The frequency distribution represents the commission earned

The frequency distribution represents the commission earned (in dollars) by 100 salespeople employed at several branches of a large chain store

Find the mean. Round the answer to one decimal place.

1. The mean commission is _______

2. The modal class is ____-____ dollars

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Solution

Class Limits

Frequency

class midpoint

midpoint*frequency

150-161

18

156

2808

162-173

9

168

1512

174-185

15

180

2700

186-197

21

192

4032

198-209

17

204

3468

210-221

13

216

2808

222-233

7

228

1596

sum:

100

sum:

18924

First find the class midpoints by taking the lower class value + the next lower class value and dividing by 2. For example for the first class, (150+162)/2 = 156.

Then multiply each midpoint times the frequency.

Then get the sum of the frequency column and the midpoint*frequency column.

Then divide those sums: 18924/100 = 189.24. This is the mean.

Find the mean. Round the answer to one decimal place.

1. The mean commission is 189.2 (rounded to one decimal place)

2. The modal class is 186-197 dollars (the modal class has the highest frequency.

Thanks, will rate best answer.