Question

The numbers of students in the schools in a district are given below. (Note that these are already ordered from least to greatest.) 168, 257, 277, 282, 335, 342, 398, 429 Suppose that the number 429 from this list changes to 341. What happens to the mean? a.It decreases by b.It increases by c.It stays the same.

Answer 1

The mean decreases by 73.75.

Step-by-step explanation:

To find out what happens to the mean when the number 429 in the list changes to 341, we need to calculate the mean before and after the change. Before the change, the mean is calculated by summing all the numbers and dividing by the total count of numbers:

(168 + 257 + 277 + 282 + 335 + 342 + 398 + 429) / 8 = 3130 / 8 = 391.25.

After the change, the new sum will be (168 + 257 + 277 + 282 + 335 + 342 + 398 + 341) = 2540, and now we have 8 numbers in the list.

So, the new mean is calculated as 2540 / 8 = 317.5.

Comparing the initial mean of 391.25 with the new mean of 317.5, we can see that the mean decreases by 73.75.

Learn more about Mean of a set of numbers