## Data Sets.docx - Section 5: Independent Exploration

# Histogram... Instagram... Same Thing

Lesson 8 of 12

## Objective: SWBAT display data using a histogram as well as use histograms to analyze data.

*70 minutes*

#### Curriculum Reinforcer

*10 min*

Students will complete 3 questions to review previous concepts taught in units 1 through 5. The curriculum reinforcer, is a daily practice piece that is incorporated into almost every lesson to help my students to retain skills and conceptual understanding from earlier lessons. My strategy is to use Spiraled Review to help my students retain what they learned during the earlier part of the year. This will help me to keep mathematical concepts fresh in the students mind so that the knowledge of these concepts become a part of students' long term memories.

#### Resources

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#### Engagement

*10 min*

To open up today's lesson I will display a histogram and ask, “What kind of information does this histogram give us?”

I am looking for my students to answer with statements such as:

- Interval data
- Number of items in an interval
- Number of items in a data set
- Possible Data clusters
- The shape of the data

I will then as, "What kind of information does this histogram NOT give us?"

- I am looking form my students to answer with statements such as:
- You cannot find the mean using a histogram
- You cannot find the mode using a histogram
- You cannot find the range using a histogram
- You cannot calculate any specific data measures using a histogram

#### Resources

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In today’s instructional piece, I will show my students step by step how to create a frequency table and use that frequency table to create a histogram. During this process, I will be sure to pull understanding from students concerning what information a histogram can give us and what information a histogram cannot give us.

Also, during this instruction, I will be sure to emphasize the meaning of an interval as well as how a histogram should be labeled.

I have attached a video of how to create a frequency table when given a set of data. And, then use that frequency table to create a histogram.

Also attached to this section of this lesson is a document that contains some pretty good notes pertaining to the topic of this lesson. It would make a great handout to students.

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#### Try It Out

*5 min*

To give this a try, my students will use the following data set to create their own frequency table and histogram with my guidance.

Student Scores on Unit Math Test:

75 |
82 |
94 |
96 |
92 |

100 |
54 |
68 |
78 |
86 |

92 |
64 |
78 |
84 |
82 |

96 |
98 |
100 |
58 |
62 |

78 |
92 |
88 |
92 |
100 |

98 |
96 |
82 |
76 |
86 |

#### Resources

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#### Independent Exploration

*20 min*

Students will be put in six to eight groups. Each group will be given a set of data (3 or 4 groups will be given the same data for a total of 3 or 4 sets of data so that students can compare how different groups compiled the data). Students will have to create a frequency table and a histogram using the data given.

Please see the attached 4 pieces of data

#### Resources

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#### Closing Summary

*15 min*

Each group will place their chart paper from their task on the board. Those groups that completed the same data will be compared. The class and I will be looking to see if each group decided on the same size intervals. A group discussion will commence based upon what is seen in each of the data displays presented.

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- LESSON 1: Unit 6 Pre-Assessment
- LESSON 2: Statistical Questioning
- LESSON 3: Calculating Mean: A measure of central tendency
- LESSON 4: Median, Mode, Range, and the Outlaw called the Outlier
- LESSON 5: The Absolutes of Mean Absolute Deviation
- LESSON 6: Quiz: Calculating & Understanding Data Measures
- LESSON 7: The Shape Data Makes: Dot Plots
- LESSON 8: Histogram... Instagram... Same Thing
- LESSON 9: So, What's the Plot of this Box?
- LESSON 10: Statistical Diagnosis
- LESSON 11: Unit 6 Assessment:Statistics
- LESSON 12: What Are Your Statistics on Statistics?