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

Explanation

Statements 1 and 3 are correct.

Statement 1: the mean lies between the smallest and largest observations.

Statement 3: adding x to every value raises the mean by exactly x.

Statement 2 fails: merely repeating existing values keeps the mean unchanged.

Statement 4 fails: dividing every value by x always divides the mean by x.

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