Mean, Median, Mode, Interquartile Range and Mean Absolute Deviation
10
Find the mean of the data set: 5, 8, 17, 20, 0
88
Find the median: 79, 86, 86, 97 100, 95, 67
45
Find the median: 87, 56, 45, 23, 23, 34, 64, 23, 54
7
Find the mode(s) of the data set: 7, 12, 1, 5, 7, 8, 7
44
Find the mode(s): 44, 29, 13, 44, 15
64
Find the mode(s): 89, 72, 34, 35, 35, 35, 64, 64, 77, 88, 64, 88, 64
100 and 13.5
Find the mode(s): 92, 100, 100, 23, 24, 99, 13.5, 13.5
14
Find the range of the data set: 2, 4, 6, 8, 12, 16
54
Find the range: 2, 8, 10, 12, 56, 9, 5, 2, 4,
88
Find the range: 56, 79, 80, 80, 93, 16, 16, 17, 5
96
Find the range: 67, 35, 67, 67, 13, 108, 109
53
Find the range: 73, 45, 67, 87, 98
range
The difference between the greatest value and the least value.
statistics
The science of collecting, organizing, analyzing, and interpreting data.
11
What is the IQR for this data set: 19, 27, 14, 28, 30, 51, 28 ?
18
What is the IQR for this data set: 22, 83, 80, 87, 75, 69, 88 ?
35
What is the IQR for this data set: 52, 72, 96, 21, 58, 40, 75?
19
What is the Q1 for this data set: 19, 27, 14, 28, 30, 51, 28 ?
17
What is the Q1 for this data set: 20, 21, 18, 17, 20, 15, 56?
69
What is the Q1 for this data set: 22, 83, 80, 87, 75, 69, 88 ?
30
What is the Q3 for this data set: 19, 27, 14, 28, 30, 51, 28 ?
21
What is the Q3 for this data set: 20, 21, 18, 17, 20, 15, 56?
87
What is the Q3 for this data set: 22, 83, 80, 87, 75, 69, 88 ?
75
What is the Q3 for this data set: 52, 72, 96, 21, 58, 40, 75?
4
What is the mean absolute deviation of the values? $63, $59, $72, $68, $61, $67
10.0
What is the mean absolute deviation of these numbers? 110, 108, 100, 90, 88, 80
4.0
What is the mean absolute deviation of these numbers? 12 ,9, 4,2, 12, 1, 9
3.6
What is the mean absolute deviation of these numbers? 14, 7, 6, 5, 13
3.1
What is the mean absolute deviation of these numbers? 20, 21, 30, 17, 14, 18, 20
2.5
What is the mean absolute deviation of these numbers? 22, 20, 28, 24
1.25
What is the mean absolute deviation of these numbers? 5, 7, 4, 6, 3, 5, 3, 7
2.9
What is the mean absolute deviation of these numbers? 90, 80, 92, 91, 88, 89
28
What is the median for this data set: 19, 27, 14, 28, 30, 51, 28 ?
20
What is the median for this data set: 20, 21, 18, 17, 20, 15, 56?
80
What is the median for this data set: 22, 83, 80, 87, 69, 66, 88 ?
58
What is the median for this data set: 52, 72, 96, 21, 58, 40, 75?
data
group of facts; collection of information
first quartile (Q1)
the median of the lower half of a data set.
third quartile (Q3)
the median of the upper half of a data set.
median
the middle value in a data set.
mean
the sum of the data divided by the number of items in the data set.
mode
the value that occurs most often in a data set.
steps to find the MAD
1) find the mean of the data set; 2) subtract to find the distance each value is from the mean; 3) find the mean of the distances (divide the sum of the distances by the number of values)
steps to find the IQR
1) order the data; 2) find the median of the data; 3) find the median of the lower half of the data (Q1); 4) find the median of the upper half of the data (Q3); 5) subtract Q3-Q1
measure of variation
A measure that describes the distribution (the spread) of a data set (such as the range).
measure of center
A measure that describes the typical value of a data set (such as mean, median, mode)
statistical question
A question which you do not expect to get a single answer.
mean absolute deviation
one measure of variability; the average of how much the individual scores of a data set differ from the mean of the set. - abbreviation: MAD
2.0
What is the mean absolute deviation of these numbers? 51, 57, 52, 55, 53, 50
34.5
Find the mean: 39, 34, 35, 42, 45, 12,
5.5
Find the mean: 9, 7, 2, 4, 3, 5, 9, 6, 8, 0, 3, 8
7.5
Find the median of the data set: 7, 12, 1, 5, 7, 8
52.5
Find the median: 21, 32, 45, 60, 13, 25
4
What is the IQR for this data set: 20, 21, 18, 17, 20, 15, 56?
40
What is the Q1 for this data set: 52, 72, 96, 21, 58, 40, 75?
2.4
What is the mean absolute deviation of the numbers? 33, 38, 31, 36, 37