[meteor_slideshow slideshow=”arp1″]
1. (8 pts) Find the median of the following data. (no work/explanation required) 1. __________
23 58 60 77 30 66 44 33 77
A. 30
B. 52
C. 58
D. 77
2. (18 pts) The mileages of 30 cars were compiled (in miles per gallons):
35 29 37 30 32 44 29 34 23 30
26 20 36 19 29 36 20 24 18 37
40 27 28 18 41 22 18 37 38 32
Summarize the data by constructing a frequency distribution and a relative frequency distribution, using intervals shown below. (Fill in the table.)
| Mileage (miles per gallon) | Frequency | Relative Frequency
(to the nearest thousandth) |
| 14.5 – 19.5
|
||
| 19.5 – 24.5
|
||
| 24.5 – 29.5
|
||
| 29.5 – 34.5
|
||
| 34.5 – 39.5
|
||
| 39.5 – 44.5
|
||
|
Total |
Consider the following table and pie chart for #3.
Assume that the values in the given table are correct.
Major Number %
of Seniors of Seniors
Business 633 33
Computer Sci. 194 10
English 236 12
Biology 134 7
Psychology 40 2
Other majors 681 36
Total Number
of Seniors 1918 100
3. (8 pts) Which of the following best describes the most serious problem with the pie chart?
(no explanation required) 3. _______
A. The numbers shown in the pie chart for the selected majors do not match the numbers in the % column of the table for those selected majors.
B. The numbers in the pie chart should be followed by “%” because the values are percentages.
C. The sizes of the pie wedges are incorrect because the business wedge is too large and the English wedge is too small.
D. The sizes of all the pie wedges are incorrect because an additional wedge must be included.
4. (32 pts) The number of calories per hot dog was determined for 10 brands of poultry hot dogs. The data are
162 97 84 100 145 130 84 155 95 178
(a) Find the median. Show some work/explanation.
(b) State the mode(s).
(c) Compute the sample mean, the sample variance, and the sample standard deviation.
Use the table below to help organize your work. Fill in the table.
|
xi |
||
|
162 |
||
|
97 |
||
|
84 |
||
|
100 |
||
|
145 |
||
|
130 |
||
|
84 |
||
|
155 |
||
|
95 |
||
|
178 |
||
| Total:
_____ |
Total:
_____ |
Total:
______ |
Mean = _________
Sample Variance = _____________
Standard Deviation = _____________
(d) What percentage of the data fall within one standard deviation of the mean? Show work/explanation.
5. (12 pts) Exam scores. Find the mean for the grouped data in the following table. Show work. (Extra space provided in table for scratch work.)
| 40 Exam Scores
|
|||
| Interval
|
Frequency
|
||
| 49.5 – 59.5
|
2 | ||
| 59.5 – 69.5
|
14 | ||
| 69.5 – 79.5
|
12 | ||
| 79.5 – 89.5
|
8 | ||
| 89.5 – 99.5
|
4
|
||
|
|
|||
6. (22 pts) A particular kicker makes a field goal with probability 0.65
(Report answers to four decimal places. Show work.)
(a) What is the probability that out of six kicks, the kicker makes exactly four field goals? Show work.
(b) What is the probability that out of six kicks, the kicker makes all six field goals?
Show some work/explanation.
(c) What is the probability that out of six kicks, the kicker does not make any field goals? Show some work/explanation.
(d) What is the probability that out of six kicks, the kicker makes at least one field goal?
Show some work/explanation.
[meteor_slideshow slideshow=”arp2″]
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