STATISTICAL QUESTIONS
ORGANIZING DATA
MEAN & MEDIAN
BOX PLOTS
MAD & VARIATION
100

 Is this a statistical question?

How many movies did you watch last weekend?

No.
 It asks for one person's answer.

100

 What is a frequency?


 The number of times a value or group of values occurs.

100

Find the mean:

5, 10, 15

10

100

What are the five-number summary values used to create a box plot?

Minimum, Q1, Median, Q3, and Maximum 

100

What does MAD stand for?

Mean Absolute Deviation

200

 Is this a statistical question?

How many amusement parks has a typical middle school student visited?


Answer: Yes.
 Answers will vary from student to student.

200

 A survey asks students how many movies they watched last weekend.

Data:

1, 2, 1, 0, 4, 3, 1, 2, 0, 3

How many students watched 0–1 movies?

5 students

200

 Find the median:

17, 13, 29, 21, 47

21

200

 What does the line inside the box represent?

mean

200

What are the steps to find MAD

1) find mean 

2) subtract mean from values 

3) find mean from step 2 

300

 Is this a statistical question?

How high is the roller coaster?


Answer: No.

300

 Using the same data, how many students watched 2–3 movies?

Data:

1, 2, 1, 0, 4, 3, 1, 2, 0, 3

4 students 

300

 Find the mean:

5, 11, 6, 7, 9, 4

7

300

 What does Q1 represent?

Mean for the lower quartile 
300

Team A has a MAD of 15.

Team B has a MAD of 8.

Which team has more variation?

A larger MAD means the data values are more spread out. 

400

Is this a statistical question? 

How many pets does the average 6th grader have?

Yes, we would get a variety of answers from our class.

400

A class collected these numbers of cans:

15, 49, 37, 22, 42, 23, 13, 31, 12, 39

How many values belong in the interval 15–29?

3 cans 

400

 Find the median:

8, 3, 12, 5, 9

8

400

 A box plot has:

  • Lower extreme = 15

  • Q1 = 20

  • Median = 35

  • Q3 = 50

  • Upper extreme = 60

What is the IQR?

30

400

Question:
Find the MAD of:

4, 6, 8, 4, 5

4.6

500

 What makes a question a statistical question?


It expects different answers from a group of people or measurements and involves collecting data.

500

A class collected these numbers of cans:

15, 49, 37, 22, 42, 23, 13, 31, 12, 39

How many values belong in the interval 30-44?

4 cans 

500

 Trevon recorded these shooting distances:

16, 12, 13, 11, 11, 12


What is the median? 

12

500

 A data set has:

  • Q1 = 12

  • Q3 = 27

What is the IQR?

15

500

Find Mean Absolute Deviation of 

46, 58, 50, 53, 48, 57 

4

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