Exam 12: Voting Methods

Find the area under the normal distribution curve to the right of z = 0.35.

If a student's rank in a class of 500 students is 345, find the student's percentile rank.

The exam grades of 31 students were used to obtain the frequency distribution below. Construct a 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

Find the median. 20 21 22 26 27 33 25

Find the variance. 2 14 32 31 29 24

Assume a data set is normally distributed with mean 14 and standard deviation 1.5. If the data set contains 30 data values, approximately how many of the data values will fall within the range 12.5 to 15.5?

The frequency distribution below was obtained by monitoring the number of vacation days per year taken by twenty-five employees. Construct a histogram and frequency polygon for the data. Class limits Frequency 0-4 3 5-9 4 10-14 8 15-19 2 20-24 5 25-29 3

Construct a pie chart for the following information. Eye color Number Blue 513 Brown 890 Green 108 Hazel 327

Draw a scatter plot and describe the relationship. x 10 8 7 12 14 5 y 20 19 17 25 28 9

Find the value for the correlation coefficient r . x 5 1 4 2 3 y 8 12 7 4 3

For the 8 test scores shown, which score corresponds to a percentile rank of 62.5? 16) 94 23 40 32 64 39 17 54

Find the mean. 58 3 7 26 5 1 1 12 2 6

Find the area under the normal distribution curve to the right of z = -0.55.

Find $Q _ { 1 } , Q _ { 2 }$ , and $Q _ { 3 }$ for the data set below. 5.4 2.0 6.8 3.1 2.9 4.7 2.1 5.0 1.9 3.4 A) $Q _ { 1 } = 2.05 , Q _ { 2 } = 3.1 , Q _ { 3 } = 5.2$ в) $Q _ { 1 } = 2.05 , Q _ { 2 } = 3.25 , Q _ { 3 } = 5.2$ C) $Q _ { 1 } = 2.1 , Q _ { 2 } = 3.25 , Q _ { 3 } = 5.0$ D) $Q _ { 1 } = 2.1 , Q _ { 2 } = 3.4 , Q _ { 3 } = 5.0$

Find the area under the normal distribution curve between z = 0 and z = 1.25.

The frequency distribution below was obtained by monitoring the number of vacation days per year taken by twenty-five employees. Construct a frequency polygon for the data. Class limits Frequency 0-4 3 5-9 4 10-14 8 15-19 2 20-24 5 25-29 3

These data represent the number of students attending a high school. Draw a time series graph for the data. Year 1985 1986 1987 1988 1989 1990 1991 Number 212 295 352 401 473 519 602

Find the area under the normal distribution curve between z = -0.90 and z = 3.05.

The following frequency distribution shows for a certain high school the number of freshmen, sophomores, juniors, and seniors who smoke. Construct a bar graph for the data. Rank Frequency Freshmen 14 Sophomores 20 Juniors 31 Seniors 35

Find the value for r and test the significance of r at the 5\% level. x 28 19 25 22 30 18 y 10 5 2 7 1 9