Use the table to answer the question.

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
Remaining Attempts : 3
Skip to navigation

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, calculate the joint relative frequency:

\[ \text{Joint Relative Frequency} = \frac{\text{Number of Elementary Age Students who Prefer Winter}}{\text{Total Number of Students}} = \frac{84}{251} \]

Now, calculate this value:

\[ \frac{84}{251} \approx 0.3347 \]

To convert this to a percentage, multiply by 100:

\[ 0.3347 \times 100 \approx 33.47% \]

Rounding to the nearest whole number, we get:

\[ \text{Joint Relative Frequency} \approx 33% \]

So, the joint relative frequency of elementary age students who prefer winter is approximately 33 percent.