Question

the boxplot displays the arm spans for 44 students. which of the following is not a true statement? there are no outliers in this distribution. the shape of the boxplot is fairly symmetric. the range of the distribution is around 60 cm. the center of the distribution is around 180 cm. arm spans of students 140 150 160 170 180 190 200 210 arm span (cm)

Explanation:

Step1: Analyze outliers

No points are beyond the whiskers, so no outliers.

Step2: Check symmetry

The box and whiskers are approximately evenly - balanced, so fairly symmetric.

Step3: Calculate range

Range = Max - Min. Max is around 210, Min is around 140. Range = 210 - 140 = 70 cm, not around 60 cm.

Step4: Identify center

The median (center) is around 180 cm as it is near the middle of the box.

Answer:

The range of the distribution is around 60 cm.