Section 11.2
Transformations
of Data
The data sets below gives the test scores of several students.
90, 92, 82, 92, 94
a) Find the mean, median, mode, range, and standard deviation of
the test scores.
Mean: 90
Median: 92
Mode: 92
Range: 12
Standard Deviation: 4.2
b) Each student receives 10 points for correctly answering a bonus
question. Find the mean, median, mode, range, and standard
deviation of the test scores including the bonus question.
Mean: 100
Median: 102
Mode: 102
Range: 12
Standard Deviation: 4.2
The data sets below gives the test scores of several students.
90, 92, 82, 92, 94
a) Find the mean, median, mode, range, and standard deviation of
the test scores.
Mean: 90
Median: 92
Mode: 92
Range: 12
Standard Deviation: 4.2
b) Each student’s score is multiplied by 1/2 , so that the test is worth
only 50 points rather than 100. Find the mean, median, mode, range,
and standard deviation of the new test scores.
Mean: 45
Median: 46
Mode: 46
Range: 6
Standard Deviation: 2.1
Let’s use what we learned!
The data sets below gives the prices in dollars of car batteries
at an auto parts store.
80, 60, 65, 90, 45, 55, 70, 55, 65, 90, 65
Mean: 67.3
Median: 65
Mode: 65
Range: 45
Standard Deviation: 13.7
a) The store rises the prices of each battery $5. Find the mean,
median, mode, range, and standard deviation of the new prices.
b) The store rises the prices of each battery 10%. Find the mean,
median, mode, range, and standard deviation of the new prices.