Question

How tall are you?(1.2) We used Census At School’s “Random Data Selector” to choose a sample of 50 Canadian students who completed a survey in a recent year. Here are the students’ heights (in centimeters):

Make an appropriate graph to display these data. Describe the shape, center, and variability of the distribution. Are there any outliers?

Short answer

Roughly symmetric, with a center point of 170. The data ranges from 145 to 195. There are no outliers.

Step-by-step solution

Step 1. Given information.

The given heights are:

Step 2. Make an appropriate graph.

As we can see that the sample size is large and the variable is quantitative, a histogram is the best option. The bars must have the same width while the height must be equal to the frequency.

Because the tallest bars lie in the centre of the histogram, the shape is roughly symmetric.

Because the centre of a symmetric distribution lies in the middle of the highest bars, it is about at 170.

The data has a range of values between 145 and 195.

There are no outliers in the histogram because all of the bars are adjacent.