Question

A middle school coach wrote down the time, in seconds, of her students’ 100-meter dash as shown in the table. Student Time -(seconds … ) Gary 11.9 Rick 12.3 Phillip 13.5 Jorge 12.0 Robert 12.3 Jeremy 16.0 If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the ..

Answer 1

D. The mean would decrease as there is less variability in the data.

Explanation:

So, let’s find the mean with all of those numbers. First of all we should order them from least to greatest.

11.9, 12.0, 12.3, 12.3, 13.5, 16.0

We add them all up, and get 78! Once we get this total, we must divide it by how many numbers there are! There are six numbers, so 78/6.

78/6 is equal to 13. So the mean for all those numbers is 13.

Now let’s find the mean if we cross out the greatest and least numbers, the greatest number is 16.0, and the least number Is 11.9.

So, our new data set is:

12.0, 12.3, 12.3, 13.5

Add those all up to get 50.1

Divide the total by the numbers we got left, which is 4!

50.1/4 is equal to 12.525.

So the mean of our new data set is 12.525!

So that’s how I got the answer, have a nice day! Please tell me if I’m wrong!

12.525 < 13