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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 #22 : Data Analysis

Elizabeth went food shopping today. She spent $32.78, $21.63 and $19.39 at each supermarket. How much did Elizabeth spend, on average, at each supermarket?

Possible Answers:

$\$21.63$ $\displaystyle \$21.63$

$\$13.39$ $\displaystyle \$13.39$

$\$24.60$ $\displaystyle \$24.60$

$\$73.80$ $\displaystyle \$73.80$

Correct answer:

$\$24.60$ $\displaystyle \$24.60$

Explanation:

First, add the amounts Elizabeth spent at each supermarket:

$\displaystyle 32.78+21.63+19.39=73.80$

Then divide by 3 (the number of supermarkets she went to):

$73.80 \div 3=24.60$ $\displaystyle 73.80 \div 3=24.60$

Answer: On average, Elizabeth spent $24.60 at each supermarket.

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Example Question #24 : Find Mean

Find the mean in this set of numbers:

$\displaystyle 565,655, 655, 555, 665$

Possible Answers:

655 $\displaystyle 655$

619 $\displaystyle 619$

555 $\displaystyle 555$

110 $\displaystyle 110$

620 $\displaystyle 620$

Correct answer:

619 $\displaystyle 619$

Explanation:

First add all the numbers in the set:

$\displaystyle 565+655+655+555+665=3095$

Then, divide that number by 5:

$3095\div 5=619$ $\displaystyle 3095\div 5=619$

Answer: The mean is 619.

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Example Question #25 : Find Mean

Find the mean in this set of numbers:

210, 120, 110, 220, 120

Possible Answers:

154 $\displaystyle 154$

156 $\displaystyle 156$

150 $\displaystyle 150$

155 $\displaystyle 155$

Correct answer:

156 $\displaystyle 156$

Explanation:

First, add up all of the numbers in the set:

$\displaystyle 210+120+ 110+220+120=780$

Then, divide: $780 \div 5=156$ $\displaystyle 780 \div 5=156$

Answer: The mean is 156.

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Example Question #26 : Find Mean

Patricia is shopping for a coat. She is considering three coats. Each costs $85.98, $93.29 and $88.99, respectively. What is the average price of a coat she is considering?

Possible Answers:

89.00 $\displaystyle 89.00$

90.00 $\displaystyle 90.00$

88.99 $\displaystyle 88.99$

89.42 $\displaystyle 89.42$

Correct answer:

89.42 $\displaystyle 89.42$

Explanation:

First, add up all of the prices:

$\displaystyle 85.98+93.29+88.99=268.26$

Then, divide $268.26 \div 3= 89.42$ $\displaystyle 268.26 \div 3= 89.42$.

Answer: The average price of a coat is $89.42.

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Example Question #27 : Find Mean

Find the mean in this set of numbers:

11, 14, 13, 12, 18, 14, 12, 14, 17, 15

Possible Answers:

$\displaystyle 14$

$\displaystyle 15$

140 $\displaystyle 140$

$\displaystyle 16$

Correct answer:

$\displaystyle 14$

Explanation:

First, add up all of the numbers:

$\displaystyle 11+ 14+ 13+ 12+18+ 14+ 12+ 14+ 17+ 15=140$

Then, divide by ten because there are ten numbers in the set: $140\div 10=14$ $\displaystyle 140\div 10=14$

Answer: The mean is 14.

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Example Question #28 : Find Mean

Find the mean of this set of numbers:

787, 778, 878, 877, 780

Possible Answers:

820 $\displaystyle 820$

819 $\displaystyle 819$

800 $\displaystyle 800$

810 $\displaystyle 810$

Correct answer:

820 $\displaystyle 820$

Explanation:

First add up all of the numbers in the set:

$\displaystyle 787+ 778+ 878+ 877+ 778=4100$

Then, divide by five because there are five numbers in the set:

$4100\div 5=820$ $\displaystyle 4100\div 5=820$

Answer: The mean is 820 $\displaystyle 820$.

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Example Question #29 : Find Mean

Norma made 11 Valentine's Day cards on Saturday, 13 on Sunday, and 9 on Monday? On average how many cards did Norma make each day?

Possible Answers:

$\displaystyle 11$

$\displaystyle 13$

$\displaystyle 33$

$\displaystyle 3$

Correct answer:

$\displaystyle 11$

Explanation:

First, add the numbers:

$\displaystyle 11+13+9=33$

Then, divide by 3:

$33\div 3=11$ $\displaystyle 33\div 3=11$

Answer: On average, Norma made 11 cards each day.

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Example Question #271 : Data Analysis And Probability

Find the mean of this set of numbers:

$\displaystyle 524, 542, 452, 545, 455, 425, 522$

Possible Answers:

495 $\displaystyle 495$

425 $\displaystyle 425$

120 $\displaystyle 120$

522 $\displaystyle 522$

Correct answer:

495 $\displaystyle 495$

Explanation:

First, add the numbers:

$\displaystyle 524+ 542+ 452+ 545+ 455+ 425+ 522=3465$

Then, divide by 7:

$3465\div 7=495$ $\displaystyle 3465\div 7=495$

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Example Question #32 : Find Mean

Find the mean of this set of numbers:

$\displaystyle 879, 789, 978, 788, 789, 989, 899$

Possible Answers:

899 $\displaystyle 899$

879 $\displaystyle 879$

789 $\displaystyle 789$

873 $\displaystyle 873$

875 $\displaystyle 875$

Correct answer:

873 $\displaystyle 873$

Explanation:

First add the numbers in the set:

$\displaystyle 879+789+978+788+789+989+899=6111$

Then, divide by 7:

$6111\div 7=873$ $\displaystyle 6111\div 7=873$

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Example Question #33 : Find Mean

Peter went fishing and caught 5 fish the first hour, 3 fish the second hour, and 4 the last hour. On average, how many fish did Peter catch per hour?

Possible Answers:

$\displaystyle 6$

$\displaystyle 4$

$\displaystyle 5$

$\displaystyle 12$

$\displaystyle 3$

Correct answer:

$\displaystyle 4$

Explanation:

First, add up the three numbers:

$\displaystyle 5+3+4=12$

Then, divide by 3, because there are three numbers in the data set:

$12 \div 3=4$ $\displaystyle 12 \div 3=4$

Answer: On average, Peter caught 4 fish per hour.

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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 : Statistics & Probability

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

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #22 : Data Analysis

Example Question #24 : Find Mean

Example Question #25 : Find Mean

Example Question #26 : Find Mean

Example Question #27 : Find Mean

Example Question #28 : Find Mean

Example Question #29 : Find Mean

Example Question #271 : Data Analysis And Probability

Example Question #32 : Find Mean

Example Question #33 : Find Mean

All Common Core: 6th Grade Math Resources

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