Box Whisker Plots

1.  Determine the mean, and standard deviation for the following data sets.

a) Scores on a MDM4UI quiz (out of 10 with a bonus question)

5 / 7 / 9 / 6 / 5 / 10 / 8 / 2
11 / 8 / 7 / 7 / 6 / 9 / 5 / 8

b) Costs for books purchased included taxes (in dollars)

12.55 / 15.31 / 21.98 / 45.35 / 19.81
33.89 / 29.53 / 30.19 / 38.20

2.  Determine the median, Q1, Q3, and the IQR for the following data sets.

a)  Number of homeruns hit by players on the Statsville little league team:

6 / 4 / 3 / 8 / 9 / 11 / 6 / 5 / 15

b)  Final grades in geography class.

88 / 56 / 72 / 67 / 59 / 48 / 81 / 62
90 / 75 / 75 / 43 / 71 / 64 / 78 / 84

3.  Create box whisker plots of the data in question 2.

4.  The board members of a provincial organization receive a car allowance for travel to meetings. Here are the distances the board logged last year (in km)

44 / 18 / 125 / 80 / 63 / 42 / 35 / 68
52 / 75 / 260 / 96 / 110 / 72 / 51

a)  Determine the mean and standard deviation for these data.

b)  Determine the median, and IQR.

c)  Illustrate these data using a box-whisker plot.

d)  Identify any outliers.

5.  The nurses’ union collects data on the hours worked by operating-room nurses at the Cambridge General Hospital.

Hours per week / Number of Employees
12 / 1
32 / 5
35 / 7
38 / 8
42 / 5

Answers: 1a) 7.1, 2.2 b) $27.42, $10.88 2a) median: 6, Q1=4.5, Q3=10, IQR = 5.5

b) median: 71.5, Q1=60.5, Q3=79.5, IQR = 19 4a) 79.4, 57.53 b) 68, 52 d) 260

5a) 35.8, 5.9 b)median: 36.5, IQR: 3