1. Use the Data Set Below to Answer the Following Questions

Precalculus, Ch. 1 Study Guide

1. Use the data set below to answer the following questions:

2, 4, 6, 7, 7, 7, 8, 8, 9, 9, 10

(a) What is the range? (b) What is the median?

(c) What is the standard deviation? (d) What is the variance?

(e) What is the mean? (f) What would be a good representation for this data? Why?

2. Use the test scores in the stemplot below to answer the following questions:

4 3 7 (a) How many scores are given? 5 0 6 6 0 4 5 (b) Find the minimum/maximum. 7 2 5 8 7 7 8 (c) Calculate the range. 9 2 5 10 0 (d) Which score is the mode?

(e) Find the median. (f) Find Q1. (g) Find Q3.

3. A bowler has scores of 132, 181, 150, 97, and 165.

(a) What is the mean score?

(b) What score would the bowler need on the next game to bring his average up to 150?

4. Evaluate each expression using the following data: g1= 14 g2= 12 g3= 18 g4= 14 g5= 18 g6= 19 g7= 27 g8= 18 g9= 12 g10= 19 g11= 26 g12 = 18

(a) gi (b) gi i=1 i=9

5. Which is generally affected more by extreme values in the data set—the mean or the median?

6. Multiple Choice. The calculation of standard deviation uses which of the following?

(a) mean (b) median (c) mode (d) range 7. If the standard deviation of a set of n numbers is y, which of these is the variance of the set?

y y (a) y (b) y2 (c) (d) n -1 n

8. Each of the members of a Girl Scout troop sold cookies as part of a fundraising effort. The number of boxes of cookies sold by each girl is given below:

63 78 102 69 42 174 81 73 82 94 92 79 62 68 71 73 74 69 11 88 80 63 74 69 71 77 70 93 87 67 77 77 62 85 176

(a) Find the 5-number summary for this data.

(b) Calculate the mean and standard deviation.

(c) Mathematically calculate if there are any outliers in this data.

9. (a) Between which 2 of the 6 years listed is the rate of population growth the greatest?

(b) Calculate the average rate of change of the world population over the time interval given in part (a).

10. Use the boxplots below to answer the following questions.

(a) Which numbers in the 5-number summary for 1995 exceed their counterparts in 1996?

(b) In 1996, about how many times more films grossed greater than $100 million than in 1995?

(c) What value in the 5-number summary for 1995 is exceeded by 50% of the data in 1996? 11. Use the data below of normal daily mean temperatures by month in Juneau, Alaska, and Minneapolis-St. Paul, Minnesota. Data have been rounded to the nearest degree Fahrenheit.

JUNEAU, MINNEAPOLIS- (a) Which city has the higher summer temperatures? MONTH AK ST. PAUL, MN January 24 12 February 28 18 (b) Which has the lower winter temperatures? March 33 31 April 40 46 May 47 59 (c) On the average, which city has a higher average June 53 68 temperature? Use a measure of center to justify your July 56 74 answer. August 55 71 September 49 61 October 42 49 November 32 33 (d) December 27 18 On average, which city shows greater variability in temperature? Use a measure of spread to justify your answer.

12. What type of graph(s) or display(s) could be used to display the each type of data below?

(a) quartiles (b) relative frequency data

(c) time-series data (d) individual elements of a small data set

15 13. Ms. T. Chare made the following histogram of grades on her final exam. (Each bar includes the left endpoint. For instance, the left-most bar is the number of grades where 30 g < 40.)

(a) How many students took the exam? 10

14 (b) True or false. The 12 median score is between 60 and 70 5 8 points.

4 3 (c) About what percent of her students scored at least 80 1 30 40 50 60 70 80 90 100 points?