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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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Example Questions

Example Question #361 : Data Analysis And Probability

Use the following data set to answer the question:

5, 14, 7, 6, 11, 5, 7, 12, 8, 5, 9, 7

Find the mean.

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of numbers within set}}{\text{number of numbers within set}}$

Now, given the set

5, 14, 7, 6, 11, 5, 7, 12, 8, 5, 9, 7

we can calculate:

$\text{sum of numbers within set} = 5+14+7+6+11+5+7+12+8+5+9+7$

$\text{sum of numbers within set} = 96$

We can also calculate:

$\text{number of numbers within set} = 12$

because if we were to count the numbers in the set, we would count 12.

So, we get

$\text{mean} = \frac{96}{12}$

$\text{mean} = 8$

Therefore, the mean of the data set is 8.

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Example Question #361 : Data Analysis And Probability

Find the mean of the numbers: [6,9,0,5,10]

Possible Answers:

Correct answer:

Explanation:

The mean is the average of all the numbers given.

Sum all the numbers and divide by the total by five.

$\frac{6+9+0+5+10}{5} = \frac{30}{5} = 6$

The answer is:

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Example Question #362 : Data Analysis And Probability

Find the mean of the following numbers:

30, 32, 36, 38, 42, 32, 30, 40

Possible Answers:

Correct answer:

Explanation:

When we find them mean, we are finding the average of the number set.

The first step is to find the sum of all the numbers by adding them.

This gives us 280.

Then we divide this by the total amount of numbers in the number set, which is 8.

$\small 280/8=35$ .

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Example Question #363 : Data Analysis And Probability

Find the mean of the following number set:

$\small \small \small 4, 6, 8, 5, 3, 7, 9$

Possible Answers:

Correct answer:

Explanation:

To find the mean, we are finding the average of the number set.

So we first add all of the numbers, which gives us 42.

Then we divide 42 by the amount of numbers in the number set which is 7, so

$\small 42/7=6$ .

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Example Question #364 : Data Analysis And Probability

Find the mean of the following number set:

$\small 10,20,10,25,35,65,80$

Possible Answers:

$\small 25$

$\small 35$

$\small 10$

$\small 5$

$\small 30$

Correct answer:

$\small 35$

Explanation:

When we find the mean, we are finding the average of the number set, so we add all the numbers together which gives us 245.

Because there are 7 numbers we divide 245 by 7 and are left with the mean, 35.

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Example Question #32 : Data Analysis

Find the mean in this set of numbers:

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

Possible Answers:

4120

5226

2440

5213

Correct answer:

5213

Explanation:

First, add all the numbers in this set:

5570+4886+5226+4120+6561+4120+6008=36491

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

$36491\div 7=5213$

Answer: The mean is 5213.

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Example Question #365 : Data Analysis And Probability

Find the mean of the following data set:

4, 2, 6, 2, 7, 9, 9, 2, 4

Possible Answers:

Correct answer:

Explanation:

To find the mean of a data set, we will use the following formula:

$\text{mean} = \frac{\text{sum of the numbers in the data set}}{\text{number of numbers in the data set}}$

So, given the data set

4, 2, 6, 2, 7, 9, 9, 2, 4

we will first find the sum. To find the sum, we will add the numbers together. So,

$\text{sum of the numbers in the data set} = 4+2+6+2+7+9+9+2+4$

$\text{sum of the numbers in the data set} = 45$

Now, we will find the number of numbers within the set. To do this, we will simply count and see how many numbers are in the set. So,

$\text{number of numbers in the data set} = 9$

Now, we will use this and substitute into the formula. We get

$\text{mean} = \frac{45}{9}$

$\text{mean} = 5$

Therefore, the mean of the data set is .

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Example Question #27 : Data Analysis

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

Possible Answers:

$\$612.00$

$\$689.00$

$\$549.00$

Correct answer:

$\$612.00$

Explanation:

First, add all the prices:

549+689+481+729=2448

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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Example Question #1 : How To Find The Missing Part Of A List

What are the next two numbers of this sequence?

10, 14, 19, 23, 28, 32, 37...

Possible Answers:

42, 46

42, 47

41, 46

41, 47

41, 45

Correct answer:

41, 46

Explanation:

The sequence is formed by alternately adding and adding to each term to get the next term.

$\begin{matrix} 10 + 4 = 14\\ 14 + 5 = 19\\ 19+4= 23\\ 23+5=28\\ 28+4 = 32\\ 32+5=37\\ 37+4=41\\ 41+5=46 \end{matrix}$

and are the next two numbers.

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Example Question #2 : How To Find The Missing Part Of A List

Define two sets as follows:

$A = \left \{ a, c, d, e, f, h, j, l, p \right \}$

$B = \left \{ c, e, f, h, j, o, p, s, z \right \}$

Which of the following is a subset of $A \cap B$ ?

Possible Answers:

Each of the sets listed is a subset of $A \cap B$ .

$\left \{ h,c,e,p\right \}$

$\varnothing$

$\left \{ f\right \}$

$\left \{ c,e,f,h,j,p\right \}$

Correct answer:

Each of the sets listed is a subset of $A \cap B$ .

Explanation:

We demonstrate that all of the choices are subsets of $A \cap B$ .

$A \cap B$ is the intersection of and - that is, the set of all elements of both sets. Therefore,

$A \cap B = \left \{ c,e,f,h,j,p\right \}$

$\left \{ c,e,f,h,j,p\right \}$ itself is one of the choices; it is a subset of itself. The empty set $\varnothing$ is a subset of every set. The other two sets listed comprise only elements from $A \cap B$ , making them subsets of $A \cap B$ .

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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 #361 : Data Analysis And Probability

Example Question #361 : Data Analysis And Probability

Example Question #362 : Data Analysis And Probability

Example Question #363 : Data Analysis And Probability

Example Question #364 : Data Analysis And Probability

Example Question #32 : Data Analysis

Example Question #365 : Data Analysis And Probability

Example Question #27 : Data Analysis

Example Question #1 : How To Find The Missing Part Of A List

Example Question #2 : How To Find The Missing Part Of A List

All ISEE Middle Level Math Resources

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