1. Given the following measures of center for a data set, describe the most likely shape (symmetric, uniform, skewed left, or skewed right) of the distribution. a. Mean= 122, Median= 164, Mode= 165. b. Mean = 122, Median = 122, and there is no Mode.

2. The following frequency distribution describes the ages of the employees at a clothing store. a. What proportion of the employees are older than 24 years old? b. Describe the shape (symmetric, uniform, skewed left, or skewed right) of the distribution. c. For this distribution, which measure of center (mean or median) is most likely to be the largest? Age Frequency 15-24 13 25-34 4 35-44 3 45-54 2 55-64 2

3. Carl scored 32 on the ACT mathematics Test and 730 on the mathematics portion of the SAT. If the ACT Math Test had a mean score of 21.0 with a standard deviation of 5.3, and the mathematics section of the SAT had a mean score of 516 with a standard deviation of 116, on which exam did Carl earn a better score with respect to his peers? Justify your answer.

4. A random sample of 100 adults, aged 18 to 50, was grouped by age and number of current tattoos. The results are listed in the table below. At least one tattoo No tattoo Age 18-29 18 32 Age 30-50 6 44 If a person is selected at random from the 100 adults, find: a. The probability he/she is age 30-50 and has at least one tattoo. b. The probability he/she has no tattoos. c. The conditional probability he/she is age 18-29 given that he/she has no tattoos.