1. A doctor collects a large set of heart rate measurements that approximately f
ID: 3355761 • Letter: 1
Question
1. A doctor collects a large set of heart rate measurements that approximately follow a normal distribution. He only reports 3 statistics, the mean = 110 beats per minute, the minimum = 65 beats per minute, and the maximum = 155 beats per minute. Which of the following is most likely to be the standard deviation of the distribution?
A. 5
B. 15
C. 90
2. Scores on a standardized test are normally distributed, perfectly symmetric and mound shaped, with a mean of 100 and a standard deviation of 20. If these scores are converted to standard normal z scores, which of the following statements will be correct?
A. The mean will equal 0, but the median cannot be determined.
B. The mean of the standardized z-scores will equal 100
C. Both the mean and median score will equal 0.
Explanation / Answer
Solution :
1)
The following is most likely to be the standard deviation of the distribution is ,
3 = (155 - 110) / s
s = 45 / 3 = 45
the following is most likely to be the standard deviation of the distribution is 15 .
Option B) 15 is correct .
2)
Scores on a standardized test are normally distributed, perfectly symmetric and mound shaped, with a mean of
100 and a standard deviation of 20. If these scores are converted to standard normal z scores so, both the mean
and median score will equal 0.
Option C) Both the mean and median score will equal 0. is correct
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