Chapter 1.2, Problem 79E

a.

To determine

To construct: The appropriate figure to compare the provided distribution for Calculus AB and Statistics.

Explanation of Solution

Given:

Distributions are:

	Calculus	Statistics
5	76486	29627
4	53467	44884
3	53533	51367
2	30017	32120
1	94712	48565
Total	308215	206563

Formula used:

The formula to compute the relative frequency is:

  $\text{Relative frequency = }\frac{\text{Frequency}}{\text{Sum of frequencies}}$

Calculation:

Using the provided table, the relative frequencies for the distributions for Calculus AB and Statistics can be computed as:

Grade	Calculus	Statistics
5	0.248158	0.143428
4	0.173473	0.21729
3	0.173687	0.248675
2	0.09739	0.155497
1	0.307292	0.23511

Graph:

The histograms could be constructed as:

  

  

b.

To determine

To compare: The both the distribution by writing few sentences.

Explanation of Solution

From the above parts, it is clear that both the distributions are approximately normally distributed because no outliers are present in the distributions. And, spread of both the distribution is approximately same.