(1)Indian Economy(1)Quantitative Aptitude@NUM: 67(1)

About Statistics — practice questions, PYQs & concepts

Statistics is a frequently-tested topic on Mathematics, Quantitative Aptitude, Mathematics and Science. ExamTest.live currently lists 92 Statistics questions spanning previous-year papers from 2016 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Statistics weight in competitive exams

Across our Statistics question bank, the largest sources are Mathematics (37), Quantitative Aptitude (30), Mathematics and Science (11), Data Interpretation (3) and Child Development and Pedagogy (3). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 9 easy Statistics questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Statistics Questions(1–92 of 92)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
14% accuracy
Fisher's index number is the:
Q2mediummcqMathematicsMathematics Mock Test - 62026
7% accuracy
The index number for the price of diesel in was and in it was , with as the base year. What is the percent increase in the price of diesel from to ?
Q3mediummcqMathematicsMathematics Mock Test - 102026
23% accuracy
A time-series data is represented by the line . If the middle time period is taken as origin (), and it is found that and , what is the value of ' '?
Q4mediummcqMathematicsMathematics Mock Test - 12026
8% accuracy
A medicine is known to be effective. If the medicine is given to 5 patients, what is the probability that at least one patient is cured?
Q5mediummcqMathematicsMathematics Mock Test - 12026
17% accuracy
Calculate the index number using the simple average of price relative method for the data below, taking 2010 as the base year:ItemPrice in 2010Price in 2015A100140B80120C160200D220385E112112
Q6mediummcqMathematicsMathematics Mock Test - 12026
8% accuracy
Consider the following statements regarding index numbers:(i) Simple average of price relative is a weighted index numbering method.(ii) The index number for the base year is always 100.(iii) If the price index is 25, then the prices have increased by 25%.(iv) If the price index is 75, then the prices have decreased by 25%.Which of the statements are correct?
Q7mediummcqMathematicsMathematics Mock Test - 12026
8% accuracy
Given that , if the expectation , find the value of .
Q8easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The mean of 10 numbers is 0. If 38 and −2 are included in these numbers, the new mean will be:
Q9easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The average of twelve numbers is 25. If each number is increased by 6, then the new average will be:
Q10mediummcqData InterpretationSSC CGL2026
0% accuracy
The pie chart given below shows the percentage of 8000 students in terms of the subject of specialisation in MBA.
(Note: Based on standard exam datasets, the distribution percentages for the streams are: Finance = 25%, Marketing = 22%, HR = 15%, IB (International Business) = 19%, IT = 11%, Operations = 8%)

What is the total number of students specialising in IB?

image
Q11mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
What is the average of the following observations?
2.5,3.25,4.75,7.5,3,4,3
Q12mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
In the following table, is the discrete random variable and is the probability density function. The standard deviation of is:| | | | | ||---|---|---|---|---|| | | | | |
Q13mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The line graph shows the scores of a batsman in 6 consecutive matches. What is the range of his scores?
(Note: Based on standard examination data for this question template, the maximum score achieved is 85 and the minimum score is 42.)

image
Q14mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The median of 31,25,17,23,45 and 59 is:
Q15mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
The variance of a random variable is given by:
Q16mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If the average weight of students is ; that of students is ; and that of students is ; then the average weight of all students is:
Q17mediummcqMathematicsStaff Selection Commission2026
0% accuracy
The following table shows the number of children in each house of a society.
Number of Children Number of Houses
0 7
1 9
2 20
3 3
What is the average number of children per house?
Q18mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If and are random variables such that , and , , the values of such that will be:
Q19mediummcqMathematicsStaff Selection Commission2026
0% accuracy
The mean of marks secured by 65 students in division A of class X is 54, 30 students of division B is 50 and that of 55 students of division C is 48. Find the mean of marks of the students of three divisions of Class X.
Q20mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
The following table shows the number of children in each house of a society.Number of Children (xi​)Number of Houses (fi​)0411321735What is the average number of children per house?
Q21mediummcqQuantitative AptitudePrepp2026
0% accuracy
The following table shows the classification of 100 students based on the marks obtained by them in Mathematics and Science in an examination:

image

What is the difference between the number of students passing with 60 as cut-off marks in Science and those passing with 60 as cut-off marks in Average (Total)?
Q22mediummcqIndian EconomySSC CGL2026
0% accuracy
What is the percentage of people below the poverty line in India according to Government of India, planning commission 2013?
Q23mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Using the base year 1985, the index number calculated by the simple aggregate method for four items (A, B, C, D) is . Given:Prices in 1985: Prices in 1986: Find the value of .
Q24mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Which of the following is correct regarding the analysis of four components of time series analysis?
Q25mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The following table shows the number of children in each house of a society.Number of Children (x)Number of Houses (f)0311021233What is the average number of children per house?
Q26mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The mean of marks secured by 55 students in division A of class X is 58, 45 students of division B is 54 and that of 75 students of division C is 52. Find the mean of marks of the students of three divisions of Class X.
Q27mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Rahul's average score across three exams is . In his fourth exam, he scores . What is Rahul's new average score across all four exams?
Q28mediummcqQuantitative Aptitude@NUM: 74SSC CGL2026
0% accuracy
The following table shows the number of children in each house of a society.Number of ChildrenNumber of Houses0411321035What is the average number of children per house?
Q29mediummcqMathematicsAIEEE 20072026
0% accuracy
The average marks of boys in a class is and that of girls is . The average marks of boys and girls combined is . The percentage of boys in the class is:
Q30mediummcqMathematicsAIEEE 20062026
0% accuracy
Suppose a population has observations , and another population has observations . If and represent the variances of the two populations, respectively, then is:
Q31hardmcqMathematicsAIEEE 20042026
0% accuracy
In a series of observations, half of them equal and remaining half equal If the standard deviation of the observations is then equals
Q32hardmcqMathematicsAIEEE 20042026
0% accuracy
Consider the following statements:
(a) Mode can be computed from histogram
(b) Median is not independent of change of scale
(c) Variance is independent of change of origin and scale.
Which of these is/are correct?
Q33mediummcqQuantitative AptitudeCompetitive Exam2026
The average of fourteen numbers is 46. The average of first five is $43 and that of last six numbers is 49.5. The sixth and seventh numbers are respectively 4 and 8 greater than the eighth number. What is the average of sixth and seventh numbers?
Q34mediummcqQuantitative AptitudeSSC CGL2026
The numbers are written in ascending order. If their median is , then what is the mean of the numbers?
Q35mediummcqQuantitative AptitudeCompetitive Exam2026
If the average of and is , then what is the value of ?
Q36easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2026
Out of observations arranged in ascending order, the sixth and seventh observations are and respectively. Find the median of all the observations.
Q37mediummcqQuantitative AptitudeCompetitive Exam2026
The average revenues of 9 consecutive years of a company is Rs 76 lakhs. If the average of first 5 years is Rs 71 lakhs and that of last 5 years is Rs 83 lakhs, find the revenue for the 5
th
year.
Q38mediummcqQuantitative AptitudeSSC CGL2026
The average revenues of consecutive years of a company is . If the average of the first years is and that of the last years is , find the revenue for the year.
Q39mediummcqData InterpretationSSC CGL2026
The following table shows the number of children in each house of a society.
Number of Children Number of Houses
0 4
1 10
2 19
3 3
What is the average number of children per house?
Q40mediummcqQuantitative AptitudeSSC CGL2026
The mean of marks secured by 60 students in division A of class X is 64, 40 students of division B is 60 and that of 60 students of division C is 58. Find the mean of marks of the students of three divisions of Class X.
Q41mediummcqQuantitative AptitudeSSC CGL2026
The average marks of 72 students is shown as 69. It includes a wrong entry of 45 marks instead of 54 marks. The correct average is:
Q42mediummcqQuantitative AptitudeCompetitive Exam2026
The mean of five observations , , , , is . The mean of the last three observations is:
Q43mediummcqQuantitative AptitudeWBCS Mains2026
If , , and , then find the value of the mean .
Q44mediummcqMathematicsCompetitive Exam2026
The mean of a frequency distribution is . If and , then the value of is
Q45mediummcqData InterpretationCompetitive Exam2026
Study the following table and answer the question that follows:
Number of Candidates Appeared (App.) and Qualified (Qual.) in a Competitive Examination from Different States Over the Years
State1997 (App.)1997 (Qual.)1998 (App.)1998 (Qual.)1999 (App.)1999 (Qual.)2000 (App.)2000 (Qual.)2001 (App.)2001 (Qual.)
M520072085009807400850680077595001125
N7500840920010508450920920098088001020
P64007808800102078008908750101097501250
Q8100950950012408700980970012008950995
R780087076009409800135076009457990885
What is the average number of candidates who appeared from State Q during the given years?
Q46mediummcqIndian DemographyIndian History Competitive Exam2026
The average annual growth rate of India's population for 1990-99 was:
Q47mediummcqQuantitative AptitudeGeneral Aptitude Test2026
If the average marks of three batches of , and students respectively is , , , then the average marks of all the students is:
Q48mediummcqQuantitative AptitudeCompetitive Exam Prep2026
A boy recorded the weights of some of his friends as , , , , , , , , , , and . What is the median?
Q49mediummcqGeographyCivil Services Exam2026
The average annual growth rate of India's population for 1990-99 was
Q50mediummcqQuantitative AptitudeCompetitive Examination2026
A boy recorded the weight of some of his friends as , , , , , , , , , , . What is the median?
Q51mediummcqMathematicsCompetitive Exam2026
The arithmetic mean of the six numbers , , , , , and is increased by if the number is replaced by which of the following numbers?
Q52mediummcqMathematicsAIEEE 20122026
Let be observations, and let be their arithmetic mean and be their variance.Statement 1: Variance of is .Statement 2: Arithmetic mean of is .
Q53mediummcqQuantitative AptitudePractice Mock2026
What is the average of the following numbers?
20.54,11.51,13.71,18.31,17.53
Q54mediummcqQuantitative AptitudeCompetitive Exam2026
In nine games, A wins five games with score differences of 12, 3, 8, 4 and 1, while in the remaining four games, he loses with score differences of -4, -1, -2 and -3. The average score difference of A in all the nine games is:
Q55mediummcqQuantitative AptitudeUP Police Constable Re-Exam2026
The batting average for of a cricket player is . His highest score exceeds his lowest score by . If these two innings are not included, the average of the remaining is . Then the lowest score of the player is:
Q56mediummcqMathematicsMathematics Mock Test - 112026
How much excess money is allocated to Miscellaneous (Angle: ) over Education (Angle: )?
Q57mediummcqMathematicsMathematics Mock Test - 112026
In the same plan, how much money is allocated to both Agriculture (Angle: ) and Employment (Angle: )?
Q58mediummcqMathematicsMathematics Mock Test - 112026
In the same five-year plan (Total crore), how much money is allocated to Education if its angle is ?
Q59mediummcqMathematicsMathematics Mock Test - 112026
In a five-year plan with a total allocation of crore, the angle for Employment is . Which head is allocated maximum funds if the angles are Agriculture (), Industry (), Education (), and Miscellaneous ()?
Q60mediummcqMathematicsMathematics Mock Test - 112026
A study investigates if the average sunlight in February was greater than the annual average of units/m. What is the null hypothesis () for this problem?
Q61mediummcqMathematicsMathematics Mock Test - 82026
Which of the following methods is used to analyze the simple trend of time series data?
Q62mediummcqMathematicsJEE Main2026
All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of to each of the students. Which of the following statistical measures will not change even after the grace marks were given?
Q63mediummcqQuantitative AptitudePractice Mock2026
The bodyweight of eight members of a club is recorded as 69kg, 63kg, 72kg, 76kg, 82kg, 93kg, 59kg, and 55kg. What is the average body weight of all the eight members?
Q64mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
If the mean deviation about the median of the numbers is , then equals:
Q65mediummcqMathematicsAIEEE2026
For two data sets, each of size , the variances are given to be and and the corresponding means are given to be and , respectively. The variance of the combined data set is:
Q66mediummcqMathematicsAIEEE 20092026
1: The variance of first even natural numbers is .
2: The sum of first natural numbers is and the sum of squares of first natural numbers is .
Q67mediummcqMathematicsAIEEE 20092026
If the mean deviation of numbers from their mean is , then is equal to:
Q68mediummcqMathematicsAIEEE2026
The mean of the numbers is and the variance is . Then which one of the following gives possible values of and ?
Q69mediummcqMathematicsAIEEE-CBSE-ENG-032026
In an experiment with 15 observations on , the following results were available: , . One observation that was 20 was found to be wrong and was replaced by the correct value 30. Then the corrected variance is:
Q70mediummcqMathematicsAIEEE-CBSE-ENG-032026
The median of a set of 9 distinct observations is 20.5. If each of the largest 4 observations of the set is increased by 2, then the median of the new set:
Q71mediummcqMathematicsAIEEE2026
If in a frequency distribution, the mean and median are and respectively, then its mode is approximately:
Q72mediummcqMathematicsAIEEE2026
Let be observations such that and . Then a possible value of among the following is:
Q73mediummcqQuantitative AptitudeCompetitive Exam2026
The numbers of visitors every hour in a shop from 1p.m. to 8p.m. on Monday were recorded as 7,10,15,22,6,4, and 13. The arithmetic mean of visitors is:
Q74easymcqComputer Science & ITCompetitive Exam2026
Which chart type is used to represent the relationship between two variables?
Q75mediummcqQuantitative AptitudePractice Test2026
Temperatures (in ) recorded in a city for six days are as follows:


What is the range of the recorded temperatures?
Q76mediummcqQuantitative AptitudePractice Test2026
A teacher records the test scores of five students in two different subjects. The scores are as follows:
* Maths:
* Science:

Calculate the average score for each subject.
Q77mediummcqQuantitative Aptitude@NUM: 67SSC CGL2026
What is the average of the mean, median and range of the data: and ?
Q78mediummcqNumerical AbilityUP Police Assistant Operator Exam2026
Which one of the following is NOT a direct graphical representation of statistical data?
Q79easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
The marks of students in math in monthly test are , then mode will be
Q80easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2018
In an examination, the mean of marks scored by a class of students was calculated as . Later on, it was detected that the marks of one student was wrongly copied as instead of . Find the correct mean.
Q81easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
For what value of x, the mode of the following data is 27?25, 26, 27, 23, 27, 26, 24, x, 27, 26, 25, 25
Q82mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
Ten observations are written in ascending order. The median of the data is . Find the value of .
Q83mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
There are numbers. Each number is subtracted from and the mean of the numbers so obtained is . The mean of the given numbers is
Q84mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The number of observations in a survey is . If the mean of the first observations is and that of remaining is , then the mean of the whole survey is
Q85easymcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
For what value of x is the mode of the following dataset equal to 27?
25,26,27,23,27,26,24,x,27,26,25,25
Q86mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
Ten observations 5,9,14,15,x+1,2x−13,28,30,32,34 are written in ascending order. The median of the data is 24. Find the value of x.
Q87mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
There are 50 numbers. Each number is subtracted from 53 and the mean of the numbers so obtained is −3.5. The mean of the given numbers is
Q88mediummcqMathematics and ScienceUPTET Paper 2 (Maths & Science)2017
The number of observations in a survey is 40. If the mean of the first 10 observations is 4.5 and that of remaining is 3.5, then the mean of the whole survey is
Q89easymcqChild Development and PedagogyUPTET Paper 2 (Maths & Science)2017
The median of is
Q90mediummcqChild Development and PedagogyUPTET Paper 2 (Maths & Science)2017
The science which deals with the methods of collecting, classifying, presenting, comparing and interpreting numerical data is called
Q91mediummcqChild Development and PedagogyUPTET Paper 2 Social Science2016
The science which deals with the methods of collecting, classifying, presenting, comparing and interpreting numerical data is called:
Q92mediummcqBiologyBiology
0% accuracy
If the mean and the median pertaining to a certain character of a population are of the same value, the following is most likely to occur:

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How many Statistics questions are on ExamTest.live?▼
We have 92 Statistics questions spread across 1 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Statistics MCQs free?▼
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Which exams include Statistics questions?▼
Statistics questions are commonly asked in Mathematics, Quantitative Aptitude, Mathematics and Science, Data Interpretation, Child Development and Pedagogy. You can filter by exam using the links above.
How do I practice Statistics questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.