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Statistics Questions

Practice 49 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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49
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0
Easy
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47
Medium
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2
Hard
Practice by Exam:Mathematics(33)Quantitative Aptitude(11)Biology(1)General Studies(1)Indian Economy(1)Data Interpretation(1)Quantitative Aptitude@NUM: 67(1)

About Statistics — practice questions, PYQs & concepts

Statistics is a frequently-tested topic on Mathematics, Quantitative Aptitude, Biology. ExamTest.live currently lists 49 Statistics questions spanning previous-year papers from 2026 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 (33), Quantitative Aptitude (11), Biology (1), General Studies (1) and Indian Economy (1). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 0 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(1–49 of 49)

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Q1mediummcqMathematicsMathematics Mock Test - 62026
4% 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 ?
Q2mediummcqMathematicsMathematics Mock Test - 62026
13% accuracy
Fisher's index number is the:
Q3mediummcqMathematicsMathematics Mock Test - 12026
9% 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?
Q4mediummcqMathematicsMathematics Mock Test - 12026
18% 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
Q5mediummcqMathematicsMathematics Mock Test - 12026
9% 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?
Q6mediummcqMathematicsMathematics Mock Test - 12026
9% accuracy
Given that , if the expectation , find the value of .
Q7mediummcqMathematicsMathematics Mock Test - 102026
27% 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 ' '?
Q8mediummcqGeneral StudiesCompetitive Exam2026
0% accuracy
Which term describes the process of assigning numbers to observations according to specific rules?
Q9mediummcqMathematicsMathematics 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:| | | | | ||---|---|---|---|---|| | | | | |
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?

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Q11mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The median of 31,25,17,23,45 and 59 is:
Q12mediummcqQuantitative 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.)

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Q13mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
The variance of a random variable is given by:
Q14mediummcqMathematicsMathematics Mock Test - 22026
0% accuracy
Which of the following is correct regarding the analysis of four components of time series analysis?
Q15mediummcqMathematicsMathematics 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 .
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:
Q17mediummcqQuantitative 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:

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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)?
Q18mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
If and are random variables such that , and , , the values of such that will be:
Q19mediummcqIndian EconomySSC CGL2026
0% accuracy
What is the percentage of people below the poverty line in India according to Government of India, planning commission 2013?
Q20mediummcqMathematicsAIEEE 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:
Q21mediummcqMathematicsAIEEE 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:
Q22hardmcqMathematicsAIEEE 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
Q23hardmcqMathematicsAIEEE 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?
Q24mediummcqQuantitative 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?
Q25mediummcqMathematicsMathematics Mock Test - 112026
In the same five-year plan (Total crore), how much money is allocated to Education if its angle is ?
Q26mediummcqQuantitative 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:
Q27mediummcqQuantitative Aptitude@NUM: 67SSC CGL2026
What is the average of the mean, median and range of the data: and ?
Q28mediummcqQuantitative 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:
Q29mediummcqQuantitative 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?
Q30mediummcqQuantitative AptitudePractice Mock2026
What is the average of the following numbers?
20.54,11.51,13.71,18.31,17.53
Q31mediummcqQuantitative 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:
Q32mediummcqQuantitative AptitudeSSC CGL2026
The numbers are written in ascending order. If their median is , then what is the mean of the numbers?
Q33mediummcqMathematicsMathematics 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?
Q34mediummcqMathematicsAIEEE2026
If in a frequency distribution, the mean and median are and respectively, then its mode is approximately:
Q35mediummcqMathematicsAIEEE2026
Let be observations such that and . Then a possible value of among the following is:
Q36mediummcqMathematicsAIEEE-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:
Q37mediummcqMathematicsAIEEE-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:
Q38mediummcqMathematicsAIEEE2026
The mean of the numbers is and the variance is . Then which one of the following gives possible values of and ?
Q39mediummcqMathematicsAIEEE 20092026
If the mean deviation of numbers from their mean is , then is equal to:
Q40mediummcqMathematicsAIEEE 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 .
Q41mediummcqMathematicsAIEEE2026
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:
Q42mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
If the mean deviation about the median of the numbers is , then equals:
Q43mediummcqMathematicsAIEEE 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 .
Q44mediummcqMathematicsJEE 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?
Q45mediummcqMathematicsMathematics Mock Test - 82026
Which of the following methods is used to analyze the simple trend of time series data?
Q46mediummcqMathematicsMathematics Mock Test - 112026
In the same plan, how much money is allocated to both Agriculture (Angle: ) and Employment (Angle: )?
Q47mediummcqMathematicsMathematics Mock Test - 112026
How much excess money is allocated to Miscellaneous (Angle: ) over Education (Angle: )?
Q48mediummcqMathematicsMathematics 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 ()?
Q49mediummcqBiologyBiology
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:

Frequently Asked Questions

How many Statistics questions are on ExamTest.live?▼
We have 49 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, Biology, General Studies, Indian Economy. 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.