Topic 8-6

6a. What is the median of the data?

(a)  

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CCSS.6.SP.B.5C

6b. What is the mode of the data?

(a)  

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CCSS.HSS.ID.A.1

9a. The best measure of center for these data is:

• Median, because it is less affected by outliers.

• Mode, because it always represents the most typical value.

• Mean, because it uses all data values.

• Range, because it shows the spread of the data.

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

9b. Find that measure of center.

(a)  

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CCSS.6.SP.A.3

9b. Find that measure of center.

(a)  

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CCSS.6.SP.B.5C

12. 12. Hayden believes that the data set contains outliers and argues that the best measure of variability is the IQR because the median is a good measure to describe a data set that contains outliers. Is Hayden correct?

• Yes, because the IQR and median are less affected by outliers.

• No, because the quartiles and medium are at extremes.

• Yes, because the mean is always best for outliers.

• No, because the IQR is affected by outliers.

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CCSS.6.SP.B.5D

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13. 13. What is the term and the value of the middle number of the data set?

• The term is 'median' and the value is 13,000.

• The term is 'mode' and the value is 15,000.

• The term is 'mean' and the value is 12,000.

• The term is 'range' and the value is 14,000.

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CCSS.6.SP.A.3

14. 14. Make Sense and Persevere: Which value in the data set occurs at least twice? Can it occur 3 times?

• 12,500, it can only occur twice because only 2 of the 5 numbers can be less than 13,000.

• 12,500, it can occur three times

• 13,000, it can only occur twice because only 2 of the 5 numbers can be less than 13,000.

• 1,200 A value in the data set can occur only once or twice.

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CCSS.6.SP.A.2

17. 17. Be Precise: If the coach bases her decision on measures of center, whom should she choose as the top bowler for the next meet?

• Jessie

• Sam

• Both have the same average

• Neither

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CCSS.7.SP.B.4

18. If the coach bases her decision on the player who is most consistent, whom should she choose? Justify your answer using measures of variability.

• Jessie, because her scores have less variability.

• Sam, because his scores have less variability.

• Jessie, because her average score is higher.

• Sam, because his average score is higher.

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CCSS.7.SP.B.4