The number of hours of television watched per week by a sample of thirty people is recorded below:
8 21 13 6 17 22 18 12 26 16
29 15 18 3 22 32 24 16 19 21
Descriptive Statistics
To find the mean, median, Q1, Q3, minimum value, and maximum value, use the following commands in the calculator:
STAT
EDIT
Make sure all the Lists are empty. Then enter all the above information into L1.
Hit STAT again
CALC
1-Variable Stats
ENTER
You will see a list of numbers on your screen. Record the values for the following:
Mean () ______Median (Med) ______
Lower Quartile (Q1) ______Upper Quartile (Q3) ______
Maximum Value (maxX) ______Minimum Value (minX) ______
Calculate the range ______Standard Deviation ______
Now you want to arrange the date in your list from smallest the largest. Use the following commands:
STAT
SortA(
2nd 1 (to select L1)
ENTER
Go back to STAT and hit EDIT
All of your data should be arranged from smallest to largest. This can be used any time large sets of data need to be organized. You can now easily read your list of data right off the calculator.
What is the mode for the number of hours of television watched? ______
Your Turn!
Answer the following questions using your graphing calculator:
1. The following data represents the number of text messages sent throughout a given day by an average grade 10 class:
12 38 27 42 15 33 38 14 41 33 38 27
11 10 400 49 25 23 32 18 21 17 38 50
44 15 52 32 49 47 28 38 50 15 19 36
(a) Find the following:
Mean () ______Median (Med) ______Lower Quartile (Q1) ______
Upper Quartile (Q3) ______Maximum Value (maxX) ______
Minimum Value (minX) ______Range ______Standard Deviation ______
(b) Why is the standard deviation so large?
(c) Create a box and whisker plot.
(d) Why is the second whisker (fourth quarter) so much longer than any other section of the graph?
2. The average tests scores of three different grade 10 classes were calculated and compared. The data were as follows:
(a) List the following:
Class 1
Mean () ______Median (Med) ______Lower Quartile (Q1) ______
Upper Quartile (Q3) ______Maximum Value (maxX) ______
Minimum Value (minX) ______Range ______
Standard Deviation ______Mode ______
Class 2
Mean () ______Median (Med) ______Lower Quartile (Q1) ______
Upper Quartile (Q3) ______Maximum Value (maxX) ______
Minimum Value (minX) ______Range ______
Standard Deviation ______Mode ______
Class 3
Mean () ______Median (Med) ______Lower Quartile (Q1) ______
Upper Quartile (Q3) ______Maximum Value (maxX) ______
Minimum Value (minX) ______Range ______
Standard Deviation ______Mode ______