This document provides information about measures of central tendency and range. It defines mean as the average value calculated by adding all values and dividing by the number of values. Median is defined as the middle value when values are arranged in order. Mode is the value that occurs most frequently. Range is defined as the difference between the highest and lowest values. Examples are provided to demonstrate calculating mean, median, mode, and range for sets of data. The best measure of central tendency depends on the data - mean is best for normally distributed data while median works best for data with outliers.

1. Section 1-2
Measures of Central Tendency

2. Essential Questions
How do you calculate the mean, median, and mode of a
set?
How do you find the range of a set?
Where you’! see this:
Statistics, sports, measurement, education

3. Vocabulary
1. Mean:
2. Median:

4. Vocabulary
1. Mean: Add up all of the values, then divide by the
number of values;
2. Median:

5. Vocabulary
1. Mean: Add up all of the values, then divide by the
number of values; Also known as the average;
2. Median:

6. Vocabulary
1. Mean: Add up all of the values, then divide by the
number of values; Also known as the average;
Provides best results when there are no
extreme values
2. Median:

7. Vocabulary
1. Mean: Add up all of the values, then divide by the
number of values; Also known as the average;
Provides best results when there are no
extreme values
2. Median: The value that appears in the middle of a
set of data when arranged in order;

8. Vocabulary
1. Mean: Add up all of the values, then divide by the
number of values; Also known as the average;
Provides best results when there are no
extreme values
2. Median: The value that appears in the middle of a
set of data when arranged in order; If the
median falls between two values, average those
two values

9. Vocabulary
3. Mode:
4. Measures of Central Tendency:
5. Range:

10. Vocabulary
3. Mode: The value that occurs the most in a set;
4. Measures of Central Tendency:
5. Range:

11. Vocabulary
3. Mode: The value that occurs the most in a set;
There can be one, more than one, or none
4. Measures of Central Tendency:
5. Range:

12. Vocabulary
3. Mode: The value that occurs the most in a set;
There can be one, more than one, or none
4. Measures of Central Tendency: Represent the central
value of a set;
5. Range:

13. Vocabulary
3. Mode: The value that occurs the most in a set;
There can be one, more than one, or none
4. Measures of Central Tendency: Represent the central
value of a set; Mean, median, and mode;
5. Range:

14. Vocabulary
3. Mode: The value that occurs the most in a set;
There can be one, more than one, or none
4. Measures of Central Tendency: Represent the central
value of a set; Mean, median, and mode; Shows
the typical characteristics of the set
5. Range:

15. Vocabulary
3. Mode: The value that occurs the most in a set;
There can be one, more than one, or none
4. Measures of Central Tendency: Represent the central
value of a set; Mean, median, and mode; Shows
the typical characteristics of the set
5. Range: The difference between the highest and
lowest values of a set

16. Finding Mean, Median, Mode, and
Range

17. Finding Mean, Median, Mode, and
Range
Can be done without calculator, but takes longer

18. Finding Mean, Median, Mode, and
Range
Can be done without calculator, but takes longer
Mean: Add up all values, then divide by # of values

19. Finding Mean, Median, Mode, and
Range
Can be done without calculator, but takes longer
Mean: Add up all values, then divide by # of values
Median: Arrange in order, find middle value
(average two values if between them: even # of
values)

20. Finding Mean, Median, Mode, and
Range
Can be done without calculator, but takes longer
Mean: Add up all values, then divide by # of values
Median: Arrange in order, find middle value
(average two values if between them: even # of
values)
Mode: Find which shows up most

21. Finding Mean, Median, Mode, and
Range
Can be done without calculator, but takes longer
Mean: Add up all values, then divide by # of values
Median: Arrange in order, find middle value
(average two values if between them: even # of
values)
Mode: Find which shows up most
Range: Highest minus lowest

22. With a TI-84/TI-83

23. With a TI-84/TI-83

24. With a TI-84/TI-83

25. With a TI-84/TI-83

26. With a TI-84/TI-83

27. With a TI-84/TI-83

28. With a TI-84/TI-83

29. With a TI-84/TI-83

30. With a TI-84/TI-83

31. With a TI-84/TI-83

32. With a TI-84/TI-83

33. With a TI-84/TI-83

34. With a TI-84/TI-83

35. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.

36. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean

37. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean
$13,685

38. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median
$13,685

39. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median
$13,685 $13,715

40. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median Mode
$13,685 $13,715

41. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median Mode
$13,685 $13,715 None

42. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median Mode Range
$13,685 $13,715 None

43. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
a. Determine the measures of central tendency
and range for the data.
Mean Median Mode Range
$13,685 $13,715 None $3,020

44. Example 1
The annual tuition fees at 6 colleges are $12,560,
$14,300, $13,750, $12,400, $13,680, $15,420.
b. Which measure of central tendency is the
best indicator of the typical annual tuition fee
for these colleges? Why?
Mean Median Mode Range
$13,685 $13,715 None $3,020

45. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74

46. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean

47. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean
72.5

48. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median
72.5

49. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median
72.5 75.5

50. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median Mode
72.5 75.5

51. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median Mode
72.5 75.5 77

52. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median Mode Range
72.5 75.5 77

53. Example 2
Find the measures of central tendency for the
following scores:
77 58 77 91 68 63 69 86 85 45 77 74
Mean Median Mode Range
72.5 75.5 77 46

54. Problem Set

55. Problem Set
p. 12 #1-24
“If you can find a path with no obstacles, it
probably doesn’t lead anywhere.”
- Frank A. Clark