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Common Core: 6th Grade Math : Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

Study concepts, example questions & explanations for Common Core: 6th Grade Math

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All Common Core: 6th Grade Math Resources

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Example Questions

Example Question #551 : Ssat Middle Level Quantitative (Math)

Subtract the mode from the median in this set of numbers:

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

Correct answer:

Explanation:

First, order the numbers from least to greatest:

9008, 9008, 9009, 9080, 9090, 9099, 9800

Then, find the mode (the most recurring number): 9008

Then, find the median (the middle number): 9080

Finally, subtract the mode from the median:

9080-9008=72

Answer: 72.

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Example Question #5 : Median

Consider the data set: $\left \{ 13, 18, 20, 22, 24, 29, 30, 36\right \}$

What is the difference between the mean of this set and the median of this set?

Possible Answers:

0.5

1.5

Correct answer:

Explanation:

To get the mean, add the numbers and divide by 8:

$\left ( 13+ 18+ 20+ 22+ 24+ 29+ 30+ 36 \right )\div 8 = 192 \div 8 = 24$

To get the median, find the mean of the fourth- and fifth-highest elements (the ones in the middle):

$(22 + 24) \div 2 = 46 \div 2 = 23$

The difference is 24-23 = 1

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Example Question #1 : How To Find Range

The difference between 2996 and 4515 is closest to

Possible Answers:

2500

2000

1500

1000

3000

Correct answer:

1500

Explanation:

Round 2996 up to 3000 and 4515 down to 4500. The difference between 4500 and 3000 is 1500.

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Example Question #1 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

In a group of 4 books, the average number of pages is is 10. Juan adds a book with 20 pages to the group. What is the new average number of pages?

Possible Answers:

Correct answer:

Explanation:

If the average of 4 books was 10, then the total number of pages was $4\times10 =40$ . Adding in the 20 new pages, but now dividing by 5 you get 60/5 = 12 .

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Example Question #2 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Give the mean of the data set (nearest tenth, if applicable):

$\left \{ 56,78,98,85,77,73 \right \}$

Possible Answers:

79.6

75.7

76.5

77.8

77.3

Correct answer:

77.8

Explanation:

Add the six elements and divide the sum by 6:

56 + 78 + 98 + 85 +77 + 73 = 467

$467 \div 6 \approx 77.8$

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Example Question #3 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the mean of this set of numbers:

54, 41, 99, 120, 66.

Possible Answers:

Correct answer:

Explanation:

Firrst, add the numbers:

54+41+99+120+66=380

Then, divide by the amount of numbers in the set:

$380\div 5=76$

Answer: The mean is 76.

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Example Question #4 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Give the mean of the following eight scores:

$\left \{ 61, 67, 80, 72, 76, 73, 90, 68 \right \}$

Possible Answers:

75.5

72.875

72.5

73.375

Correct answer:

73.375

Explanation:

Divide the sum of the scores by eight:

$\frac{ 61+ 67+80+72+76+73+90+ 68}{8} = \frac{ 587}{8} = 73.375$

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Example Question #5 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Give the mean of the following nine scores:

$\left \{ 61, 67, 80, 72, 76, 73, 90, 68, 70 \right \}$

Possible Answers:

72.5

75.5

Correct answer:

Explanation:

Divide the sum of the scores by nine:

$\frac{ 61 + 67+ 80+ 72+ 76+73+90+68+70}{9} = \frac{ 657}{9} = 73$

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Example Question #6 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

The average age of 4 people is 12. What will be the sum of their ages in 3 years?

Possible Answers:

Correct answer:

Explanation:

The current sum of their ages is $12\times 4=48$ . Since all 4 people will gain 3 years in age, we have to add 12 to the current sum.

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Example Question #1 : Mean

Give the mean of the following data set:

$\left \{1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 10 \right \}$

Possible Answers:

5.5

5.0625

5.375

Correct answer:

5.0625

Explanation:

Since there are 16 elements, divide their sum by 16 to get the mean:

$(1+ 2+ 3+ 3+ 4+ 4+ 4+ 5+ 5+ 6+ 6+ 6+ 6+ 7+ 9+ 10) \div 16 = 81 \div 16 = 5.0625$

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Find Measures of Center, Variability, and Patterns in Data: CCSS.Math.Content.6.SP.B.5c

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #551 : Ssat Middle Level Quantitative (Math)

Example Question #5 : Median

Example Question #1 : How To Find Range

Example Question #1 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #2 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #3 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #4 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #5 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #6 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #1 : Mean

All Common Core: 6th Grade Math Resources

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