Name:
Math 10 - Elementary Statistics
Handout 1
Consider the following data on age of tortoises (in years) collected from a small island near the Galapagos.
Age
Ordered Age
37
33
56
44
76
63
48
50
88
133
62
Let’s construct a frequency distribution table of the data
Age
0–19
20–39
40–59
60–79
80–99
100–119
120–139
Total
Frequency
Relative Frequency (%)
Cumulative Relative Frequency (%)
Next, let’s construct the frequency histogram associated with the above table.
2
1
0
Frequency
3
4
Frequency Histogram
0
20
40
60
80
Age (in years) of Tortoises
1
100
120
140
9
Name:
Math 10 - Elementary Statistics
Handout 1
Questions:
• What is the mean age of the tortoises?
• What is the median age of the tortoises?
Answers:
Questions:
• What is the range of the age of the tortoises?
• What is the standard deviation of the age of the tortoises?
Answers:
x
9
33
37
44
48
50
56
62
63
76
88
133
x − x̄
x̄
2
(x − x̄)2
Name:
Math 10 - Elementary Statistics
Handout 1
Let’s now calculate the 5 number summary for the tortoise age data.
• Minimum
• 1st Quartile
• Median
• 3rd Quartile
• Maximum
Now construct a box plot based on the 5 number summary.
Boxplot of Tortoise Data
0
20
40
60
80
Age (in years) of Tortoises
Does an age of 133 seem like an outlier?
3
100
120
140
Name:
Math 10 - Elementary Statistics
Calculator Instructions for the TI-83/84
Here are some helpful instruction for using a graphing calculator to solve the problems.
To construct a histogram you can do the following:
4
Handout 1
Name:
Math 10 - Elementary Statistics
To get some useful summary statistics (like the 5 number summary) try the following:
5
Handout 1