Question

The following crosstabulation summarizes the data for two categorical variables, x and y. The variable x can take on values low, medium, or high and the variable y can take on values yes or no.

Y
X Yes No Total
Low 20 10 30
Medium 15 35 50
High 20 5 25
Total 55 50 105
1. Compute the row percentage
2. Construct a sketch percentage of frequency bar chat with x on horozontal axis.

Answer 1

Explanation:

From the given data:

The row percentage can be determined by: taking each box in each row and by dividing it with its total on that line, after that we will multiply it by 100 to get the result of it's equivalent percentage.

Table reconstruct the table from the question ; we have:

y

x Yes No Total

Low 20 10 30

Medium 15 35 50

High 20 5 25

Total 55 50 105

For Low; the total on the row is 30 ;

so for Yes: we have 20/30 × 100 = 66.7

for No ; we have 10/30 × 100 = 33.3

For Medium ; the total on the row is 50 ;

so for Yes: we have 15/50 × 100 = 30

for No ; we have 35/50 × 100 = 70

For High ; the total on the row is 25;

so for Yes: we have 20/25 × 100 = 80

for No ; we have 5/25 × 100 = 20

y

x Yes No Total

Low 66.7 33.3 100

Medium 30 70 100

High 80 20 100

b. The construction of a sketch percentage of the frequency bar chat with x on horizontal axis is shown in the attached file below.