Question

summer plans

	camp	no camp	total
no swimming lessons	18	4	22
total	60	36	96

which is the joint relative frequency for school children who plan to attend camp and have swimming lessons? round the answer to the nearest percent.

○ 4%

○ 19%

○ 33%

○ 44%

Explanation:

Step1: Recall joint relative frequency formula

Joint relative frequency is calculated as the frequency of a specific category divided by the total number of observations. The formula is $\text{Joint Relative Frequency} = \frac{\text{Frequency of the category}}{\text{Total number of observations}}$.

Step2: Identify the values

From the table, the number of school children who plan to attend camp and have swimming lessons is 42. The total number of school children (total observations) is 96.

Step3: Calculate the joint relative frequency

Substitute the values into the formula: $\frac{42}{96} \approx 0.4375$.

Step4: Convert to percentage and round

To convert to a percentage, multiply by 100: $0.4375 \times 100 = 43.75\%$. Rounding to the nearest percent gives 44%.

Answer:

44%