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9.6_Linear Transformation of data

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

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...

a)

mean

b)

median

c)

quartiles

d)

IQR

2.

Multiplying or dividing all the observations in a data set by the same amount will affect which of the measures below?

a)

mean

b)

standard deviation

c)

mode

d)

range

e)

all of the above

3.

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?

a)

$25

b)

$38

c)

$13

d)

$12

4.

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?

a)

The standard Deviation would remain the same (Sorry Carole)

b)

3

c)

5.646

d)

7.938

5.

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?

a)

IQR=6.5

b)

IQR=8.5

c)

IQR=13

d)

IQR=15

6.

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.

a)

3

b)

9

c)

7

d)

6

7.

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?

a)

9

b)

3

c)

6

d)

18

8.

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.

a)

True

b)

False

9.

TRUE OR FALSE:

When adding a constant to a data set, you have to add that constant to the range, IQR, and standard deviation.

a)

True

b)

False

10.

TRUE OR FALSE:

When multiplying a data set by a constant, you only multiply the range, IQR, and standard deviation by that constant.

a)

True

b)

False