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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 #7 : How To Find Mean

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:

$\$10.86$ $\displaystyle \$10.86$

$\$3.47$ $\displaystyle \$3.47$

$\$3.79$ $\displaystyle \$3.79$

$\$3.60$ $\displaystyle \$3.60$

$\$3.62$ $\displaystyle \$3.62$

Correct answer:

$\$3.62$ $\displaystyle \$3.62$

Explanation:

First, add all of the prices:

$\displaystyle 3.47+3.79+3.60=10.88$

Then, divide by 3 (total number of stations)

$10.88\div 3=3.62$ $\displaystyle 10.88\div 3=3.62$

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

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Example Question #2 : Mean

Find the mean in this set of numbers:

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

Possible Answers:

3343 $\displaystyle 3343$

3795 $\displaystyle 3795$

1100 $\displaystyle 1100$

3334 $\displaystyle 3334$

Correct answer:

3795 $\displaystyle 3795$

Explanation:

First, add all the numbers in this set:

$\displaystyle 3343+4434+4334+3343+4343+3434+3334=26565$

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

$26565 \div 7=3795$ $\displaystyle 26565 \div 7=3795$

Answer: The mean is 3795

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Example Question #14 : How To Find Mean

Find the mean for this set of numbers:

6366, 6336, 6366, 6633, 6333, 6363, 6669

Possible Answers:

6450 $\displaystyle 6450$

6430 $\displaystyle 6430$

6435 $\displaystyle 6435$

6438 $\displaystyle 6438$

Correct answer:

6438 $\displaystyle 6438$

Explanation:

First, add all the numbers in the set:

$\displaystyle 6366+6336+6366+6633+6333+6363+6669=45066$

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

$45066\div 7=6438$ $\displaystyle 45066\div 7=6438$

Answer: The mean is 6438

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Example Question #15 : How To Find Mean

Felicia ran three races as a member of the track team. The races were 1000 meters, 2000 meters and 1800 meters, respectively. What was the average distance of the 3 races?

Possible Answers:

4800 $\displaystyle 4800$

1600 $\displaystyle 1600$

1200 $\displaystyle 1200$

3000 $\displaystyle 3000$

Correct answer:

1600 $\displaystyle 1600$

Explanation:

First, add the lengths of the races:

$\displaystyle 1000+2000+1800=4800$

Then divide by the number of races:

$4800 \div 3=1600$ $\displaystyle 4800 \div 3=1600$

Answer: The average race was 1600 meters.

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Example Question #1701 : Grade 6

Lori walks her dog for 13 minutes on Monday, 6.5 minutes on Wednesday and 10.5 on Friday. On average, how long are Lori's walks with her dog?

Possible Answers:

$\displaystyle 13$

$\displaystyle 10$

$\displaystyle 3$

$\displaystyle 30$

Correct answer:

$\displaystyle 10$

Explanation:

First, add all the lengths of time:

$\displaystyle 13+6.5+10.5=30$

Then, divide by 3 (the amount of days Lori walked her dog):

$30\div 3=10$ $\displaystyle 30\div 3=10$

Answer: 10 minutes

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Example Question #11 : Mean

Find the average of these amounts:

$34.78, $21. 69, $76.89, $47.88

Possible Answers:

45.31 $\displaystyle 45.31$

47.88 $\displaystyle 47.88$

41.31 $\displaystyle 41.31$

181.24 $\displaystyle 181.24$

Correct answer:

45.31 $\displaystyle 45.31$

Explanation:

First, add all the amounts:

$\displaystyle 34.78+21.69+76.89+47.88=181.24$

Then, divide by 4:

$181.24\div 4=45.31$ $\displaystyle 181.24\div 4=45.31$

Answer: The average is 45.31

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Example Question #21 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the mean of this set of numbers:

5855, 5588, 5585, 5858, 5885, 5559, 5885

Possible Answers:

327 $\displaystyle 327$

5745 $\displaystyle 5745$

5885 $\displaystyle 5885$

5858 $\displaystyle 5858$

Correct answer:

5745 $\displaystyle 5745$

Explanation:

First, add the numbers in the set:

$\displaystyle 5855+5588+5585+5858+5885+5559+5885=40215$

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

$40215\div 7=5745$ $\displaystyle 40215\div 7=5745$

Answer: The mean is 5745.

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Example Question #22 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Find the mean of the following set of numbers: 227, 215, 206, 238, 249

Possible Answers:

215 $\displaystyle 215$

228 $\displaystyle 228$

238 $\displaystyle 238$

227 $\displaystyle 227$

226 $\displaystyle 226$

Correct answer:

227 $\displaystyle 227$

Explanation:

Add the numbers, and divide by 5:

$\frac{ 227 + 215 +206+238+ 249}{5} = \frac{1,135}{5} = 227$ $\displaystyle \frac{ 227 + 215 +206+238+ 249}{5} = \frac{1,135}{5} = 227$

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Example Question #11 : Find Mean

Mason went on a road trip Saturday-Monday. Each day he travelled 76 miles, 89 miles and 72 miles. What was the average number of miles Mason travelled each day?

Possible Answers:

$\displaystyle 75$

$\displaystyle 72$

$\displaystyle 76$

$\displaystyle 79$

Correct answer:

$\displaystyle 79$

Explanation:

First, add all the miles travelled:

$\displaystyle 76+89+72=237$

Then, divide by 3:

$237\div 3=79$ $\displaystyle 237\div 3=79$

Answer: On average, Mason travelled 79 miles a day.

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Example Question #24 : Mean

Patricia bought three candles for her home. The candles cost $2.78, $3.68, $1.58, respectively. What was the average price of the candles that Patricia bought?

Possible Answers:

$\$2.78$ $\displaystyle \$2.78$

$\$3.00$ $\displaystyle \$3.00$

$\$2.68$ $\displaystyle \$2.68$

$\$1.50$ $\displaystyle \$1.50$

Correct answer:

$\$2.68$ $\displaystyle \$2.68$

Explanation:

First, add all the prices:

$\displaystyle 2.78+3.68+1.58=8.04$

Then, divide that amount by 3:

$8.04\div 3=2.68$ $\displaystyle 8.04\div 3=2.68$

Answer: The average price of a candle is $2.68

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All Common Core: 6th Grade Math Resources

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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 #7 : How To Find Mean

Example Question #2 : Mean

Example Question #14 : How To Find Mean

Example Question #15 : How To Find Mean

Example Question #1701 : Grade 6

Example Question #11 : Mean

Example Question #21 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #22 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #11 : Find Mean

Example Question #24 : Mean

All Common Core: 6th Grade Math Resources

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