Statistical Questions
Measures of Variation, IQR; Range
Mean
Median
Box and Whisker Plot
100

What are the 2 parts of a statistical Question?

Data must be collected to answer the question and the data must have variability.

100

Given the five number summary, what is the IQR?

minimum: 20

Q1: 30

Q2: 62

Q3: 70

Maximum: 92


What is 40 (70-30)

100

Given the data set, find the mean.

20, 40, 80, 90 

What is 57.5

100

Given the data set, find the Median.

0, 5, 7, 8, 3, 1, 9, 9, 5, 8, 10, 1

What is 6

100

Given the data set, what is Q1?

20, 30, 80, 40, 100, 30, 30 

What is 30

200

Mrs. Weber asked the class the question "What is your favorite color".  Is this a statistical question?

What is yes

200

What is the range of the data set: 3, 2, 34, 5, 12, 14?

What is 32 (34 - 2)

200

Given the data set below, find the range. 

5, 7, 10, 14, 16, 19

What is 14 (19-5)

200

Given the data set, find the median.

5, 6, 3, 2, 8, 9, 5, 5, 2

What is 5?

200

Given the data set, what is Quartile 

3, 1, 2, 3, 5, 6, 2, 5 

What is 5

300

How many years of experience do teachers at Gateway have?  Is this a statistical question?

What is yes

300

What is one measure of variability for the data set below:

5, 8, 12, 11, 22, 7, 4, 0, 6, 24, 23, 22

The range: 24 (24-0)

The IQR:16.5 (22 - 5.5)

The MAD:~6.3

300

Here are a students grades: 90,60,80,70,50 Find the average or mean of the numbers.

What is 70

300

Is this the correct order to find the median? 

12, 9, 5, 2, 3, 1? Explain.


No. They need to be ordered from least to greatest.

300

Given the data set, identify Q1, Q2, Q3.

1, 3, 2, 5, 6, 8, 16, 2, 4, 5, 2, 10, 21 

What is

Q1=2 

Q2=5

Q3=9

400

How many kids have Nike shoes? 

Is this a statistical question? Explain why?

What is No; The answer to this question does not have a variability of answers.

400

Below is a 5 number summary. What is the IQR?

Minimum: 2

Q1:6

Q2: 8

Q3: 13

Maximum: 23

What is 7 (13-6)

400

Given the data set, Find the mean.

30, 50, 80, 210

What is 92.5

400

Given the data set, find the median.

11, 15, 6, 18, 4, 3, 12, 10, 12, 40, 43, 5

What is 11.5

400

Given the data set, find the median.

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


What is 4

500

How many cities in the state of Washington have populations above 500,000? Is this a statistical or non-statistical question?

What is non-statistical. There will not be variability in the data collected.

500

Define upper and lower quartile.

What is Upper Quartile - the median of the upper half of the data set. 

Lower Quartile - the median of the lower half of the data

500

Given the data set, find the MAD

200, 300, 400, 450, 500 

What is 96

500

Given the data set, find the MAD. Round the MAD to the nearest tenth.

24, 40, 28, 31, 22, 33, 25

What is 4.9

500

Given the data set, find the five number summary.

1, 5, 6, 8, 4, 3, 2, 10, 2, 40, 43, 5

minimum-1

Q1-2.5

Q2-5

Q3-9

Maximum-43

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