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The resting heart rate of 60 patients is shown in the frequency table below.


Heart Rate
(beats per minute) Frequency
60 1
65 3
70 4
75 12
80 8
85 15
90 9
95 5
100 3

Determine the standard deviation of the data set and explain what it means in terms of the data.
The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.
The standard deviation is 13.69. The typical heart rate for the data set varies from the mean by an average of 13.69 beats per minute.
The standard deviation is 9.27. The heart rate of a randomly selected patient varies from the mean by 9.27 beats per minute.
The standard deviation is 13.69. The heart rate of a randomly selected patient varies from the mean by 13.69 beats per minute.

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MrRoyal

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

How to determine the standard deviation of the data set?

The dataset is given as:

Heart Rate  Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 +  80 * 8 +  85 * 15 +  90 * 9 +  95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

[tex]\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}[/tex]

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 +  15 * (85 - 82.25)^2 +  9 * (90  - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

Read more about standard deviation at:

https://brainly.com/question/4079902

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