Statistics Review Stage 5 SACHS
RANGE: the highest score minus the lowest score.
32, 48, 12, 25, 37, 8, 41, 17, 28, 22
Range =
MODE: the score(s) that occurs the most
7, 12, 12, 14, 15, 15, 15, 18
Mode =
MEDIAN: the middle score when scores are in order.
If 2 middle scores, average them.
a. 3, 4, 7, 9, 12, 14, 17, 18, 20
b. 6, 11, 12, 13, 15, 15, 15, 18
Median =
Median =
MEAN: the sum of scores divided by the number of scores
Mean =
7, 12, 12, 14, 15, 15, 15, 18
=
where Q1 and Q3 represent the first and third quarters    when the median grouping are again split in two.
The actual median is not part of the bottom                 or top half of scores.
INTER-QUARTILE RANGE (IQR): Q3 – Q1
Q1 =
a. 12, 14, 15, 16, 16, 18, 19
IQR =
Q3 =
where Q1 and Q3 represent the first and third quarters    when the median grouping are again split in two.
When the median falls between two scores,    no scores are omitted from either half.
INTER-QUARTILE RANGE (IQR): Q3 – Q1
Q1 =
b. 2, 4, 6, 7, 7, 8, 9, 9
IQR =
Q3 =
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