Question

The numbers of students in the 7 schools in a district are given below.(Note that these are already ordered from least to greatest.)206, 234, 242, 265, 313, 382, 402Suppose that the number 402 from this list changes to 227. Answer the following.(a) What happens to the mean?It decreases by 0It increases by ..............It stays the same.(b) What happens to the median?It decreases by 0It increases by ........It stays the same.

Answer 1

Answer:

The median decreases by 23

The mean decreases by 25

Step-by-step explanation:

The given set of data is:

206, 234, 242, 265, 313, 382, 402

The median is the middle number in the data set

Median = 265

The mean is the average of the data set

Mean = (206+234+242+265+313+382+402)/7

Mean = 2044/7

Mean = 292

If the number 402 from the list changes to 227:

The dataset becomes 206, 227, 234, 242, 265, 313, 382

New median = 242

New mean = (206+227+234+242+265+313+382)/7

New mean = 1869/7

New mean = 267

The median and the mean decreased because the new mediab and mean are less than the old median and mean

Decrease in the median = 265 - 242

Decrease in the median = 23

Decrease in the mean = 292 - 267

Decrease in the mean = 25