The following boxplots display the distributions of pulse rates (in beats/min) of female students and a sample of male students: It is TRUE to say that:

Question

BlackTom AI · Accepted Answer

Interquartile range (IQR) is the length of the box in a boxplot and measures the spread of the middle 50% of the data. Reading the boxplots against the horizontal axis allows comparison of IQRs, medians and total spread.

1) Relevant concepts
- IQR = Q3 − Q1 (length of box).
- Median is the line inside the box.
- Overall variability can be judged from whisker lengths (range and spread).

2) Step-by-step reading and reasoning
- For females: the left edge of the box (Q1) is about 68 beats/min and the right edge (Q3) about 85 beats/min. So IQRfemale ≈ 85 − 68 = 17 beats/min.
- For males: Q1 is about 62 beats/min and Q3 about 74 beats/min. So IQRmale ≈ 74 − 62 = 12 beats/min.
- Comparing these, the female IQR (≈17) is larger than the male IQR (≈12), so the middle 50% of female pulse rates is more spread out.

3) Intermediate calculations shown
- Female IQR ≈ 85 − 68 = 17
- Male IQR ≈ 74 − 62 = 12

4) Why the correct answer is correct
- Option B states “Female students IQR for pulse rate is higher than that of male students.” The box for females is visibly wider than the box for males and the numerical reading above confirms IQRfemale > IQRmale, so B is true.

5) Why other options are incorrect
- A: “Females are less variable than males” is false — females have a larger IQR and longer whiskers, indicating greater variability.
- C: “On average, male students have higher pulse rates than female students” is false — the median line for females is higher than the male median, so males do not have the higher median.
- D: “Female students median pulse rate is lower than male students” is false — the female median is actually higher.

Conclusion: The correct choice is B, matching the provided answer.

The following boxplots display the distributions of pulse rates (in beats/min) of female students and a sample of male students: It is TRUE to say that:单项选择题

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