Question

A company collected the ages from a random sample of its middle managers, with the resulting...

A company collected the ages from a random sample of its middle managers, with the resulting frequency distribution shown below.

Class
Interval		 Frequency ​
20 to < 25 8 ​
25 to < 30 6 ​
30 to < 35 5 ​
35 to < 40 12 ​
40 to < 45 15 ​
45 to < 50 7 ​

What is the relative frequency for the class with the greatest frequency?
  • A. .231
  • B. .288
  • C. .132
  • D. .226
  • E. .283
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

To calculate relative frequency we will divide the respective frequency by total frequency

For the given table

Class
Interval		 Frequency ​
20 to < 25 8 ​
25 to < 30 6 ​
30 to < 35 5 ​
35 to < 40 12 ​
40 to < 45 15 ​
45 to < 50 7

Total frequency is = 8 + 6 + 5 + 12 + 15 + 7 = 53

relative frequency for the class with the greatest frequency = greatest frequency / total frequency

greatest frequency = 15

total frequency = 53

relative frequency for the class with the greatest frequency = 15/53 = 0.28301

relative frequency for the class with the greatest frequency = 0.283

E is the correct option.

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