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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Example Questions

Example Question #12 : Find Mean

Find the mean of this set of numbers:

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

Possible Answers:

\(\displaystyle 5745\)

\(\displaystyle 327\)

\(\displaystyle 5858\)

\(\displaystyle 5885\)

Correct answer:

\(\displaystyle 5745\)

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:

\(\displaystyle 40215\div 7=5745\)

Answer: The mean is 5745.

Example Question #13 : Find Mean

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

Possible Answers:

\(\displaystyle 226\)

\(\displaystyle 228\)

\(\displaystyle 215\)

\(\displaystyle 227\)

\(\displaystyle 238\)

Correct answer:

\(\displaystyle 227\)

Explanation:

Add the numbers, and divide by 5:

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

Example Question #14 : 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:

\(\displaystyle 72\)

\(\displaystyle 79\)

\(\displaystyle 75\)

\(\displaystyle 76\)

Correct answer:

\(\displaystyle 79\)

Explanation:

First, add all the miles travelled:

\(\displaystyle 76+89+72=237\)

Then, divide by 3:

\(\displaystyle 237\div 3=79\)

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

Example Question #21 : How To Find 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:

\(\displaystyle \$3.00\)

\(\displaystyle \$1.50\)

\(\displaystyle \$2.68\)

\(\displaystyle \$2.78\)

Correct answer:

\(\displaystyle \$2.68\)

Explanation:

First, add all the prices:

\(\displaystyle 2.78+3.68+1.58=8.04\)

Then, divide that amount by 3:

\(\displaystyle 8.04\div 3=2.68\)

Answer: The average price of a candle is $2.68

Example Question #452 : Ssat Middle Level Quantitative (Math)

Find the mean in this set of numbers:

9078, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

\(\displaystyle 9800\)

\(\displaystyle 9156\)

\(\displaystyle 9099\)

\(\displaystyle 9009\)

Correct answer:

\(\displaystyle 9156\)

Explanation:

First add all the numbers:

\(\displaystyle 9078+9008+9800+9099+9009+9090+9008=64,092\)

Then, divide that number by 7:

\(\displaystyle 64,092\div 7=9156\)

Answer: The mean is 9156

Example Question #1711 : Grade 6

While shopping for a couch, Mila found four she really liked. Each cost \(\displaystyle \$549\), \(\displaystyle \$689\)\(\displaystyle \$481\) and \(\displaystyle \$729\). What is the average price of a couch Mila is considering?

Possible Answers:

\(\displaystyle \$689.00\)

\(\displaystyle \$612.00\)

\(\displaystyle \$549.00\)

Correct answer:

\(\displaystyle \$612.00\)

Explanation:

First, add all the prices:

\(\displaystyle 549+689+481+729=2448\)

Then, divide by 4 (the number of couches):

\(\displaystyle 2448 \div 4=612\)

Answer: The average price of a couch Mila is considering is $612.

Example Question #23 : 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:

\(\displaystyle \$21.63\)

\(\displaystyle \$13.39\)

\(\displaystyle \$24.60\)

\(\displaystyle \$73.80\)

Correct answer:

\(\displaystyle \$24.60\)

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):

\(\displaystyle 73.80 \div 3=24.60\)

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

Example Question #11 : How To Find Mean

Find the mean in this set of numbers:

\(\displaystyle 565,655, 655, 555, 665\)

Possible Answers:

\(\displaystyle 619\)

\(\displaystyle 110\)

\(\displaystyle 655\)

\(\displaystyle 620\)

\(\displaystyle 555\)

Correct answer:

\(\displaystyle 619\)

Explanation:

First add all the numbers in the set:

\(\displaystyle 565+655+655+555+665=3095\)

Then, divide that number by 5:

\(\displaystyle 3095\div 5=619\)

Answer: The mean is 619.

Example Question #25 : How To Find Mean

Find the mean in this set of numbers:

210, 120, 110, 220, 120

Possible Answers:

\(\displaystyle 154\)

\(\displaystyle 155\)

\(\displaystyle 156\)

\(\displaystyle 150\)

Correct answer:

\(\displaystyle 156\)

Explanation:

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

\(\displaystyle 210+120+ 110+220+120=780\)

Then, divide: \(\displaystyle 780 \div 5=156\)

Answer: The mean is 156.

Example Question #1712 : Grade 6

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:

\(\displaystyle 89.42\)

\(\displaystyle 88.99\)

\(\displaystyle 89.00\)

\(\displaystyle 90.00\)

Correct answer:

\(\displaystyle 89.42\)

Explanation:

First, add up all of the prices:

\(\displaystyle 85.98+93.29+88.99=268.26\)

Then, divide \(\displaystyle 268.26 \div 3= 89.42\).

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

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