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Worksheets9.6_Linear Transformation of data
Total questions: 10
Worksheet time: 5mins
Adding or subtracting a value to all the observations in a data set will increase each of the following by that amount, except for this one...
mean
median
quartiles
IQR
Multiplying or dividing all the observations in a data set by the same amount will affect which of the measures below?
mean
standard deviation
mode
range
all of the above
Suppose the weekly earnings of 7 Dunkin' Donuts employees are:
$40, $46, $47, $48, $50, $50, $53
The Range of these weekly earnings is $13.
If each worker is given a $25 bonus, what is the new range?
$25
$38
$13
$12
During her time on Dancing with the Stars, Carole Baskin received the following scores:
11, 16, 12.
The standard deviation of her scores is 2.16. If Carole was able to add 3 points to each of her scores, what would the new standard deviation be?
The standard Deviation would remain the same (Sorry Carole)
3
5.646
7.938
Suppose we asked 9 people how many Bernie memes they saw yesterday and the response was (# of memes):
10, 12, 12, 13, 14, 15, 18, 19, 22
The IQR of this data is 6.5. If each of these numbers are doubled, what will the new IQR be?
IQR=6.5
IQR=8.5
IQR=13
IQR=15
Suppose your data set is
1, 1, 2, 3, 5, 8, 9
The median for this data set is 3. Find the new median if each term is multiplied by 3.
3
9
7
6
Suppose we have the following data set:
5, 14, 9, 9, 6, 3, 0, 9, 3
With a mode = 9. If we multiply each number in our set by 2, what will the new mode be?
9
3
6
18
TRUE OR FALSE:
If you add a constant to a data set, you have to add that constant to the mean, median, mode, quartiles, and all the numbers in the data set.
True
False
TRUE OR FALSE:
When adding a constant to a data set, you have to add that constant to the range, IQR, and standard deviation.
True
False
TRUE OR FALSE:
When multiplying a data set by a constant, you only multiply the range, IQR, and standard deviation by that constant.
True
False
