Math 171
Exam 1 Study Guide
The exam will have 10 problems. You will have the whole class period to do the exam.
Working on the following problems will help you to prepare for the exam. Be sure you can do all the assigned homework problems too! 
1. Draw a bar graph for the following information. Be sure to label the necessary parts.
The number of people for whom the language cited is their first language. (Numbers are in millions and are estimates.)
Chinese Mandarin 874
Hindi
English
Spanish
366
341
340
Bengali
Portuguese
207
176
2. A family has the following living expenses. Indicate the measures of the central angles. a. Rent 35% b. Food 23% c. Car 18% d. Utilities 11% e. Insurance 8% f. Other 5%

3. The following scores are from a test:
99, 59, 61 63, 89, 72, 71, 81, 89, 67, 93, 84 a. Create a stem and leaf plot b. Find the mean, median, mode and range of these scores. c. Draw a histogram representing these data
4. Using the following scores, construct a box and whisker plot:
97, 94, 86, 84, 82, 81, 79, 78, 72, 64, 54
5. Find the standard deviation of the following scores.
68, 75, 79, 85, 89, 96

6. The class average on a math test was 82 out of 100. The
11 girls in the class scored 966 points. How many total points did the 8 boys score?
7. Create a set of five numbers so that the mode equals the median and the mode is less than the mean.
8. Shakoyia writes three forms of a test for her sixth grade science classes. The table below gives some statistical data about the tests.
Mean
Form 1
66
Form 2 Form 3
66 72
Standard Deviation 4 2 6
Maria scored 70 on Form 1.
Janelle scored 90 on Form 2.
Luis scored 76 on Form 3.
Compare the three students’ performance using z-scores.
9.
Sunny’s height is one standard deviation below the mean for boys his age. If the heights are normally distributed, at what percentile is Sunny’s height? (Hint: Draw a picture like the one at the bottom of page 497.)
10. Ed and Cairo took the same form of a test. Ed has a zscore of -0.8 and Cairo has a z-score of 0.8. Which actual score is farther from the mean? Explain.
11. Suppose a distribution has a mean of 74, a median of
68, and a standard deviation of 5.4. What happens to each of these values if 15 is added to every score?