Question

The histogram shows the heights of 300 randomly selected high school students. Which of the following is the best description of the shape of the distribution of heights?

a. Roughly symmetric and single-peaked

b. Roughly symmetric and double-peaked

c. Roughly symmetric and multi-peaked

d. Skewed to the left

e. Skewed to the right

Short answer

The correct option is (a)

(a) Roughly symmetric and unimodal

Step-by-step solution

Given information. 

The histogram shows the heights of 300 randomly selected high school students

Step 2. The best description of the shape of the distribution of heights 

Because the highest bars are roughly in the middle of the histogram, the given histogram is roughly symmetric. Furthermore, the bars to the left of 67 appear to be nearly identical to the bars to the right of 67.

Because the histogram contains only one main peak, which is centred around the height of 68, it is unimodal (or equivalently single-peaked).

As a result:

(a) Roughly symmetric and unimodal