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Common Core: 6th Grade Math : Grade 6

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

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Data Analysis

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

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

Possible Answers:

76.5

77.3

77.8

79.6

75.7

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 #2 : Data Analysis

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 #3 : Data Analysis

Give the mean of the following eight scores:

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

Possible Answers:

75.5

72.5

72.875

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 #2 : Data Analysis

Give the mean of the following nine scores:

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

Possible Answers:

75.5

72.5

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 : Data Analysis

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 #4 : Data Analysis

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:

5.375

5.0625

5.5

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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Example Question #21 : Data Analysis And Probability

Find the average of this set of numbers:

521, 834, 754, 902, 899

Possible Answers:

782

754

378

600

Correct answer:

782

Explanation:

First, add all the numbers in this set:

521+834+754+902+899=3910

Divide, 3910 by the total amount of numbers in the set:

$3910\div 5=782$

Answer: The average is 782.

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Example Question #1 : Find Mean

Find the mean in this set of numbers:

5570, 4886, 5226, 4120, 6561, 4120, 6008

Possible Answers:

5226

2440

4120

5213

Correct answer:

5213

Explanation:

First, add all the numbers in this set:

5570+4886+5226+4120+6561+4120+6008=36491

Then, divide that amount by the total number in the set:

$36491\div 7=5213$

Answer: The mean is 5213.

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Example Question #2 : Mean

Find the average of this set of numbers:

2521, 2512, 2525, 2552, 2551, 2525, 2517

Possible Answers:

2529

2552

2525

Correct answer:

2529

Explanation:

First, add all the numbers in this set:

2521+ 2512+2525+2552+2551+2525+2517=17703

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

$17703\div 7=2529$

Answer: The average is 2529.

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Example Question #2 : Mean

In my town, a gallon of milk costs $3.21, $3.39 and $3.51 in three different stores. What is the average price of a gallon of milk in my town?

Possible Answers:

$\$10.11$

$\$3.37$

$\$3.39$

$\$3.30$

Correct answer:

$\$3.37$

Explanation:

First, add all of the prices:

3.21+3.39+3.51=10.11

Then divide, that amount by 3 (number of stores in town):

$10.11\div 3=3.37$

Answer: The average price of a gallon of milk is $\$3.37.$

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All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

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Common Core: 6th Grade Math : Grade 6

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #1 : Data Analysis

Example Question #2 : Data Analysis

Example Question #3 : Data Analysis

Example Question #2 : Data Analysis

Example Question #6 : Data Analysis

Example Question #4 : Data Analysis

Example Question #21 : Data Analysis And Probability

Example Question #1 : Find Mean

Example Question #2 : Mean

Example Question #2 : Mean

All Common Core: 6th Grade Math Resources

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