Unit 10 Review (6th Grade - Statistics & Data)

Which of the following are good statistical questions?

• A.  Which hair stylist has worked the longest?

• B.  How much hair, in inches, will Shania trim from her bangs?

• C.  How many haircuts did each stylist in New York City perform last month?

• D.  What time does the Precision Cuts hair salon open Sunday morning?

Why is the question below a good example of a statistical question?

Question: How many cell phones did each salesperson in a T-Mobile store sell last month?

• A.  Cell phone sales are recorded in whole numbers, not fractions or decimal numbers.

• B.  Since the salespeople worked last month, the cell phones were actually sold.

• C.  We don’t know how many salespeople worked last month.

• D.  There should be variability in the number of cell phones sold.

After the first six math tests of the school year, Nate had earned the following scores:

84, 91, 95, 86, 80, 92

If he earns an 81 on the next test, what will happen to the mean of his scores?

• A.  It will decrease.

• B.  It will stay the same.

• C.  It will increase.

• D.  It is impossible to determine.

Autumn recorded the price of strawberries, per carton, at each Farmer’s Market for a full year.  She performed the following calculations with the data:

Strawberry cost per carton (average): $7.50

Strawberry cost per carton (median): $7.25

Strawberry cost per carton (mode): $7.30

Strawberry cost per carton (range): $3.25

Which measure shows how the prices of strawberries vary during the year?

• A.  average

• B.  median

• C.  mode

• D.  range

Wendell surveyed the 15 members of the high school soccer team and asked how many years of soccer they had played.  The results are shown in the line plot.

Which of the following statements is true?

• A.  The spread of the data is 5 with a peak at 10.

• B.  The spread of the data is 5 with a peak at 12.

• C.  The spread of the data is 12 with a peak at 10.

• D.  The spread of the data is 12 with a peak at 12.

How would you describe the data shown on the line plot?

Which of the following statements is true?

• A.  The data is skewed left because the mean is less than the median.

• B.  The data is skewed left because the median is less than the mean.

• C.  The data is skewed right because the mean is less than the median.

• D.  The data is skewed right because the median is less than the mean.

Answer explanation

You would have to find the mean and median to determine the values of each.

What is true about the data?

• A.  There is an outlier at 2.

• B.  There is an outlier at 5.

• C.  There is an outlier at 7.

• D.  There is an outlier at 8.

Jarrett recorded the number of points four basketball players scored in the previous seven games.  He ordered the number of points from least to greatest.

Buddy: 19, 22, 24, 27, 27, 27, 28

De’Aaron: 14, 17, 20, 21, 23, 23, 25

Marvin: 9, 11, 11, 12, 12, 17, 24

Richaun: 10, 13, 13, 14, 15, 15, 18

When placed on a line plot, which player’s data is symmetrical?

• A.  Buddy

• B.  De’Aaron

• C.  Marvin

• D.  Richaun

Answer explanation

You may need to make your own line plot for each player.

Aiden asked 24 students at his school how many times they had attended a cinema to watch a movie in the last year.  Those results are shown in the table.  Which line plot represents the data accurately?

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Tom surveyed movie goers and asked what score, out of 100, they would give the new movie “The Aloof Alligator.”  He then compiled the data on the histogram shown.

How many people gave the movie a score lower than or equal to 60?

• A.  5

• B.  10

• C.  15

• D.  25