Chapter 7.3, Problem 20E

(a)

To determine

To describe:

The number of songs downloaded by group of freshmen to the number of songs downloaded by sophomores in a given data.

Explanation of Solution

Given:

Survey size $=60$ , minimum $=200$ , maximum $=2400$

First quartile $=640$ ,median $=1670$

Third quartile $=2150$ ,mean $=1480$ ,standard deviation $=500$

Concept used:

Bivariate joint frequency distribution are contingency table.

The total row and total column of the marginal distribution while the body of the table is the joint frequencies

Calculation:

Draw the graph

  

Both distribution are skewed left

The centers and spreads of the two data sets are close to each other

The median for sophomore is $330$ more than the median for freshmen

Both data sets have more variability.

(b)

To determine

To describe:

The median greater than the mean for group of freshmen in a given data.

Explanation of Solution

Given:

Survey size $=60$ , minimum $=200$ , maximum $=2400$

First quartile $=640$ ,median $=1670$

Third quartile $=2150$ ,mean $=1480$ ,standard deviation $=500$

Concept used:

Bivariate joint frequency distribution are contingency table.

The total row and total column of the marginal distribution while the body of the table is the joint frequencies

Calculation:

Draw the graph

  

Both distribution are skewed left

The centers and spreads of the two data sets are close to each other

The median for sophomore is $330$ more than the median for freshmen

Both data sets have more variability.

This mean that most of the data are on the right by box and whisker plot.