Winter Summer Total

Elementary Age 84 36 120
Middle School Age 26 105 131
Total 110 141 251
The table shows survey data about which season students prefer. What is the joint relative frequency of elementary age students who prefer winter? Round to the nearest whole number.

(1 point)
percent

1 answer

To find the joint relative frequency of elementary age students who prefer winter, you need to divide the number of elementary age students who prefer winter by the total number of students surveyed.

From the table:

  • The number of elementary age students who prefer winter = 84
  • The total number of students surveyed = 251

Now, you calculate the joint relative frequency:

\[ \text{Joint relative frequency} = \frac{\text{Number of elementary age students who prefer winter}}{\text{Total number of students}} = \frac{84}{251} \]

Next, we convert this to a percentage by multiplying by 100:

\[ \text{Percentage} = \left( \frac{84}{251} \right) \times 100 \approx 33.475 % \]

Rounding this to the nearest whole number gives:

\[ \text{Percentage} \approx 33% \]

Thus, the joint relative frequency of elementary age students who prefer winter is 33%.