1

Problem

The data set shows the prices (in dollars) of lacrosse helmets. Make a box-and-whisker plot that represents the data. Describe the distribution. 125, 120, 250, 110, 190, 220, 145, 260, 240, 150, 170, and 200.

2

Step

The given data is ordered in ascending order

110, 120, 125, 145, 150, 170, 190, 200, 220, 240, 250, and 260

4

Step

Constructing the Box-and-Whisker Plot:

→ Draw a number line that covers the range of your data, from 110 to 260 → Draw a box from Q1 (135) to Q3 (230) → Draw a line inside the box at the median (180) → Extend "whiskers" from the edges of the box to the minimum value (110) and the maximum value (260)

5

Step

Description of the Distribution:

→ The data is spread out with prices ranging from $110 to $260 → The middle 50% of the data (between Q1 and Q3) ranges from $135 to $230, showing a broad interquartile range (IQR) of 95 → The whiskers are almost symmetric around the median, suggesting a roughly symmetric distribution with no extreme outliers

6

Sumup

Please summarize steps

Choices

7

Choice-A

This plot correctly depicts a box-and-whisker plot for the lacrosse helmet price data. The minimum value (least price) is represented by the leftmost point on the number line. The box shows the spread of the data between Q1 and Q3. The line in the middle of the box represents the median (Q2). The whiskers extend from the box towards the minimum and maximum values, likely following the 1.5 IQR rule from the quartiles

Correct

8

Choice-B

The box in this plot is wider than expected for the IQR, and the whiskers extend to data points that might be outliers but are included within the whiskers

Wrong

9

Choice-C

The median line is missing in the box, and the whiskers seem to extend beyond potential outliers

Wrong

10

Choice-D

The box is too short, and the left whisker extends to a data point that likely falls within the 1.5 IQR range

Wrong

11

Answer

Option

A

12

Sumup

Please summarize choices