How to find mean - SSAT Middle Level Quantitative

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Question

In a group of 4 books, the average number of pages is is 10. Juan adds a book with 20 pages to the group. What is the new average number of pages?

Answer

If the average of 4 books was 10, then the total number of pages was $4\times10 =40$ . Adding in the 20 new pages, but now dividing by 5 you get .

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Question

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%?

Answer

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

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

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Question

Give the mean of the data set (nearest tenth, if applicable):

$\left { 56,78,98,85,77,73 \right }$

Answer

Add the six elements and divide the sum by 6:

$467 \div 6 \approx 77.8$

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Question

Give the mean of the following data set:

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

Answer

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

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

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Question

Jason has taken five tests this quarter in school. What is his average if his grades for the five tests are 81, 78, 91, 88 and 93?

Answer

First add up all of the scores:

Then, divide that number by the total number of tests that Jason took:

$431\div 5=86.2$

Answer: Jason's average is 86.2

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Question

Olivia is considering buying a new car. She is looking at three different cars. The price for the three cars is , and , respectively. What is the average price of a car Olivia is considering?

Answer

First add up the prices of each of the cars:

Then divide that number by the total number of cars:

$24,381\div 3=8,127.00$

Answer: The average price of a car Olivia is considering is

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Question

Find the mean of this set of numbers:

Answer

First, add the three numbers:

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

$2520 \div 3=840$

The answer is

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Question

Britney is shopping for shorts. What is the average price of the shorts Britney is considering buying if their prices are $7.99, $10.99, $12.99 and $9.99?

Answer

First, add the the prices of the shorts:

Then, divide that amount by the total number of shorts:

$41.96\div 4=10.49$

The answer is .

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Question

Find the mean of this set of numbers:

54, 41, 99, 120, 66.

Answer

Firrst, add the numbers:

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

$380\div 5=76$

Answer: The mean is 76.

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Question

Find the mean of this set of numbers:

Answer

First add all the numbers; then, divide by the amount of numbers in the set:

$20956\div 4=5239$

Answer: The mean is .

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Question

Find the mean of this set of numbers:

Answer

First, add the numbers in the set:

Then divide by the amount of numbers in the set:

$2730\div 5=546$

Answer: The mean is .

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Question

Find the average of this set of numbers:

521, 834, 754, 902, 899

Answer

First, add all the numbers in this set:

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

$3910\div 5=782$

Answer: The average is 782.

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Question

Find the mean in this set of numbers:

5570, 4886, 5226, 4120, 6561, 4120, 6008

Answer

First, add all the numbers in this set:

Then, divide that amount by the total number in the set:

$36491\div 7=5213$

Answer: The mean is 5213.

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Question

Adrienne is trying on dresses for prom. The dresses she likes each cost , , and , respectively. What is the average dress price that Adrienne is considering?

Answer

First, add up all of the dress prices:

Then, divide by the number of dresses:

$522 \div 4=130.50$

Answer: The average dress price is

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Question

It rained 2 inches on Saturday, 4 inches on Sunday, 3, inches on Monday, and 3 inches on Tuesday. On average, how many inches did it rain each day?

Answer

Find the total inches of rain first:

Then, divide by the number of days:

$12\div 4=3$ .

Therefore, on average, it rained 3 inches a day.

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Question

Find the average of this set of numbers:

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

Answer

First, add all the numbers in this set:

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

$17703\div 7=2529$

Answer: The average is

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Question

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?

Answer

First, add all of the prices:

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

$10.11\div 3=3.37$

Answer: The average price of a gallon of milk is

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Question

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?

Answer

First, add all of the prices:

Then, divide by 3 (total number of stations)

$10.88\div 3=3.62$

Answer: The average price for a gallon of gas in my town is

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Question

Find the mean in this set of numbers:

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

Answer

First, add all the numbers in this set:

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

$26565 \div 7=3795$

Answer: The mean is 3795

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Question

While shopping for a couch, Mila found four she really liked. Each cost , , and . What is the average price of a couch Mila is considering?

Answer

First, add all the prices:

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

$2448 \div 4=612$

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

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