Question

1. 10 / 16 points illowskyintrostat1 2.4.089 hw a survey was conducted of 130 purchasers of new bmw 3 series cars, 130 purchasers of new bmw 5 series cars, and 130 purchasers of new bmw 7 series cars. in it, people were asked the age they were when they purchased their car. the following box plots display the results. bmw 3 series bmw 5 series bmw 7 series 25 30 35 40 45 50 55 60 65 70 75 80 part (a) part (b) part (c) part (d) part (e) part (f) look at the bmw 5 series. estimate the interquartile range (iqr). iqr = part (g) part (h) resources reading

Explanation:

Step1: Recall IQR formula

The interquartile range (IQR) is calculated as \( IQR = Q_3 - Q_1 \), where \( Q_1 \) is the first quartile (25th percentile) and \( Q_3 \) is the third quartile (75th percentile).

Step2: Estimate \( Q_1 \) and \( Q_3 \) for BMW 5 series

From the box plot of BMW 5 series, we estimate:

• \( Q_1 \) (the left end of the box) is around 35.
• \( Q_3 \) (the right end of the box) is around 55.

Step3: Calculate IQR

Using the formula \( IQR = Q_3 - Q_1 \), substitute the estimated values:
\( IQR = 55 - 35 = 20 \)

Answer:

20