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ISEE Middle Level Math : Mean

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Example Questions

Example Question #1 : Mean

On the first four exams, Charley scored 92, 88, 76, and 74. Charley wants to have a test average of 85%. What must Charley score on the fifth exam to average 85%?

Possible Answers:

100%

82%

95%

90%

85%

Correct answer:

95%

Explanation:

The summation of the first four exams equals 330. Using the equation for average, Charley needs to get a 95 on the last exam.

$\frac{330+x}{5}=85$ $\displaystyle \frac{330+x}{5}=85$

$\displaystyle 330+x=85*5=425$

$\displaystyle x=425-330=95$

x=95 $\displaystyle x=95$

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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 data set:

$\left \{1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 10 \right \}$ $\displaystyle \left \{1, 2, 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 9, 10 \right \}$

Possible Answers:

5.375 $\displaystyle 5.375$

5.0625 $\displaystyle 5.0625$

$\displaystyle 6$

5.5 $\displaystyle 5.5$

$\displaystyle 5$

Correct answer:

5.0625 $\displaystyle 5.0625$

Explanation:

Since there are 16 elements, divide their sum by 16 to get the mean:

$(1+ 2+ 3+ 3+ 4+ 4+ 4+ 5+ 5+ 6+ 6+ 6+ 6+ 7+ 9+ 10) \div 16 = 81 \div 16 = 5.0625$ $\displaystyle (1+ 2+ 3+ 3+ 4+ 4+ 4+ 5+ 5+ 6+ 6+ 6+ 6+ 7+ 9+ 10) \div 16 = 81 \div 16 = 5.0625$

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Example Question #11 : Data Analysis

Find the average of this set of numbers:

521, 834, 754, 902, 899

Possible Answers:

600 $\displaystyle 600$

782 $\displaystyle 782$

378 $\displaystyle 378$

754 $\displaystyle 754$

Correct answer:

782 $\displaystyle 782$

Explanation:

First, add all the numbers in this set:

$\displaystyle 521+834+754+902+899=3910$

Divide, 3910 by the total amount of numbers in the set:

$3910\div 5=782$ $\displaystyle 3910\div 5=782$

Answer: The average is 782.

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Example Question #1 : Mean

Adrienne is trying on dresses for prom. The dresses she likes each cost $\$129$ $\displaystyle \$129$, $\$134$ $\displaystyle \$134$, $\$127$ $\displaystyle \$127$ and $\$132$ $\displaystyle \$132$, respectively. What is the average dress price that Adrienne is considering?

Possible Answers:

$\$127.00$ $\displaystyle \$127.00$

$\$130.50$ $\displaystyle \$130.50$

$\$131.00$ $\displaystyle \$131.00$

$\$132.00$ $\displaystyle \$132.00$

$\$130.00$ $\displaystyle \$130.00$

Correct answer:

$\$130.50$ $\displaystyle \$130.50$

Explanation:

First, add up all of the dress prices:

$\displaystyle 129+134+127+132=522$

Then, divide by the number of dresses:

$522 \div 4=130.50$ $\displaystyle 522 \div 4=130.50$

Answer: The average dress price is $\$130.50$ $\displaystyle \$130.50$

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Example Question #12 : Data Analysis

Find the average of this set of numbers:

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

Possible Answers:

2525 $\displaystyle 2525$

2552 $\displaystyle 2552$

2529 $\displaystyle 2529$

$\displaystyle 40$

Correct answer:

2529 $\displaystyle 2529$

Explanation:

First, add all the numbers in this set:

$\displaystyle 2521+ 2512+2525+2552+2551+2525+2517=17703$

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

$17703\div 7=2529$ $\displaystyle 17703\div 7=2529$

Answer: The average is 2529. $\displaystyle 2529.$

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Example Question #11 : Find Mean

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:

$\$3.30$ $\displaystyle \$3.30$

$\$10.11$ $\displaystyle \$10.11$

$\$3.39$ $\displaystyle \$3.39$

$\$3.37$ $\displaystyle \$3.37$

Correct answer:

$\$3.37$ $\displaystyle \$3.37$

Explanation:

First, add all of the prices:

$\displaystyle 3.21+3.39+3.51=10.11$

Then divide, that amount by 3 (number of stores in town):

$10.11\div 3=3.37$ $\displaystyle 10.11\div 3=3.37$

Answer: The average price of a gallon of milk is $\$3.37.$ $\displaystyle \$3.37.$

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Example Question #12 : 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:

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

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

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

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

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

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 #21 : How To Find Mean

Find the mean in this set of numbers:

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

Possible Answers:

1100 $\displaystyle 1100$

3795 $\displaystyle 3795$

3343 $\displaystyle 3343$

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 #13 : Find Mean

Find the mean for this set of numbers:

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

Possible Answers:

6435 $\displaystyle 6435$

6430 $\displaystyle 6430$

6450 $\displaystyle 6450$

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 #1 : 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:

1200 $\displaystyle 1200$

4800 $\displaystyle 4800$

1600 $\displaystyle 1600$

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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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Mean

Study concepts, example questions & explanations for ISEE Middle Level Math

All ISEE Middle Level Math Resources

Example Questions

Example Question #1 : Mean

Example Question #4 : Find Measures Of Center, Variability, And Patterns In Data: Ccss.Math.Content.6.Sp.B.5c

Example Question #11 : Data Analysis

Example Question #1 : Mean

Example Question #12 : Data Analysis

Example Question #11 : Find Mean

Example Question #12 : Find Mean

Example Question #21 : How To Find Mean

Example Question #13 : Find Mean

Example Question #1 : Mean

All ISEE Middle Level Math Resources

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