Chapter PI, Problem 17RE

(a)

To determine

To explain what aspect of these histograms makes it difficult to compare the distributions.

Answer to Problem 17RE

They are on different scales.

Explanation of Solution

In the question it is given that average daily temperature in January and July for large U.S. cities are graphed in the histograms given. As we can see the histograms of the two they both have different scales on which the data is mentioned or taken so, to compare the histograms the scales should be the same so as to make out the difference between the histograms.

(b)

To determine

To find out what differences do you see between the distributions of January and July average temperatures.

Answer to Problem 17RE

January’s values are lower and more spread out than the July’s values.

Explanation of Solution

In the question it is given that average daily temperature in January and July for large U.S. cities are graphed in the histograms given. Thus, the differences we see between the distributions of January and July average temperatures is that the January’s values are lower and more spread out than the July’s values which is less spread out and the values of this month is higher as we can see through the scales used.

(c)

To determine

To write a few sentences describing what you see.

Explanation of Solution

In the question it is given that average daily temperature in January and July for large U.S. cities are graphed in the histograms given. Thus, we can say form the boxplot of the difference in the temperatures of January and July given that roughly symmetric but it is slightly skewed to the left. There are more low outliers in the box plot than the high ones. The centre is around $40$ degrees with an IQR of around $7.5$ degrees as we can from the boxplot given in the question.