Answer:
A. (i) 68
(ii) Moderate : 128
B. the percent of female high school students surveyed that gave a response.
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.