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Pulse rates (in beats per minute) were collected on a sample of 36 men. The five number summary for the data is as follows: Lo: 56 Lower Quartile: 71 Median: 80 Upper Quartile: 100 Hi: 140 How many men had a pulse rate between 56 & 100?

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Answer:

27 men had a pulse rate between 56 & 100.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 36

Five number summary:

Lowest value: 56

Lower Quartile: 71

Median: 80

Upper Quartile: 100

Highest value: 140

We have to find the number of men that had a pulse rate between 56 & 100.

56 is the lowest value of data and 100 is the third quartile of data.

Now, the third quartile give 75 percentile of data, thus, 75% of data lies between lowest value and the third quartile.

Thus, 75% of men have a pulse rate between 56 & 100.

Number of men that had a pulse rate between 56 & 100 =

[tex]75\% \times n\\\\=\dfrac{75}{100}\times 36 = 27[/tex]

Thus, 27 men had a pulse rate between 56 & 100.

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