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Challenge Problems
100

Find the mean of the following data:

23, 17, 19, 21, 15, 25, 24, 19, 18

Round to the nearest hundredth

20.11

100

Use the data to find the Q2

1, 4, 6, 7, 10

6

100

Drew, Dylan, and Deacon all rode their bikes to different locations throughout the week and recorded their daily mileage. Find the median based on the following results:

12, 14, 12, 15, 16, 17, 18, 20, 12, 10, 8, 14, 16

14

100

What kind of graph would you use with the following data

Steps: 41,000 - 44,000 - 43,000 - 46,000

Month: Sept    -  Oct     -   Nov    -   Dec

Line graph

100

Person A was born on Jan 15, 1948

Person B was born on Jan 15, 1962

If both are alive now, in what year was person A twice as old as person B?

1976

200

Find the mean:

0, 0, 34, 21, 676, 19, 100, 42, 37, 71

100

200

Use the data to find Q3

7, 4, 5, 6, 7

7

200

Jim and Susie are baking cupcakes for their neighborhood gathering. These are the following ingredient and quantities they used for all of the cupcakes:

22 eggs

7lbs of flour

4lbs of sugar

2lbs of butter

1 gallon of vanilla extract

25 tubes of icing

1/2 gallon of cocoa powder.

What is the mode?

25 tubes of icing

200

What kind of graph would you use with the following data:

Siblings?      0      1       2       3      4

Frequency   31     49     56     38     21


Bar graph or dot plot

200

A group of 12 girl scouts had enough for to last for 8 days when they arrived at camp. However, 4 more scouts joined them without bringing any extra food. How long will the food last if each scout is given the same daily ration as originally planned?

6 days

300

The average height of 2 siblings is 73 inches. If one sibling is 5'7, how tall is the other sibling?

79 inches or 6'7

300

Use the data to find Q1

1, 3, 7, 8, 9, 12, 14, 18, 25

5.5

300

Timothee ran the following times for their 5k cross country races. Find the mean.

18:34, 18:12, 17:56, 18:41, 17:44

18:13

300

How many axis does a graph have?

2

300

The result of multiplying a counting number by itself is a square number. For example 1, 4, and 9 are square numbers. 1x1 = 1, 2x2 = 4, 3x3=9. What year in the 20th (1901 - 2000) century was a square number?

1936 (44x44)

400

A scale must have the same weight on both sides to be balanced. One side has an average of 17 lbs with 4 items. The other side has 3 items, 1 is 31 lbs while the other 2 are the same weight. How much does one item weigh?

18.5 lbs

400

Find the IQR with the following data

19, 24, 27, 27, 28, 31, 33

7

400

A survey of local movie theaters found the following ticket prices (in dollars): 10.50, 11.00, 10.50, 9.75, 12.00, and 11.25.

If a new theater opens in town and sets its ticket price so that the new mean price is exactly the same as the current median price of the original six theaters, what is the price of a ticket at the new theater?

$10.25

400

A title serves what purpose on a graph?

Provide a snapshot for the data below. Helps people to understand what they are looking at. Provides context

400

A group of 21 people went to the county fair with 9 people on a stagecoach and 3 people in each buggy. On the return trip, 4 people rode in each buggy. How many people returned on the stagecoach?

5

500

The mean of 4 test scores is 89. What must the next score be to achieve a 91 average overall?

99

500

Find the IQR

3, 19, 2, 6, 11, 12, 18, 16

12.5

500

A baker tracks the number of dozens of donuts sold each day for a week (7 days). The data set shows: 12, 18, 15, 12, 20, 18, y.

If the mode of the number of dozens sold is 12 and the median is 15, what is the value of y?

12

500

A frequency table should be ordered ...

Least to greatest.

500

When Anne, Betty, and Cynthia compare the amount of money each had, they discovered that Anne and Betty together had $12, Betty and Cynthia together had $18, and Anne and Cynthia had $10. Who had the least amount of money, and how much was it?

Anne - $2