Question

Answer the statistical measures and create a box and whiskers plot for the following set of data.

1, 1, 6, 10, 12, 13, 13, 14, 16, 19

Min:

Q1:

Med:

Q3:

Max:

Answer 1

please check explanations

Explanation:

Min stands for the minimum value

This is the smallest value

Looking at the numbers, the minimum value is 1

Q1 is the lower quartile

We have the formula as;

Q1 = (n + 1)/4

where n is the number of terms and that is 10

Q1 = (10 + 1)/4 = 11/4 = 2.75

This is approximately 3 and that means the the lower quartile is the third term and that is 6

Median is the middle value and that is;

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

Q3 is the third quartile and that is;

Q3 = 3(n + 1)/4 = 33/4 = 8.25

The third quartile is the 8th term and that is 14

Max is the highest number and that is 19