Question

Carol surveyed two samples of 200 people each about their favorite musical instrument and recorded them in the table below.

Guitar
Violin
Piano
Flute
Men
39
50
64
47
Women
37
56
61
46
What percent of men and women responded that guitar is their favorite musical instrument? Enter your answer in the box below.
76
%

Answer 1

`\%Guitar = 33 \%`

Explanation:

Given

The two-way table

Required

Percentage of men and women whose favorite is Guitar

From the table, we have:

`Total = 200`

Those who prefer Guitar

`Men=29`

`Women = 37`

So:

`Guitar = 29 +37 = 66`

So, the percentage of men and women is:

`\%Guitar = (Guitar)/(Total) * 100\%`

`\%Guitar = (66)/(200) * 100\%`

`\%Guitar = (6600)/(200) \%`

`\%Guitar = 33 \%`