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ISEE Middle Level Quantitative : How to find range

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

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Example Questions

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Example Question #1 : How To Find Range

Which is the greater quantity?

(A) The midrange of the data set $\left\{ 1, 10, 100, 1000, 10000 \right \}$

(B) The midrange of the data set $\left\{ 80, 90, 100, 110, 120 \right \}$

Possible Answers:

(A) and (B) are equal

It is impossible to determine which is greater from the information given

(B) is greater

(A) is greater

Correct answer:

(A) is greater

Explanation:

The midrange of a data set is the mean of its least and greatest elements. The midrange of the first data set is $\left (10,000 + 1 \right ) \div 2 = 5,000.5$ ; that of the second data set is $(80 + 120) \div 2 = 100$ . (A) is greater.

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Example Question #1 : Data Analysis

Set is defined as:

6,13,4,10,4,1

Set is made by doubling the values in set .

What is the range of values in set ?

Possible Answers:

9.5

Correct answer:

Explanation:

To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way of constructing set by doubling set 's values, the largest and smallest values in will directly correlate to the same in set :

Smallest: 1 => 2

Largest: 13=>26

Therefore, the range is: 26-2=24

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Example Question #1 : Data Analysis

The members of set are defined as the values for:

f(x)=x^2+3

For values of between and .

What is the range of set ?

Possible Answers:

170

172

169

Correct answer:

169

Explanation:

To find the range of a set of numbers, you do not even have to put them in order. You merely need to subtract the smallest value from the largest. Given the way that we construct set from the function f(x) , we merely need to use that function to find the smallest and largest values. Luckily, that is pretty easy for this question. The smallest will be f(0) and the largest will be f(13)

Smallest: f(0) = 0^2 + 3 = 3

Largest: f(13) = 13^2 + 3 = 172

Therefore, the range is: 172 - 3 = 169

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Example Question #1 : How To Find Range

Set is defined as:

13,-1,4,1,-9,10

The members of set are defined by the function:

f(x) = x^2 - 3x , where is a member of set .

So, for instance, set T contains 130 because for , we get:

f(13)=13^2-3*13=169-39=130

What is the range of set ?

Possible Answers:

128

132

Correct answer:

132

Explanation:

We first need to determine the members of set . Using our function, we will get:

f(13) = 130

f(-1) = (-1)^2-3(-1)=1+3=4

f(4) = (4)^2-3(4)=16-12=4

f(1) = (1)^2-3(1)=1-3=-2

f(-9) = (-9)^2-3(-9)=81+27=108

f(10) = (10)^2-3(10)=100-30=70

Our largest value is 130 , and our smallest value is ; therefore, the range is 130-(-2)= 130+2=132

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Example Question #1 : Range

Given the below set of numbers find the range:

4, 8, 9, 7, 12, 15, -2, 3, 0, 10

Possible Answers:

Correct answer:

Explanation:

Range for a set of data is defined as the difference between the biggest and smallest number.

First we find the biggest number which is 15, we then subtract the smallest number in this set which is negative 2 as shown below:

15-(-2) = 15 + 2 = 17

Remember, when subtracting a negative number we must add the numbers.

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Example Question #6 : How To Find Range

Given the below set of numbers, find the range:

$\frac{4}{5}, \ \frac{5}{8},\ \frac{1}{3},\ \frac{1}{10}$

Possible Answers:

$\frac{3}{10}$

$\frac{1}{5}$

$\frac{7}{10}$

$\frac{3}{5}$

Correct answer:

$\frac{7}{10}$

Explanation:

In order to find the range, we must subtract the smallest number from the biggest number.

$Biggest\ Number = \frac{4}{5}$

$Smallest\ Number = \frac{1}{10}$

$\frac{4}{5}-\frac{1}{10}$

We must convert the fractions to have a common denominator which is 10.

$\frac{8}{10}-\frac{1}{10}=\frac{7}{10}$

Therefore, the range of this set is

$\frac{7}{10}$ .

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Example Question #7 : How To Find Range

Given the below set of numbers, find the range:

$\frac{4}{5}, \ \frac{5}{8},\ \frac{1}{3},\ \frac{1}{10}$

Possible Answers:

$\frac{1}{5}$

$\frac{3}{10}$

$\frac{3}{5}$

$\frac{7}{10}$

$\frac{1}{3}$

Correct answer:

$\frac{7}{10}$

Explanation:

In order to find the range, we must subtract the smallest number from the biggest number.

$Biggest\ Number = \frac{4}{5}$

$Smallest\ Number = \frac{1}{10}$

$\frac{4}{5}-\frac{1}{10}$

We must convert the fractions to have a common denominator which is 10.

$\frac{8}{10}-\frac{1}{10}=\frac{7}{10}$

Therefore, the range of this set is

$\frac{7}{10}$ .

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Example Question #9 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 8.55.18 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

26,26,26,27,28,28,28,29,30,30,30,31,32,33,34,34,34,34,35,36

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}36\\ -\ 26\end{array}}{ \ \ \ \space 10}$

The range for this data set is

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Example Question #10 : Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 9.44.17 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

11,11,13,14,14,14,14,15,18,19,20,20,21,22,27

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}27\\ -\ 11\end{array}}{ \ \ \ \space 16}$

The range for this data set is

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Example Question #8 : How To Find Range

Find the range of the data set provided:

Screen shot 2016 04 05 at 10.03.05 am

Possible Answers:

Correct answer:

Explanation:

In order to answer this question correctly, we need to recall the definition of range:

Range: The range of a data set is the difference between the highest value and the lowest value in the set.

In order to find the range, we need to first organize the data from least to greatest to find the lowest and highest values:

1,2,3,3,4,4,4,4,5,7,8,9,10,10,11

Next, we can solve for the difference between the highest value and the lowest value:

$\frac{\begin{array}[b]{r}11\\ -\ 1\end{array}}{ \ \ \ \space 10}$

The range for this data set is

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ISEE Middle Level Quantitative : How to find range

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

All ISEE Middle Level Quantitative Resources

Example Questions

Example Question #1 : How To Find Range

Example Question #1 : Data Analysis

Example Question #1 : Data Analysis

Example Question #1 : How To Find Range

Example Question #1 : Range

Example Question #6 : How To Find Range

Example Question #7 : How To Find Range

Example Question #9 : Find Range

Example Question #10 : Find Range

Example Question #8 : How To Find Range

All ISEE Middle Level Quantitative Resources

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