Question

Consider the given data set consisting of the number of texts sent by students during lunch.

0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9.9,9,10,10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12. 12. 12. 12, 12
The mean for this data set is 8.9 and the median is 10.
One student texted 48 times during lunch and we added her data point to the original data
set so that it now looks like this:
0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9,9,9,10,10, 10, 10, 10, 11, 11, 1111, 11, 12, 12. 12, 12, 12, 12, 48
What measure of center will be most affected by the new data point?
mean median mode IQR

Answer 1

The mean.

Explanation:

48 messages is a very high compared to the rest of the data so it will effect the mean. The median and the mode will be unchanged and the IQR will only change slightly. The mean will change form 8.9 to 10.2.

Answer 2

Consider the given data set consisting of the number of texts sent by students during lunch.

0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9.9,9,10,10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12. 12. 12. 12, 12

The mean for this data set is 8.9 and the median is 10.

One student texted 48 times during lunch and we added her data point to the original data

set so that it now looks like this:

0, 2, 3, 5, 5, 7, 8, 8, 8, 8, 9,9,9,9,10,10, 10, 10, 10, 11, 11, 1111, 11, 12, 12. 12, 12, 12, 12, 48

What measure of center will be most affected by the new data point?

The mean will be most affected.