Download Algebra II 11.2 – Transformations to Data

Algebra II
11.2 – Transformations to Data
Learning Target: By the end of today's lesson, we will successfully be able to determine the effects of adding or
multiplying data by a constant.
ADDING A CONSTANT TO EVERY DATA VALUE:
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Add the same constant to the original mean, median and mode to get the new measures of central tendency.
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Range and standard deviation do not change.
1) The following statistics describe the data set: 9, 13, 14, 22, 22
Mean: 16
Median: 14
Mode: 22
Range: 13
Standard Deviation:
26.8  5.18
Then, 10 was added to each value in the data set to produce: 19, 23, 24, 32, 32
Mean:
Median:
Mode:
Range:
Standard Deviation:
MULTIPLYING EVERY DATA VALUE BY A CONSTANT:
-
Multiply the constant by the original mean, median, mode, range, and standard deviation to get the new
measures of central tendency and dispersion.
2) The following statistics describe the data set: 3, 3, 5, 8, 11
Mean: 6
Median: 5
Mode: 3
Range: 8
Standard Deviation:
9.6  3.10
Then, 4 was multiplied to each value in the data set to produce: 12, 12, 20, 32, 44
Mean:
Median:
Mode:
Range:
Standard Deviation:
3) The data set below gives the prices (in dollars) of bags of dog food at a pet store. 17, 19, 25, 31
a) Find the mean, median, mode, range, and standard deviation of the prices.
b) The store has a sale in which all bags of dog food are 25% off. Find the mean, median, mode, range, and
standard deviation of the sale prices.