MGMT2262 Tutorial sheet #1

These are age statistics from the Outreach department at Calgary Urban Project Society.

Class	Frequency	Relative frequency	Cumulative relative frequency
0 to under 13	2	0.0007	0.0007
13 to under 20	91	0.0332	0.0340
20 to under 30	744	0.2716	0.3056
30 to under 40	1087	0.3969	0.7024
40 to under 50	577	0.2107	0.9131
50 to under 60	164	0.0599	0.9730
60 to under 80	74	0.0270	1.0000

1) What percentage of the clients are under 40? (70.24%)

2) What percentage of the clients are at least 20? (96.60%)

3) What percentage of the clients are at least 20 but under 40? (66.85%)

4) In which class would you find the median? (30 to under 40)

5) Create a histogram of the data using a frequency scale. Which way does the data appear to be skewed (data appears symmetric)

6) Compute the group mean and group standard deviation. (mean = 35.898; standard deviation = 10.7924)

A survey of 20 people was taken to determine the number of times per month they went to the movies. These were the results:

7) Is this data continuous or discrete? (discrete)

8) Create a frequency table of the data using a class width of 2. (first class = 1-2; second class = 3-4 etc.)

9) What percentage go to the movies less than 5 times per month? (70%)

10) What percentage go to the movies more than twice per month? (75%)

11) What percentage go to the movies at least 3 times but no more than 6 times per month? (65%)

12) What is the mean and standard deviation? (3.85 and 1.9)

13) Create a box and whisker plot of the data. Does the data contain any outliers? (min=1, q1=2.5, q2=4, q3=5, max=8; no outliers)

14) Which way is the data skewed? What is the degree of skewness? (coefficient of skewness = -0.2368; slightly skewed left)