Mean Median Mode Range
Population and Sample Questions
Box and Whisker Plots
Finding estimate of population using Sample
Mean Median Mode Range
100

What is the mean in the following data set:


1, 3, 12, 9, 7, 4, 7, 11, 28, 3, 1, 6, 12

mean: 8

100

An on-line book seller randomly chooses 200 book buyers from its database and then surveys those book buyers to find out if they were satisfied with the time it took to deliver their orders.  Is the sample valid?

Yes, it is a random sample.

100

Which Box and Whisker Plot has a greater median value, Westminster Theater or Oak Grove Theater? 

Westminster Ave

100

A high school has 1,800 students. A random sample of 80 shows that 24 have cell phones. Predict the number of students in the high school who have cell phones.

540 students.

100

What is the mode or modes of the following data set?

1, 3, 12, 9, 7, 4, 7, 11, 3, 1, 6

1, 3, and 7

200

What is the median in the following data set?


1, 3, 12, 9, 7, 4, 7, 11, 3, 1, 6

6

200

Cole surveys 80 high school students who are leaving a jazz concert to determine the favorite type of music among high school students.  Is this a good sample?

No, they likely will all like the same type of music (jazz) since they are attending a jazz concert.

200

Which Box and Whisker Plot has a greater range, Westminster Theater or Oak Grove Theater?

Westminster Theater.

200

A mint produces 150,000 souvenir coins each year. In a random sample of 400 coins, 3 have a misprint. Predict the number of coins that will have misprints in a year. 

1,125 coins

200

What is the mode or modes of the following data set?

1, 3, 12, 9, 7, 4, 7, 11, 3, 7, 1, 6

7


300

What is the mean of the following data set?

1, 3, 12, 9, 7, 4, 7, 11, 3, 1, 6

5.8

300

The school board wants to study computer literacy among teachers. Which would represent a random sample of teachers?

 A. all high school math teachers

 B. teachers from the middle school whose name begins with N

 C. all male teachers

 D. every eighth teacher on an alphabetical list


D. every eighth teacher on an alphabetical list

300

Which Box and Whisker Plot has a greater interquartile range, Greystone Inn or Sam's Place?

Greystone Inn.

300

In a random sample, 7 of 50 students have traveled to a foreign country.  Predict the number that traveled to a foreign country out of the entire population if there are 400 students total.

56 students.

300

Which data set has a greater mean?


A.  23, 24, 19, 16, 29, 27, 12, 9

or

B.  23, 19, 40, 26, 25, 22, 10, 12

B is greater. 

A has a mean of 19.875

B has a mean of 22.125

400

What is the range of the following data set.


20, 22, 28, 32, 20, 23, 34, 30

14

400

You run a donut shop and want to learn more about how many people prefer their donuts to have sprinkles. What is your POPULATION?

All the customers at the donut shop. 

400

The bigger the box means the ____________ the variability.  (greater or less)

Greater

400

South Middle School has 580 students.  Mr. Jarocki surveys a random sample of 30 students and finds that 12 of them have pet dogs.  How many students at the school are likely to have pet dogs?

232 Students.

400

What is the mode of the following data set?


23, 24, 19, 16, 29, 27, 12, 9

no mode.

500

What is the median?


16, 14, 19, 56, 20, 26, 24, 13, 14

median: 19

500

Rowan wants to find out the exercise habits of local children. He plans to survey every 3rd child he sees coming out of a sporting goods store.  He thinks his sample is good and not biased.  Do you agree?

It is biased. Kids who go to sporting goods stores may enjoy sports and exercise more than others. This is not a random sample. 

500

What is the difference between the range and the interquartile range (IQR)

Range = the full graph from end to end. 

IQR = the range/length of the box 

500

A researcher catches 40 fish and tags 8 of them. If we want to continue this pattern, and there are 300 fish in the lake, how many should be tagged? 

60 fish

500

What is the 

a) mean

b) median

c) range

d) mode

16, 14, 19, 14, 20, 26, 24, 13, 14, 14

mean: 17.4

median: 15

range: 13

mode: 14

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