# QMTH 205-001 Problem Set 1

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### Question Description

Please use the data above from a local 5K race.

1) Create a frequency distribution for gender.

2) Draw a bar chart or pie chart to display gender.

3)Create a contingency table for “total time” and age for men. Make “total time” intervals of 4 minutes (22 -25.99, 26-29.99, 30-33.99, etc.) Put ages ingroups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75.

4)Create a contingency table for “total time” and age for women. Make “total time” intervals of 4 minutes(22-25.99,26-29.99, 30-33.99, etc.) Put ages in groups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75.

5)Make a bar chart (one chart -show both genders) for the race results by gender. Write a short paragraph to compare/contrast the male/female results.

6)Calculate the mean, mode, and median age for all runners.

7)Calculate the means, modes, and medians for runners’ age based on gender.

8)Calculate the means, variances, and standard deviations for pace for the first 20runners based on gender.

9)Draw a stem and leaf diagram for age (all runners).

10)Calculate the IQR of age and draw a boxplot (all runners). Are there any outliers?

Attachment preview

Please use the data above from a local 5K race.

1) Create a frequency distribution for gender.
2) Draw a bar chart or pie chart to display gender.
3) Create a contingency table for “total time” and age for men. Make “total time” intervals of 4 minutes (22-25.99, 26-29.99, 30-33.99, etc.) Put ages in
groups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75.
4) Create a contingency table for “total time” and age for women. Make “total time” intervals of 4 minutes (22-25.99, 26-29.99, 30-33.99, etc.) Put ages in
groups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75.
5) Make a bar chart (one chart - show both genders) for the race results by gender. Write a short paragraph to compare/contrast the male/female results.
6) Calculate the mean, mode, and median age for all runners.
7) Calculate the means, modes, and medians for runners’ age based on gender.
8) Calculate the means, variances, and standard deviations for pace for the first 20 runners based on gender.
9) Draw a stem and leaf diagram for age (all runners).
10) Calculate the IQR of age and draw a boxplot (all runners). Are there any outliers?

QMTH 205-001 Problem Set 1 Dillé 5K Results Place 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 City Anderson SC Cornelia GA Elberton GA Williamston SC Lake Geneva WI Anderson SC Anderson SC Anderson SC Williamston SC Elberton GA Piedmont SC Piedmont SC Anderson SC Summerville SC Anderson SC Easley SC Anderson SC Anderson SC Seneca SC Pendleton SC Simpsonville SC Central SC Hartwell GA Lavonia GA Anderson SC Townville SC Anderson SC Anderson SC Anderson SC Anderson SC Anderson SC Pendleton SC Pendleton SC Piedmont SC Anderson SC Age 13 45 58 40 40 49 40 20 37 13 54 45 45 43 24 32 33 44 30 56 36 13 55 49 36 31 61 38 31 50 30 43 46 28 46 13 23 67 41 22 Gender M F M F F M M F F F M M F F M F F F F M M F M F F F F M F F F M F F F F M M M F Total Time 22.82 25.08 25.20 25.33 25.36 25.82 26.04 26.04 26.07 26.29 26.47 26.54 26.54 26.57 27.99 28.71 28.83 29.20 31.03 31.40 31.43 31.65 31.84 31.90 31.99 32.02 32.71 32.77 32.83 34.22 34.32 34.69 35.06 37.23 38.75 38.78 38.78 40.55 40.64 43.56 Pace 7:36 8:09 8:13 8:17 8:18 8:33 8:40 8:40 8:41 8:48 8:54 8:56 8:56 8:57 9:06 9:26 9:30 9:42 10:01 10:13 10:14 10:21 10:27 10:29 10:32 10:33 10:55 10:57 10:59 11:04 11:07 11:19 11:31 12:01 12:50 12:51 12:51 13:08 13:11 14:05 Please use the data above from a local 5K race. 1) Create a frequency distribution for gender. 2) Draw a bar chart or pie chart to display gender. 3) Create a contingency table for “total time” and age for men. Make “total time” intervals of 4 minutes (22-25.99, 26-29.99, 30-33.99, etc.) Put ages in groups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75. 4) Create a contingency table for “total time” and age for women. Make “total time” intervals of 4 minutes (22-25.99, 26-29.99, 30-33.99, etc.) Put ages in groups of 6-15, 16-25, 26-35, 36-45, 46-55, and 56-65, 66-75. 5) Make a bar chart (one chart - show both genders) for the race results by gender. Write a short paragraph to compare/contrast the male/female results. 6) Calculate the mean, mode, and median age for all runners. 7) Calculate the means, modes, and medians for runners’ age based on gender. 8) Calculate the means, variances, and standard deviations for pace for the first 20 runners based on gender. 9) Draw a stem and leaf diagram for age (all runners). 10) Calculate the IQR of age and draw a boxplot (all runners). Are there any outliers? By 11:59 p.m. on January 23, take PS1 Quiz in Blackboard. Please have your completed problem set by you as you answer the quiz questions. Upload a copy of your problem set to Blackboard in the PS1 Assignment.

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