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Basic Business Statistics : Frequency Distributions and Percentages (7 Problems)

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19. The data displayed below represent monthly phone bills for a random sample of small business customers.

208 133 165 179 258 212 178 178
209 212 150 198 137 258 277 145
234 176 209 220 209 160 151 279
177 199 212 188 162 125 221 147
215 245 198 245 275 180 203 226

Which of the following would be the most appropriate class interval for displaying the data above in a frequency distribution with 5 intervals?
a. 40
b. 8
c. 35
d. 30

Please see attached for full question.

20. In an exit questionnaire 55 employees were asked to indicate a single major reason for leaving the company. Here are the results:

Reason given Number
Dissatisfaction with salary 15
Commute was too long 12
Dissatisfaction with supervisor 18
Dissatisfaction with benefits 10
What percent of employees were dissatisfied with either their salary
or their supervisor?

a. 33%
b. 55%
c. 60%
d. 58%

21. The results of a random sampling of bounced check fees is displayed
below:
Stem-and-Leaf Display
for Bounced Check Fee
Stem unit: 10
0 4 7 7 9 9
1 3 4 5 5 6 8
2 0 0 0 2 3 4 5 5 5 5 9 9 9
3 0 0 1 5 5 5 8 8
4 0 0 0 2 2 5 5 5
5 0 2 5 5
6 0 3 5
What percentage of the observed fees were more than \$25?
a. 9%
b. 55%
c. 61%
d. 64%

22. The ordered array below represents the number of payoff demand
notices received by a mortgage company over a 25-day period.

11 12 13 13 14 15 16 16 16 17 18 19 21
22 22 24 25 27 27 29 31 32 33 33 42

If a cumulative relative frequency distribution for the number of
payoff demand notices received by the escrow company is
constructed with a first class of 10 but less than 15. What would be
the cumulative percentage of the 20 but less than 25 class?
a. 16%
b. 20%
c. 40%
d. 64%

23. The table below displays the opinions of a sample of college
students, broken down by gender, about a proposed bill to change
the tax structure for capital gains:

Female Male Totals
For 87 65 152
Neutral 25 14 39
Against 63 98 161
Totals 175 177 352

Referring to the table above, how many people are against the plan?
a. 63
b. 98
c. 161
d. 352

24. Referring to the table in #23 above, what percentage of the women
are neutral to the plan?
a. 7%
b. 14%
c. 25%
d. 64%

25. Referring to the table in #23 above, what percentage of the total
sample are in favor of the plan?
a. 18.47%
b. 43.18%
c. 49.72%
d. 50.28%

Solution Summary

Seven problems relating to Frequency Distributions and Percentages are solved. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Solution provided by:
Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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