Ms. Rigano's Math Classes



Checking your understanding: Ch 1.2 Name:

1. The dotplot below displays data on the number of siblings reported by each student in a statistics class.

a. Describe the shape of the distribution.

b. Describe the center of the distribution.

c. Describe the spread of the distribution.

d. Identify any potential outliers.

2. Use the back-to-back stemplot to write a few sentences

comparing the number of pairs of shoes owned by males and

females. Be sure to address shape, center, spread, and outliers.

3. The graph to the right displays the percents

of freshmen at colleges who plan to major in

various different diciplines.

a. Is this a bar graph or a histogram? Explain.

b. Would it be correct to describe this

distribution as right-skewed? Why or why not?

4. Many people believe that the distribution of IQ scores follow a normal “bell curve.” In reality is this really how scores are distributed? The IQ scores of 60 fifth-grade students chosen at random from one school are shown below.

145 |139 |126 |122 |125 |130 |96 |110 |118 |118 |101 |142 |134 |124 |112 | |109 |134 |113 |81 |113 |123 |94 |100 |136 |109 |131 |117 |110 |127 |124 | |106 |124 |115 |133 |116 |102 |127 |117 |109 |137 |117 |90 |103 |114 |139 | |101 |122 |105 |97 |89 |102 |108 |110 |128 |114 |112 |114 |102 |82 |101 | |

a. Construct a histogram that effectively displays the distribution of IQ scores.

b. Describe what you see. Is the distribution normal?

c. Is this sample a good representation of fifth-graders IQ’s? Explain.

5. Billy made the historgram below to display the length s (in numbers of letters) of the frist 100 words in a journal article. He did it wrong.

Length |1 |2 |3 |4 |5 |6 |7 |8 |9 |10 |11 |12 |13 | |Count |1 |15 |25 |7 |5 |7 |6 |7 |7 |6 |8 |3 |1 | |

a. What did he do wrong? Explain.

b. Draw a histogram that correctly

represents the data.

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