Question

Question 13 (4 points)Consider the following data: 12, 15, 13, 10, 15, 10. Answer the following questions;write final answers only. [T/I - 4]#1) What is the mean of the data?#2) What is the median of the data?#3) What is the mode of the data?#4) What is the range of the data?

Answer 1

Hello! First, let's write the numbers of the data:

12, 15, 13, 10, 15, 10

#1) mean of the data: we will sum all the numbers and divide by the amount of them.

`(12+15+13+10+15+10)/(6)=(75)/(6)=12.5`

#2) median of the data: first, we have to put the numbers in crescent order:

10, 10, 12, 13, 15, 15

Then, we have to select the middle number (if we don't have 1, we will calculate the mean of the two in the middle). In this case, we have 12 and 13

`(12+13)/(2)=(25)/(2)=12.5`

#3) mode of the data: is the number that appears at most in the data.

In this exercise, 10 and 15 appears twice, so we have two modes and can name them bimodal.

Mode = 10 and 15

#4) range of the data: is the difference between the bigger to the smaller value. In this exercise, the biggest is 15 and the smallest is 10, so 15 - 10 = 5 is the range.