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Consider the following statements: 1. If 10 is added to each entry on a list, then the average increases by 10. 2 If 10 is added to each entry o
Question

Consider the following statements:
1. If 10 is added to each entry on a list, then the average increases by 10.
2 If 10 is added to each entry on a list, then the standard deviation increases by 10.
3 If each entry on a list is doubled, then the average doubles.
Which of the above statements are correct?

A.

1,2 and 3

B.

1 and 2 only

C.

1 and 3 only

D.

2 and 3 only

Correct option is C


(a) True: Adding a constant increases the mean by the same value.
(b) False: Adding a constant does not affect the standard deviation, as it measures dispersion.
(c) True: Doubling each value also doubles the mean.

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