Data and Statistics Test Review

Data and Statistics Test Review

Measures of Center and Spread

• Mean: Average -- add all the numbers up and divide by how many numbers you have

• Median: Middle -- cross out numbers on each side until you get to the middle. If there are two numbers in the middle, add them together and divide by two.

• Mode: Most occurring -- see which number appears the most. There may be two modes

• Range: Distance between the largest and smallest number -- Subtract the smallest number from the largest number

Multiple Choice

Find the range.
12, 5, 9, 18, 22, 25, 5

• 20
• 15
• 22
• 18

Multiple Choice

The number of miles that Jenna cycled each week for a 7-week period is shown:

36, 42, 28, 52, 48, 36, 31

What is the median number of miles Jenna cycled?

• 24

• 36

• 39

• 52

Multiple Choice

Roger has the following data:

12, 10, 3, 5, 6

Susan has the following data:

5, 9, 4, 5, 6

Who has the data with the highest median and what is it?

• Roger - 6

• Susan - 7

• Roger - 8

• Susan - 5.5

Multiple Choice

What is the mean of the following set of data?

2, 6, 10, 31, 14, 8

• 11.8

• 71

• 12

• 14.2

Multiple Choice

What is the median of the following data set?

25, 42, 36, 12, 19

• 36

• 25

• 39

• 26.5

Mean Absolute Deviation

• Step One: Find the mean

• Step Two: Find the distances from the mean

• Step Three: Find the mean of the distances

• The higher the MAD the more variation or spread in the data

Multiple Choice

Find the MAD:

58, 38, 54, 48, 26, 36

• 43

• 20

• 10

• 12

Multiple Choice

Which M.A.D. would show the most variability?

• .5
• 1
• 1.5
• 2

Multiple Choice

Find the Mean Absolute Deviation: (MAD)

10, 9, 3, 8, 10.

• 3

• 5

• 1

• 2

Multiple Choice

Which mean absolute deviation would have a greater variability or spread?  4.2 or 8.5?

• 4.2
• 8.5

Multiple Choice

Find the Mean Absolute Deviation: 5, 11, 2, 7, 16. The Mean is 8.2

• 3.2

• 2.8

• 1.2

• 4.2

Box Plots

• Show median, lower quartile (Q1), upper quartile (Q3), minimum and maximum

• Interquartile Range (IQR) = Q3 - Q1

• The lower quartile is the median of the data below/to the left of the median

• The upper quartile is the median of the data above/to the right of the median

Multiple Choice

What is the interquartile range (IQR)?

• 20

• 25

• 30

• 50

Multiple Choice

Which box and whisker plot has the highest median?

• Top plot

• Bottom plot

Multiple Choice

What is the median?

• 62
• 58
• 66
• 60

Multiple Choice

What is the minimum value?

• 64

• 58

• 66

• 60

Multiple Choice

What value is the lower quartile?

• 66

• 58

• 60

• 64

Dot Plots

• Use the dot plot to write down the data points, then solve for mean, median, or MAD

• 
  

• 
  

• 
  

Multiple Choice

How many more students scored a 98 than scored a 88?

• 4
• 2
• 6
• 35

Multiple Choice

What is the difference between the highest score and the lowest score on the test?

• 15

• 100

• 6

• 10

Multiple Choice

How many students spent 7 hours doing homework that week?

• 1

• 3

• 5

• 6

Let's Practice

All types of test questions

Multiple Choice

The double dot plot shows the number of city pet registrations for several days.

• The mean number of cat registrations is greater than the mean number of dog registrations.

• The dogs’ data has a mean of 10 registrations.

• The cats’ data has a mean of 15 registrations.

• The mean number of dog registrations is greater than the mean number of cat registrations.

Multiple Choice

Find the Mean Absolute Deviation: (MAD)

10, 9, 3, 8, 10.

• 3

• 5

• 1

• 2

Multiple Choice

Find the MAD of the following data sets: $29, $58, $15, $129, $75, $22

• 196

• 54.7

• 114

• 32.67

Multiple Choice

Which restaurant has a higher median wait time?

• Lucy's Steakhouse

• Gary's Grill

• They are the same

Multiple Choice

Which has a greater interquartile range?

• Airplane A

• Airplane B

• Both the same

Multiple Choice

Which car club has the higher median?

• Cruisers

• Car Hops

• Neither, they are the same

Multiple Choice

What is the IQR of the Cruisers?

• 4

• 6

• 13

• 9

Multiple Choice

What is the range in gas mileage for cars?

• 2
• 3
• 4
• 6

Multiple Choice

What is the difference between the medians for the two data sets? 

• 0 tickets
• 2 tickets
• 4 tickets
• 6 tickets

Multiple Choice

The double dot plot shows the gas mileage, in miles per gallon, for several cars and SUVs.

• The cars have a greater gas mileage with a greater variation.

• The cars have a greater gas mileage with a less variation.

• SUVs have less gas mileage with greater variation.

• SUVs are centered around a greater median.

Multiple Choice

The double dot plot shows the gas mileage, in miles per gallon, for several cars and SUVs.

• The cars have a greater gas mileage with a greater variation.

• The cars have a greater gas mileage with a less variation.

• SUVs have less gas mileage with greater variation.

• SUVs are centered around a greater median.