Frequency distributions and percentages


Assignment:

Q1. 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

Q2. 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%

Q3. 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%

Q4. 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%

Q5. 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

Q6. 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%

Q7. 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%

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Mathematics: Frequency distributions and percentages
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