Question

HELP ASAP Use the data below

10,15,20,25,30,35,40,45,50

Part A: Identify the minimum value, lower quartile (Q1), median, upper quartile (Q3), and maximum value from the box-and-whisker plot.

Part B: Calculate the interquartile range (IQR). What does this tell you about the problem situation?

Part C: In a short paragraph, explain in your own words your work in Steps A and B.

Answer 1

Part A:

-Minimum: 10

-Q1: 17.5

-Median: 30

-Q3: 42.5

-Maximum: 50

Explanation:

Part B: IQR= 25

This shows that the data varies for 25 different numbers. That HALF of the data is between 25 numbers.

Part C: Using a box-and-whisker plot you can interpret the different values. Minimum is the first dot (10), connected to the first line (Q1 which is 17.5), connected by a box to the median (30), connected by a box to the third line (Q3 which is 42.5), connected to the last dot which is the maximum (50). And IQR is Q3-Q1, so 42.5-17.5 which is 25.