Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture.

To determine which lecture is scheduled between Statistics and English, we need to analyze the given conditions and arrange the lectures accordingly:

1. We have the lectures: Economics, History, Statistics, English, and Mathematics, scheduled from Monday to Friday.
2. Constraints given: - Economics cannot be scheduled on Tuesday. - History is scheduled only on Tuesday. - Mathematics is immediately after Economics. - English is immediately before Economics.
3. Based on the above constraints: - Since History is on Tuesday, it gets fixed: Tuesday - History. - Economics cannot be on Tuesday, so possible days for Economics are Monday, Wednesday, Thursday, and Friday. - If we place Economics on Monday: - Tuesday: History (contradicts, as Math would be Tuesday). - If we place Economics on Wednesday: - Tuesday - History (no conflict). - Wednesday - Economics. - Thursday - Mathematics. - English must be placed immediately before Economics, so: Monday - English. - The remaining lecture, Statistics, would then be on Friday. - Order: Monday - English, Tuesday - History, Wednesday - Economics, Thursday - Mathematics, Friday - Statistics (no conflicts).
4. With Economics on Wednesday, the schedule meets all constraints: - Monday: English - Tuesday: History - Wednesday: Economics - Thursday: Mathematics - Friday: Statistics

Therefore, the lecture scheduled between Statistics and English is on Tuesday, which is History.