Question

In: Statistics and Probability

The data in the below portion of a frequency distribution shows the amount of miles run...

The data in the below portion of a frequency distribution shows the amount of miles run per day by people in a running club. What is the mean of the grouped data?

Miles (per day) Frequency

1-2 22

3-4 30

5-6 3

7-8 28

9-10 5

	a.	5.123 miles
	b.	3.876 miles
	c.	4.500 miles
	d.	4.682 miles

Expert Solution

Solution :

Miles (per day) Frequency(f) Midpoint (x) f * x

1-2 22 1 + 2 / 2 = 1.5 33

3-4 30 3.5 105

5-6 3 5.5 16.5

7-8 28 7.5 210

9-10 5 9.5 47.5

Total 88 412

mean = f * x / f = 412 / 88 = 4.682

Option d)

orchestra answered 1 year ago

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