Grade 6 | Unit 8 | Lesson 7: Using Histograms to Answer Statistical Questions | Practice Problems

Grade 6 | Unit 8 | Lesson 7: Using Histograms to Answer Statistical Questions | Practice Problems

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Illustrative Mathematics

Mathematics

6th Grade

Hard

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8 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

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These two histograms show the number of text messages sent in one week by two groups of 100 students. The first histogram summarizes data from sixth-grade students. The second histogram summarizes data from seventh-grade students. Description: Two histograms, text messages sent per week by sixth grade students and seventh grade students, 45, to 155 by tens. First graph, sixth grade students, beginning at 45 up to but not including 44, height of bar at each interval is 2, 0 11, 21, 27, 24, 12, 3, 3, 0, 1. Second graph, seventh grade students, beginning at 75 up to but not including 85, height of bar at each interval is 7, 30, 31, 24, 3. Do the two data sets have approximately the same center? If so, explain where the center is located. If not, which one has the greater center?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

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Which data set has greater spread? Explain your reasoning.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

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Overall, which group of students—sixth- or seventh-grade—sent more text messages?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Forty sixth-grade students ran 1 mile. Here is a histogram that summarizes their times, in minutes. The center of the distribution is approximately 10 minutes. On the blank axes, draw a second histogram that has: a distribution of times for a different group of 40 sixth-grade students. a center at 10 minutes. less variability than the distribution shown in the first histogram.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How many possible solutions make both inequalities true? If possible, describe or list the solutions.

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8.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Order these numbers from greatest to least:

0