Maths-

General

Easy

Question

The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?

- The means are the same, and the standard deviations are different.
- The means are the same, and the standard deviations are the same.
- The means are different, and the standard deviations are different.
- The means are different, and the standard deviations are the same.

Hint:

**Hint:**

- Mean of any n data is ratio of sum of all n data to number of data
- Standard deviation of n data is

## The correct answer is: The means are the same, and the standard deviations are different.

### Explanation:

- We have given two set of data in table form.
- We have to find their means and standard deviation and compare them

Step 1 of 1:

The given data in table form is

Now, For List A,

First calculate mean

So,

Mean =

= 3.5

And standard deviation will be

So,

Now, For List B

And standard deviation will be

= 0.96

Thus, List A and List B have the same mean but different standard deviation.

Hence, Option A is correct.

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