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Spread Analysis HW

Total questions: 22

Worksheet time: 44mins

Name
Class
Date
1.

What does the spread of a dot plot represent?

a)

The range of the data

b)

The average value of the data

c)

The middle value of the data

d)

The total sum of the data

2.

How can you identify the center of spread in a box plot?

a)

By locating the median line inside the box

b)

By finding the highest value

c)

By calculating the mean of the data

d)

By identifying the longest whisker

3.

What is the mean absolute deviation of the data set 3, 7, 7, 2, 5?

a)

2

b)

2.4

c)

3

d)

4.8

4.

Which of the following is true about comparing the spread of two dot plots?

a)

The plot with the dots closer together has a larger spread.

b)

The plot with the dots more spread out has a smaller spread.

c)

The plot with the dots more spread out has a larger spread.

d)

The spread of dot plots cannot be compared.

5.

In a box plot, if the interquartile range is small, what does it indicate about the spread of the data?

a)

The data is widely spread.

b)

The data is closely packed.

c)

The data is skewed.

d)

The data cannot be determined.

6.

How do you calculate the mean absolute deviation of a data set?

a)

Find the mean, subtract each data point from the mean, square the differences, and then find the average of the squares.

b)

Find the median, subtract each data point from the median, and then find the average of the differences.

c)

Find the mean, subtract each data point from the mean, take the absolute value of each difference, and then find the average of these absolute values.

d)

Add all the data points together and divide by the number of data points.

7.

If two dot plots have the same range but different variances, what does this tell you?

a)

They have the same spread.

b)

They have the same center.

c)

They have a different distribution of data points within the range.

d)

They cannot be compared.

8.

What does a larger mean absolute deviation indicate about a data set?

a)

The data points are closer to the mean.

b)

The data points are more spread out from the mean.

c)

The data set has more outliers.

d)

The data set has a smaller range.

9.

When comparing the spread of two data sets using dot plots, what should you look for?

a)

The number of dots

b)

The distance between consecutive dots

c)

The overall range and distribution of the dots

d)

The color of the dots

10.

How is the center of spread in a box plot different from that in a dot plot?

a)

A box plot uses the median as the center, while a dot plot uses the mean.

b)

A box plot shows the center as a line, while a dot plot does not explicitly show the center.

c)

A box plot cannot show the center of spread, while a dot plot can.

d)

There is no difference in how they show the center of spread.

11.

What is the mean absolute deviation of the data set 10, 15, 10, 20, 15?

a)

3

b)

3.5

c)

4

d)

5

12.

Why is the mean absolute deviation a useful measure of spread?

a)

It gives a precise location of the center.

b)

It is not affected by outliers.

c)

It provides a way to quantify the average distance of data points from the mean.

d)

It is easier to calculate than the standard deviation.

13.
Find the MAD for the following set: 85, 90, 68, 75, 79
a)
79.4
b)
6.48
c)
32.4
d)
79
14.

What is the mean absolute deviation of the numbers:

10, 8, 5, 12, 20

a)

3.4

b)

4

c)

11

d)

5

15.
What is the mean?
a)
# happening the most
b)
the number in the middle
c)
biggest-smallest
d)
the average
16.

Find the median: 12, 15, 13, 18, 23, 5?

a)

14

b)

16

c)

16.5

d)

18

17.

What is the mode in the following numbers? [3, 24, 3, 7, 30, 1, 3, 7, 3]

a)

3 and 7 both are modes

b)

1 and 7 both are modes

c)

3 only

d)

7 only

18.
What is the difference between the highest score and the lowest score on the test?
a)
15
b)
100
c)
6
d)
10
19.

What is the mean of the data? (0's still count as numbers)

a)

2.1333...

b)

32

c)

15

d)

2.46

20.
Which box and whisker plot shows more "spread out" data?
a)
Top plot
b)
Bottom plot
21.

What is Florida's median?

a)

10

b)

15

c)

12

d)

18

22.

What is the median on this box pot?

a)

52

b)

54

c)

56

d)

63