Question

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

Answer 1

Answer:

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

Answer 2

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                   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.