MATH Basic Algebra I  - Unit 32: Statistics and Graphs

Measures of Central Tendency


1)

Why are graphs important? 


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2)

Define the mean of a set of data and explain how to find it. 


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3)

Define the median of a set of data and explain how to find it. 


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4)

Define the mode of a set of data. 


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5)

Define the range of a set of data. 


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6)

State the mean, median, mode, and range for the set of data. 


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7)

State the mean, median, mode, and range for the set of data. 

Hint:  Start by listing the numbers in order from the least to the greatest.


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8)

State the mean, median, mode, and range for the set of data. 

Hint:  Start by listing the numbers in order from the least to the greatest.


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Dot Plots


9)

Create a dot plot by hand (not using technology) for the following scenario: A group of students are asked how many movies they have seen in the last 6 months. Their answers are as follows:

0, 4, 6, 10, 9, 4, 5, 0, 1, 4, 8, 10, 4, 0, 2, 4, 6, 3, 7, 4, 8, 4, 1, 2, 4.

Attach your dot plot with the prompt provided.


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Histograms


10)

Describe a histogram. 


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Refer to the histogram to answer the next four questions.

The graph shows the amount of inches of snowfall recorded per day.

(For example, 5 inches of snow was recorded for 3 days of the month.)


11)

How many days of the month are represented in the histogram?

Hint:  Add the number of days represented by all of the blue bars.


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12)

What amount of snowfall was recorded most often on a daily basis?


13)

Five days of the month recorded how much snowfall?


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14)

Six inches of snowfall was recorded for how many days?


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15)

16 people were asked how much cash they had in their wallet at a specific time. The data collected was as follows: 16, 5, 13, 12, 31, 32, 24, 47, 42, 77, 67, 61, 87, 81, 93, 87. Which histogram correctly represents the data?


Box-and-whisker Plot

Use the box-and-whisker plot to answer the following questions.


16)

What is the least value in the set of data?


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17)

What is the upper quartile?


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18)

What is the median? 


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19)

What is the interquartile range?


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The box-and-whisker plots represent the test scores for the Chapter 9 test in three of Mrs. White’s Algebra I classes. Use the plots to answer the next five questions.


20)

What is the median of 5th period?


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21)

What is the upper extreme of 2nd period?


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22)

What is the lower quartile of 8th period?


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23)

Which classes have the same interquartile range?


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24)

Which statement is true?


25)

Create a box-and-whisker plot by hand (not using technology) based on the following data. You will need to attach it.  Also, type in the box or write on your histogram, specifically, the values you found for the median, lower quartile, upper quartile, lower extreme, upper extreme, and IQR (interquartile range). Also, list any outliers you found.

Data for box-and-whisker: 20, 15, 45, 33, 19, 30, 31, 32, 31, 30, 27, 34, 50, 22, 29, 30


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