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Common Core: 6th Grade Math : Statistics & Probability

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 #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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Example Question #1 : Find Mean

Find the average of this set of numbers:

521, 834, 754, 902, 899

Possible Answers:

782

600

754

378

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 #12 : Data Analysis

Find the mean in this set of numbers:

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

Possible Answers:

4120

5226

5213

2440

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 #14 : Data Analysis

Find the average of this set of numbers:

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

Possible Answers:

2529

2525

2552

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 #15 : Data Analysis

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:

$\$3.37$

$\$10.11$

$\$3.39$

$\$3.30$

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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Example Question #16 : Data Analysis

In my town, a gallon of gas costs $3.47, $3.79 and $3.60 in three different stations. What is the average price of a gallon of gas in my town?

Possible Answers:

$\$3.62$

$\$10.86$

$\$3.47$

$\$3.79$

$\$3.60$

Correct answer:

$\$3.62$

Explanation:

First, add all of the prices:

3.47+3.79+3.60=10.88

Then, divide by 3 (total number of stations)

$10.88\div 3=3.62$

Answer: The average price for a gallon of gas in my town is $\$3.62.$

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Example Question #17 : Data Analysis

Find the mean in this set of numbers:

3343, 4434, 4334, 3343, 4343, 3434, 3334

Possible Answers:

3343

1100

3334

3795

Correct answer:

3795

Explanation:

First, add all the numbers in this set:

3343+4434+4334+3343+4343+3434+3334=26565

Then, divide by 7 (the amount of numbers in this set):

$26565 \div 7=3795$

Answer: The mean is 3795

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All Common Core: 6th Grade Math Resources

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Common Core: 6th Grade Math : Statistics & Probability

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

All Common Core: 6th Grade Math Resources

Example Questions

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

Example Question #1 : Find Mean

Example Question #12 : Data Analysis

Example Question #14 : Data Analysis

Example Question #15 : Data Analysis

Example Question #16 : Data Analysis

Example Question #17 : Data Analysis

All Common Core: 6th Grade Math Resources

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