Review of 1st midterm exam (chapter 1-3)
A. The number of visitors to the Historic Museum for 25 randomly selected hours is shown below.
| 15 | 19 | 26 | 28 | 31 | 35 | 38 | 38 | 39 | 41 | 47 | 48 | 53 | 53 | 54 | 62 | 63 | 67 | 68 | 76 | 79 | 86 | 88 | 89 | 98 |
For your convenience,
1. Compute the mean, the mode, the median, and the midrange.
2. Compute the range, the variance, and the standard deviation.
3. Compute the z score for the values of 15 and 98.
4. From part 3, can you conclude that 15 and 98 are outliers? Why?
5. Find the 1st quartile and the 3rd quartile.
6. What is the percentile of 39?
7. What is the score of the 60th percentile?
8. Construct a Boxplot and describe the shape.
9. Find the outliers, if any, in the data set.
10. Construct a stem and leaf plot.
B. The data shown below indicate the number of tournaments and the earnings in thousands of dollars of 10 randomly selected LPGA golfers.
Construct a scatter plot and comment on the nature of the relationship.
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C. In a sample of 29 students, the following distribution of quiz scores was recorded.
|
Grade |
Frequency |
Xm |
f Xm |
f Xm^2 |
|
0 - 2 |
1 |
1 |
1 |
1 |
|
3 - 5 |
3 |
4 |
12 |
48 |
|
6 - 8 |
5 |
7 |
35 |
245 |
|
9 - 11 |
14 |
10 |
140 |
1400 |
|
12 - 14 |
6 |
13 |
78 |
1014 |
|
Total |
29 |
|
266 |
2708 |
Find the mean, the mode, variance and standard deviation.