Question

instructions
solve the following problem and choose the best answer.
question
the box plot above summarizes the resting heart rates, in beats per
minute, of the members at a gym. which of the following could be
the range of resting heart rates, in beats per minute?
adapted from khan academy.
16
31
62
70

Explanation:

Step1: Recall the concept of range

The range of a data - set in a box - plot is calculated as \( \text{Range}=\text{Maximum value}-\text{Minimum value} \).

Step2: Estimate the maximum and minimum values from the box - plot

From the box - plot, the minimum value (left - most point) is approximately \( 35 \) and the maximum value (right - most point) is approximately \( 100 \).

Step3: Calculate the range

\( \text{Range}=100 - 35=65 \).
Now, check the options:

• Option 1: \( 16 \) is much smaller than \( 65 \).
• Option 2: \( 31 \) is much smaller than \( 65 \).
• Option 3: \( 62 \) is close to our estimated range (since box - plot estimations can have some minor inaccuracies).
• Option 4: \( 70 \) would imply \( \text{Maximum value}-\text{Minimum value}=70 \). If the minimum was \( 35 \), the maximum would be \( 35 + 70=105 \), but the maximum in the box - plot is around \( 100 \).

Answer:

62