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ISEE Middle Level Math : Data Analysis and Probability

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #551 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Determine the mode of the numbers: [-1,-1,-2,3,4,5,5,-6]

Possible Answers:

$\frac{7}{8}$

-1,5

-6,-2,3,4

Correct answer:

-1,5

Explanation:

The mode includes all numbers that have the highest frequency.

The numbers that occur more than once are: -1,5

All of the other numbers occur only once.

The answer is: -1,5

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Example Question #121 : Mode

What is the mode in this number set?

$\small 4, 3, 5, 6, 6, 7, 4, 2, 1, 4, 6, 3 ,4 ,10, 4$

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears most often in the number set.

In this number set, there are five 4's, making 4 the mode.

${\color{Red} 4,} 3, 5, 6, 6, 7, {\color{Red} 4}, 2, 1, {\color{Red} 4}, 6, 3 ,{\color{Red} 4} ,10, {\color{Red} 4}$

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Example Question #1 : How To Find 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%

95%

90%

82%

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.

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

330+x=85*5=425

x=425-330=95

x=95

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Example Question #1 : Find Mean

Give the mean of the following data set:

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

Possible Answers:

5.375

5.5

5.0625

Correct answer:

5.0625

Explanation:

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

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

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Example Question #1 : Find Mean

Find the average of this set of numbers:

521, 834, 754, 902, 899

Possible Answers:

782

600

754

378

Correct answer:

782

Explanation:

First, add all the numbers in this set:

521+834+754+902+899=3910

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

$3910\div 5=782$

Answer: The average is 782.

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Example Question #561 : Isee Middle Level (Grades 7 8) Mathematics Achievement

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

Possible Answers:

$\$127.00$

$\$130.00$

$\$131.00$

$\$132.00$

$\$130.50$

Correct answer:

$\$130.50$

Explanation:

First, add up all of the dress prices:

129+134+127+132=522

Then, divide by the number of dresses:

$522 \div 4=130.50$

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

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Example Question #1 : How To Find Mean

Find the average of this set of numbers:

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

Possible Answers:

2525

2552

2529

Correct answer:

2529

Explanation:

First, add all the numbers in this set:

2521+ 2512+2525+2552+2551+2525+2517=17703

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

$17703\div 7=2529$

Answer: The average is 2529.

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Example Question #1 : How To 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:

$\$10.11$

$\$3.39$

$\$3.30$

$\$3.37$

Correct answer:

$\$3.37$

Explanation:

First, add all of the prices:

3.21+3.39+3.51=10.11

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

$10.11\div 3=3.37$

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

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Example Question #2 : How To 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:

$\$3.79$

$\$3.62$

$\$10.86$

$\$3.60$

$\$3.47$

Correct answer:

$\$3.62$

Explanation:

First, add all of the prices:

3.47+3.79+3.60=10.88

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 $\$3.62.$

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Example Question #1 : Mean

Find the mean in this set of numbers:

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

Possible Answers:

3343

3334

3795

1100

Correct answer:

3795

Explanation:

First, add all the numbers in this set:

3343+4434+4334+3343+4343+3434+3334=26565

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

$26565 \div 7=3795$

Answer: The mean is 3795

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Data Analysis and Probability

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #551 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #121 : Mode

Example Question #1 : How To Find Mean

Example Question #1 : Find Mean

Example Question #1 : Find Mean

Example Question #561 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Example Question #1 : How To Find Mean

Example Question #1 : How To Find Mean

Example Question #2 : How To Find Mean

Example Question #1 : Mean

All ISEE Middle Level Math Resources

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