A survey of 347 high school students asked students to describe their

politics as Liberal, Moderate or Conservative. The results are summarized by

gender with 27 out of 95 Liberals are males, out of 128 Moderates, 91 are

female and there are 93 Conservative females.

Part A) the joint frequency for liberal females is ...

37,

68,

95

252

And the largest marginal frequency for political preference is ...

95 liberals

128 moderates

124 conservatives

Part B) what does the relative frequency 252/347 represent? ...

Total number of conservatives in the sample

Percentage of liberals in the sample

Percentage of moderates in the sample

The percentage of females in the sample

A. (i) 68

(ii) Moderate : 128

B. the percent of female high school students surveyed that gave a response.

Step-by-step explanation:

Use the data given to fill and complete a two-way frequency table as shown

Form a two-way frequency table as shown;

Liberal Moderate Conservative Total

Boys 27 37 31 95

Girls 68 91 93 252

Total 95 128 124 347

Entries in the "Total" row and "Total" column give the marginal frequencies

The entries that are shaded are the joint frequencies

The entries that are underlined / marginal frequencies add up to the lower right corner cell both for last column and for the last cell row.

A.

The joint frequency for liberal female is:

check the column for liberal and the row for girls = 68

The largest marginal frequency for political preference is:

Check the underlined entries : the political preference with the largest marginal frequency is Moderate : 128

B. To get relative frequency every entry is divided by the total at the right bottom corner cell. i. e 347

252/347 represents the percent of female surveyed for the high school students that gave a response.

a. 68

b. 128 moderates

c. The percentage of females in the sample

Step-by-step explanation:

Total high school student = 347.

There are 95 liberals of which 27 are males and 68 are females.

Of 128 Moderates, 91 are females and males are 37 in number

To find the total number of conservatives, we have:

Total no - (total moderates + total liberals) = total conservatives

347 - (128 + 95)

347 - 223

= 124 number of conservatives of which females are 93 and males are 31.

a. The joint frequency for liberal females is 68

b. And the largest marginal frequency for political preference is 128 moderates

c. what does the relative frequency 252/347 represent?

answer: total females: 68 + 91 + 93 = 252 out of 347 students. The percentage of females in the sample