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Common Core: 7th Grade Math : Use Measure of Center and Measure of Variability to Compare Populations: CCSS.Math.Content.7.SP.B.4

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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All Common Core: 7th Grade Math Resources

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Example Questions

Example Question #731 : Grade 7

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 3.18.47 pm

Possible Answers:

Business A- $\$1\textup,050$ $\displaystyle \$1\textup,050$

Business B- $\$1\textup,050$ $\displaystyle \$1\textup,050$

Business A- $\$1\textup,060$ $\displaystyle \$1\textup,060$

Business B- $\$1\textup,060$ $\displaystyle \$1\textup,060$

Correct answer:

Business B- $\$1\textup,060$ $\displaystyle \$1\textup,060$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,000+1\textup,200+900+1\textup,100+1\textup,050=5\textup,250$ $\displaystyle 1\textup,000+1\textup,200+900+1\textup,100+1\textup,050=5\textup,250$

Business B:

$1\textup,200+800+1\textup,000+1\textup,300+1\textup,000=5\textup,300$ $\displaystyle 1\textup,200+800+1\textup,000+1\textup,300+1\textup,000=5\textup,300$

Business B made the most profit, so the answer choices that said Business A made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{5\textup,250}{5}=1\textup,050$ $\displaystyle \frac{5\textup,250}{5}=1\textup,050$

Business B:

$\frac{5\textup,300}{5}=1\textup,060$ $\displaystyle \frac{5\textup,300}{5}=1\textup,060$

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Example Question #1 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 3.42.01 pm

Possible Answers:

Business B- $\$1\textup,140$ $\displaystyle \$1\textup,140$

Business A- $\$924$ $\displaystyle \$924$

Business A- $\$1\textup,140$ $\displaystyle \$1\textup,140$

Business B- $\$924$ $\displaystyle \$924$

Correct answer:

Business B- $\$1\textup,140$ $\displaystyle \$1\textup,140$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,300+100+1\textup,900+1\textup,170+150=4\textup,620$ $\displaystyle 1\textup,300+100+1\textup,900+1\textup,170+150=4\textup,620$

Business B:

$1\textup,100+700+1\textup,500+1\textup,000+1\textup,400=5\textup,700$ $\displaystyle 1\textup,100+700+1\textup,500+1\textup,000+1\textup,400=5\textup,700$

Business B made the most profit, so the answer choices that said Business A made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{4\textup,620}{5}=924$ $\displaystyle \frac{4\textup,620}{5}=924$

Business B:

$\frac{5\textup,700}{5}=1\textup,140$ $\displaystyle \frac{5\textup,700}{5}=1\textup,140$

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Example Question #1 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 3.49.08 pm

Possible Answers:

Business B- $\$1\textup,012$ $\displaystyle \$1\textup,012$

Business A- $\$1\textup,012$ $\displaystyle \$1\textup,012$

Business B- $\$944$ $\displaystyle \$944$

Business A- $\$944$ $\displaystyle \$944$

Correct answer:

Business A- $\$1\textup,012$ $\displaystyle \$1\textup,012$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,100+800+1\textup,600+1\textup,2700+290=5\textup,060$ $\displaystyle 1\textup,100+800+1\textup,600+1\textup,2700+290=5\textup,060$

Business B:

$1\textup,000+700+1\textup,400+1\textup,340+280=4\textup,720$ $\displaystyle 1\textup,000+700+1\textup,400+1\textup,340+280=4\textup,720$

Business A made the most profit, so the answer choices that said Business B made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{5\textup,060}{5}=1\textup,012$ $\displaystyle \frac{5\textup,060}{5}=1\textup,012$

Business B:

$\frac{4\textup,720}{5}=944$ $\displaystyle \frac{4\textup,720}{5}=944$

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Example Question #2 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 3.55.35 pm

Possible Answers:

Business B- $\$980$ $\displaystyle \$980$

Business A- $\$1\textup,068$ $\displaystyle \$1\textup,068$

Business A- $\$980$ $\displaystyle \$980$

Business B- $\$1\textup,068$ $\displaystyle \$1\textup,068$

Correct answer:

Business A- $\$1\textup,068$ $\displaystyle \$1\textup,068$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,300+700+1\textup,800+1\textup,200+340=5\textup,340$ $\displaystyle 1\textup,300+700+1\textup,800+1\textup,200+340=5\textup,340$

Business B:

$1\textup,100+500+1\textup,600+1\textup,300+400=4\textup,900$ $\displaystyle 1\textup,100+500+1\textup,600+1\textup,300+400=4\textup,900$

Business A made the most profit, so the answer choices that said Business B made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{5\textup,340}{5}=1\textup,068$ $\displaystyle \frac{5\textup,340}{5}=1\textup,068$

Business B:

$\frac{4\textup,900}{5}=980$ $\displaystyle \frac{4\textup,900}{5}=980$

Report an Error

Example Question #744 : Grade 7

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 4.02.21 pm

Possible Answers:

Business B- $\$1\textup,282$ $\displaystyle \$1\textup,282$

Business A- $\$1\textup,282$ $\displaystyle \$1\textup,282$

Business B- $\$1\textup,120$ $\displaystyle \$1\textup,120$

Business A- $\$1\textup,120$ $\displaystyle \$1\textup,120$

Correct answer:

Business B- $\$1\textup,282$ $\displaystyle \$1\textup,282$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,000+900+1\textup,800+1\textup,100+800=5\textup,600$ $\displaystyle 1\textup,000+900+1\textup,800+1\textup,100+800=5\textup,600$

Business B:

$1\textup,600+900+1\textup,700+1\textup,300+910=6\textup,410$ $\displaystyle 1\textup,600+900+1\textup,700+1\textup,300+910=6\textup,410$

Business B made the most profit, so the answer choices that said Business A made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{5\textup,600}{5}=1\textup,120$ $\displaystyle \frac{5\textup,600}{5}=1\textup,120$

Business B:

$\frac{6\textup,410}{5}=1\textup,282$ $\displaystyle \frac{6\textup,410}{5}=1\textup,282$

Report an Error

Example Question #745 : Grade 7

Two businesses monitored their profits for a week. Which business made the most profit, and what was the average profit per day of that business?

Screen shot 2016 03 01 at 4.07.13 pm

Possible Answers:

Business B- $\$1\textup,155$ $\displaystyle \$1\textup,155$

Business A- $\$1\textup,155$ $\displaystyle \$1\textup,155$

Business A- $\$1\textup,152$ $\displaystyle \$1\textup,152$

Business B- $\$1\textup,152$ $\displaystyle \$1\textup,152$

Correct answer:

Business B- $\$1\textup,155$ $\displaystyle \$1\textup,155$

Explanation:

This is a two part problem. First, we need to find out which business made the most profit during the week. To do this, we simply add up the profits from each day:

Business A:

$1\textup,500+750+1\textup,260+1\textup,700+550=5\textup,760$ $\displaystyle 1\textup,500+750+1\textup,260+1\textup,700+550=5\textup,760$

Business B:

$1\textup,300+800+1\textup,330+1\textup,670+675=5\textup,775$ $\displaystyle 1\textup,300+800+1\textup,330+1\textup,670+675=5\textup,775$

Business B made the most profit, so the answer choices that said Business A made the most profit can be eliminated.

To solve for the mean, we can take our added profits and divide them by the number of addends, which is $\displaystyle 5$:

Business A:

$\frac{5\textup,760}{5}=1\textup,152$ $\displaystyle \frac{5\textup,760}{5}=1\textup,152$

Business B:

$\frac{5\textup,775}{5}=1\textup,155$ $\displaystyle \frac{5\textup,775}{5}=1\textup,155$

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Example Question #746 : Grade 7

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score?

Possible Answers:

Student B- $\displaystyle 70$

Student B- $\displaystyle 80$

Student A- $\displaystyle 80$

Student A- $\displaystyle 70$

Correct answer:

Student A- $\displaystyle 80$

Explanation:

The median is the middle number of a set of data points.

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle.

Student A:

$45,65,65,70,75,75,80,{\color{DarkOrange} 80},80,80,85,85,85,90,100$ $\displaystyle 45,65,65,70,75,75,80,{\color{DarkOrange} 80},80,80,85,85,85,90,100$

Student B:

$40,50,60,65,65,65,70,{\color{DarkOrange} 70},75,75,75,75,80,85,85$ $\displaystyle 40,50,60,65,65,65,70,{\color{DarkOrange} 70},75,75,75,75,80,85,85$

Student A has the higher median score, $\displaystyle 80$

Report an Error

Example Question #3 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score?

Possible Answers:

Student A- $\displaystyle 70$

Student B- $\displaystyle 65$

Student B- $\displaystyle 90$

Student A- $\displaystyle 80$

Correct answer:

Student A- $\displaystyle 80$

Explanation:

The median is the middle number of a set of data points.

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle.

Student A:

$55,65,65,70,75,75,80,{\color{DarkOrange} 80},85,85,85,90,95,95,100$ $\displaystyle 55,65,65,70,75,75,80,{\color{DarkOrange} 80},85,85,85,90,95,95,100$

Student B:

$50,50,55,55,65,65,70,{\color{DarkOrange} 70},75,75,80,85,90,90,100$ $\displaystyle 50,50,55,55,65,65,70,{\color{DarkOrange} 70},75,75,80,85,90,90,100$

Student A has the higher median score, $\displaystyle 80$

Report an Error

Example Question #41 : Statistics & Probability

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score?

Possible Answers:

Student A- $\displaystyle 90$

Student A- $\displaystyle 85$

Student B- $\displaystyle 85$

Student B- $\displaystyle 90$

Correct answer:

Student A- $\displaystyle 90$

Explanation:

The median is the middle number of a set of data points.

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle.

Student A:

$70,80,80,85,85,85,90,{\color{DarkOrange} 90},90,95,95,100,100,100,100$ $\displaystyle 70,80,80,85,85,85,90,{\color{DarkOrange} 90},90,95,95,100,100,100,100$

Student B:

$65,70,70,75,80,80,85,{\color{DarkOrange} 85},85,90,90,90,90,100,100$ $\displaystyle 65,70,70,75,80,80,85,{\color{DarkOrange} 85},85,90,90,90,90,100,100$

Student A has the higher median score, $\displaystyle 90$

Report an Error

Example Question #42 : Statistics & Probability

A teacher is comparing two students' median test scores, as show in the dot plots below. Which student had a higher median score, and what was this student's median score?

Possible Answers:

Student A- $\displaystyle 95$

Student B- $\displaystyle 80$

Student A- $\displaystyle 85$

Student B- $\displaystyle 90$

Correct answer:

Student B- $\displaystyle 90$

Explanation:

The median is the middle number of a set of data points.

To solve for the median, we list our data points in order from least to greatest, and then find the number in the middle.

Student A:

$55,55,75,75,75,80,85,{\color{DarkOrange} 85},90,90,90,95,95,100,100$ $\displaystyle 55,55,75,75,75,80,85,{\color{DarkOrange} 85},90,90,90,95,95,100,100$

Student B:

$70,80,85,85,85,85,90,{\color{DarkOrange} 90},90,90,90,95,95,100,100$ $\displaystyle 70,80,85,85,85,85,90,{\color{DarkOrange} 90},90,90,90,95,95,100,100$

Student B has the higher median score, $\displaystyle 90$

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Common Core: 7th Grade Math : Use Measure of Center and Measure of Variability to Compare Populations: CCSS.Math.Content.7.SP.B.4

Study concepts, example questions & explanations for Common Core: 7th Grade Math

All Common Core: 7th Grade Math Resources

Example Questions

Example Question #731 : Grade 7

Example Question #1 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Example Question #1 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Example Question #2 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Example Question #744 : Grade 7

Example Question #745 : Grade 7

Example Question #746 : Grade 7

Example Question #3 : Use Measure Of Center And Measure Of Variability To Compare Populations: Ccss.Math.Content.7.Sp.B.4

Example Question #41 : Statistics & Probability

Example Question #42 : Statistics & Probability

All Common Core: 7th Grade Math Resources

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