Question

calculating range and iqr
weekly expenses
paola tracked her expenses every day for a week and constructed a box - plot of her data.
what is the range of paolas weekly expenses?
what is the interquartile range (iqr) of paolas weekly expenses?

Explanation:

Step1: Recall range formula

Range = Maximum - Minimum

Step2: Identify maximum and minimum from box - plot

From the box - plot, the minimum value is 10 and the maximum value is 20.
Range = 20 - 10 = 10

Step3: Recall IQR formula

IQR = Q3 - Q1

Step4: Identify Q1 and Q3 from box - plot

Q1 is the left - hand edge of the box (14) and Q3 is the right - hand edge of the box (17).
IQR = 17 - 14 = 3

Answer:

Range: 10
IQR: 3