Paper 1 · Mathematical Reasoning and Aptitude
UGC NET June 2024 Re-Exam (30.08.2024) Shift-II
Which of the following is/are correct about the average (mean)? Choose the correct answer from the options given below.
- 1. The average of the data is less than the largest observation and greater than the smallest observation.
- 2. If the observations of the data are repeated, the average may or may not differ from the observations.
- 3. If all observations are increased by x, then their average also increases by x.
- 4. If all observations are divided by x, then their average may or may not change.
A1, 2, 3 only
B2, 3, 4 only
C1, 3 only ✓ Correct
D4 only
Correct answer: (C) 1, 3 only — Statements 1 and 3 are correct, so that is the answer.
Explanation
★Statements 1 and 3 are correct, so that is the answer.
★The mean always lies between the smallest and largest values.
★Adding x to every observation raises the mean by exactly x.
★So statements 1 and 3 hold.
★Statements 2 and 4 are not correctly stated for the mean.
★Hence 1 and 3 is correct.
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