Question

Question

Below is a table describing how many students of different age groups can swim or not swim.

Can Swim Cannot Swim Total
Under 11 60 28 88
11 and Over 102 30 132
Total 162 58 220
Interpret the table to find the conditional relative frequency of students who can swim, given that they are age 11 and over.

(1 point)
Responses

102
102

63%
63 percent

81%
81 percent

77%

Answer 1

To find the conditional relative frequency of students who can swim, given that they are age 11 and over, we need to calculate the proportion of students who can swim within the age group of 11 and over.

Here’s how to do it:

1. Identify the number of students who can swim in the age group 11 and over: 102.
2. Identify the total number of students in the age group 11 and over: 132.

Now, use the formula for conditional relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number who can swim}}{\text{Total in age group}} = \frac{102}{132} \]

Calculating this:

\[ \frac{102}{132} \approx 0.7727 \text{ or } 77.27% \]

Rounding this to the nearest whole number gives us 77%.

Thus, the conditional relative frequency of students who can swim, given that they are age 11 and over, is 77%.