A. The following data represent the legal costs (in thousands of dollars) for 31 municipalities for a specific year.

62  21  40  37  40  2 125  29  9  48  21  150  23  112  50  24  38  76  20  118  260  36  18  20  7  67  455  204  92  24  52

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 2 and 455.

4. From part 3, can you conclude that 2 and 455 are outliers? Why?

5. Find the 1st quartile and the 3rd quartile.

6. What is the percentile of 37?

7. What is the score of the 40^th percentile?

8. Construct a Boxplot and describe the shape.

9. Construct the interval for none outliers. Are there any outliers in the data set?

B. The data shown represent the percentage of unemployed males and females for a sample of countries of the world. Using the whole numbers as stems and the decimals as leaves, construct a back-to-back stem and leaf plot and compare the distributions of the two groups (hint: compare the central location, variation, and shape of distribution.)

Females: 8.0   8.6  7.0   8.6   8.8  6.8  9.2  5.9  7.2  4.6  5.6  5.3  7.7  8.0  8.7  4.5  6.5  3.4  3.0  9.4  2.9

Males:  5.6  4.6  2.2  5.6  3.1  5.9  6.6   8.7  6.0  5.2  5.6  4.4  7.7  6.6  6.0   4.6  3.1  4.1  7.7