STATISTICS Lecture Notes - Central Tendency, Frequency Distribution, Bundesautobahn 62
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The following frequency distribution reports the number of dollars spent for a group of people during last week.
Dollars | Frequency | Relative Frequency | Midpoint | Cumulative Frequency |
360 up to 420 | 28 | 390 | 28 | 0.29 |
420 up to 480 | 24 | 450 | 52 | 0.25 |
480 up to 540 | 16 | 510 | 68 | 0.16 |
540 up to 600 | 8 | 570 | 76 | 0.08 |
600 up to 660 | 16 | 630 | 92 | 0.16 |
660 up to 720 | 4 | 690 | 96 | 0.04 |
(a) How many people participate in the study?
(b) Calculate the Relative Frequency and enter the results in the above table.
(c) Calculate the Midpoint for each class and enter the results in the above table.
(d) Calculate the Cumulative Frequency and enter the results in the above table.
(e) Construct a Histogram.
(f) Construct a Frequency Polygon.
(g) Construct a Cumulative Frequency Polygon.
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 54 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study. |
Number of Clients |
Frequency |
15 up to 35 |
4 |
35 up to 55 |
14 |
55 up to 75 |
21 |
75 up to 95 |
10 |
95 up to 115 |
5 |
Estimate the mean and the standard deviation. (Round squared deviations to nearest whole number and final answer to 2 decimal places.) |
Mean=? |
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Standard deviation=? |
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