Numerical vs. Categorial Data and Absolute Deviation
Histograms
Dot Plots
Mode and Range
Mean and Median
100

If you surveyed the class, would this question provide numerical data or categorical data?

What is your favorite type of music? 


Categorical data

100

What is the most common age group?


16-20


100

Describe the spread of this dot plot. 


This dot plot has a large spread. 

100

What is the range: 

3,4,5,6,8,9

6

100

Find the mean of this set. Round to the nearest tenth. 

3, 5, 7, 7, 8, 8, 8

Mean: 6.6


200

Write an example of a question that would give you numerical data if you surveyed the class. 

Any question that provides an answer that is a number. 

Example: How many hours did you sleep last night?

200

The histogram below represents peoples test scores. How many people took the test?

18

200

What is the center of this dot plot?



6

200

What is the range of this set: 

3, 10, 4, 20, 8, 2, 6

18

200

Find the median of this set:

3, 4, 10, 5, 6, 1, 8, 2, 1

Median: 4

300

The dot plot shows the number of hours people exercise per week. If the mean is 2.5 What is the absolute deviation of data point 9. 


6.5

300

True or False? This histogram can tell you how many 48-year-olds won the lottery.

False. We know 6 people in the 40-49 age range won the lottery, but we don't know their exact age.

300

What is the center of this dot plot?

31.5

300

What is the mode of this set: 

9, 6, 4, 9, 7, 6, 4, 9, 7, 8, 9

9

300

Find the mean and median of this set. Round to the nearest tenth. 

3, 4, 5, 6, 7, 8, 10

Mean: 6.1

Median: 6

400

Six students were asked how long they spend reading for pleasure each week. Here is how they responded:

1 hr, 1 hr, 3 hr, 5 hr, 2 hr, 0 hr 

Find the mean, then determine the absolute deviation of data point 0. 

Mean: 2 hours

Absolute Deviation of data point 0: 2 hours

400

How many lottery winners were at least 60 years old?

9

400

Which dot plot shows more consistent scores?


Friend's Basketball Scores

400

What is the mode of this set: 

3, 4, 5, 6, 7, 10

No Mode 

400

What is the mean, and median of this set:

1, 2, 3, 2, 2, 2, 1, 3

Mean: 2

Median: 2


500

Find the mean. Then determine the absolute deviation of data point 3.

 


Mean: 2

Absolute Deviation of Data Point 3: 1

500

True, false, or not enough information? All of the lottery winners were at least 21 years old. 

Not enough information. We know 2 people in the 20-29 age range won the lottery, but we don't know their exact ages.

500

Find the center of the dot plot AND describe the shape. 

 

Center: 6

The dot plot looks like two mountains or two triangles. 

500

What is the mode of this set: 

4, 3, 7, 8, 4, 6, 6, 6, 7, 4 

4 and 6

500

Find the mean and median of this set. Round to the nearest tenth. 

45, 30, 20, 50, 23, 19


Mean: 31.2

Median: 26.5



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