Question

A service station tracks the number of cars they service per day. Construct a histogram for the data and describe the shape of the distribution

Answer 1

See attachment for histogram

The histogram is left skewed

Explanation:

Given

`40, 47, 37, 42, 46, 31, 50, 41, 17`

`43, 46, 45, 21, 43, 45, 23, 49, 50`

`48, 26, 42, 46, 35, 52, 27, 51, 31`

`44, 35, 27, 46, 39, 33, 50, 45, 50`

Solving (a): Construct a histogram

First, we construct a frequency table

Calculate Range

`Range = Highest - Least`

`Range = 52 - 17`

`Range = 35`

Using a class width of 5, we have the following classes:

`17 - 22; 23 - 28; 29 - 34; 35 - 40; 41 - 46; 47 - 52`

So, the frequency table is:

See attachment for histogram

From the attached histogram, we can see that the height of the bars of the histogram tend to increase towards the left.

Hence, the shape of the histogram is left skewed