Exam 12: Voting Methods

Construct a bar graph for the number of stray animals in a certain city. Animal Number of strays Cats 723 Dogs 576 Rabbits 328 Lizards 491

The ages of 40 community college students were gathered. Construct a frequency distribution for the data using five classes. 46 17 34 19 42 19 20 48 34 51 31 21 43 32 39 17 21 21 40 38 42 17 21 45 19 39 48 19 17 42 32 19 49 19 26 38 43 46 51 39

Find the value for the correlation coefficient r . x 10 8 7 12 14 5 y 20 19 17 25 28 9

To obtain the frequency distribution below, twenty-three babies were monitored for how many times they cried during the night. Construct a histogram for the data. Class Frequency 0-2 4 3-5 6 6-8 9 9-11 3 12-14 1

Draw a scatter plot for the data shown. x 28 19 25 22 30 18 y 10 5 2 7 1 9

The average hourly wage of employees of a certain company is $13.74. Assume the variable is normally distributed. If the standard deviation is $4.25, find the probability that a randomly selected employee earns more than $20.54.

Find the variance and standard deviation. 36) 16 6 14 50 6 46

Find the mode. 22 16 8 14 16 13 14 34

Find the mode. 5 8 2 3 10 4 28 6 17 22

These data represent the number of gas stations along a certain 50-mile length of desert road. Draw a time series graph for the data. Year 1971 1972 1973 1974 1975 Number 3 4 4 6 5

For the following data (a) Draw a scatter plot. (b) Find the value for $r$ . (c) Test the significance of $r$ at the $5 \%$ level and at the $1 \%$ level. (d) If $r$ is significant, find the regression line and draw the line on the scatter plot. (e) Describe the nature of the relationship if one exists. (f) Predict $y$ when $x = 41$ . x 10 8 15 14 20 17 y 114 108 77 87 75 94

For the 8 test scores shown, find the percentile rank of 68. 29 87 68 34 60 31 30 61

The exam grades of 31 students were used to obtain the frequency distribution below. Construct a histogram and frequency polygon for the data. Class Frequency 40-49 1 50-59 2 60-69 5 70-79 12 80-89 7 90-99 4

Draw a scatter plot and describe the relationship. x 7 1 3 5 6 2 4 y 10 11 4 3 5 6 3

Find the equation of the regression line. x 10 8 7 12 14 5 y 20 19 17 25 28 9

Draw a scatter plot for the data shown x 2 7 3 4 5 1 6 y 6 1 5 3 6 12 2

Fifty families reported their annual household income (in thousands of dollars). Construct a frequency distribution for the data using six classes. 41 18 104 36 29 62 53 65 80 99 23 55 32 44 67 21 89 31 57 70 15 92 76 38 56 23 17 150 34 87 95 76 21 33 59 88 102 34 51 73 16 95 41 72 18 23 76 59 42 95

The average hourly wage of employees of a certain company is $14.26. Assume the variable is normally distributed. If the standard deviation is $4.99, find the probability that a randomly selected employee earns less than $9.27.

Construct a stem and leaf plot for the following data using whole numbers as stems and the decimals as leaves. 5.3 2.4 7.1 4.8 6.2 3.1 7.8 6.4 2.7 2.5 7.1 3.6 5.9 5.4 3.2 4.4 7.6 2.5

Suppose the average size (in square feet) of homes in a certain region is 2101. Assume the variable is normally distributed with standard deviation 120. If a person in the region was intending to build a 2227 square foot home but downsized and built a 1873 square foot home, what was the change in percentile rank from the original plan to the actual home that was built?