Answer:
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 <u> 95</u>
Girls 68 91 93 <u> 252</u>
Total <u> 95 128 124 </u> <em> 347 </em>
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.