How to find range - ISEE Middle Level Quantitative Reasoning

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Question

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 $\left{ 80, 90, 100, 110, 120 \right }$

Answer

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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Question

Set is defined as:

Set is made by doubling the values in set .

What is the range of values in set ?

Answer

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:

Largest:

Therefore, the range is:

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Question

The members of set are defined as the values for:

For values of between and .

What is the range of set ?

Answer

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 , 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 and the largest will be

Smallest:

Largest:

Therefore, the range is:

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Question

Set is defined as:

The members of set are defined by the function:

, where is a member of set .

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

What is the range of set ?

Answer

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

Our largest value is , and our smallest value is ; therefore, the range is

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Question

Given the below set of numbers find the range:

Answer

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:

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

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Question

Given the below set of numbers, find the range:

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

Answer

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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Question

Find the range of the data set provided:

Answer

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:

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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Question

Find the range of the data set provided:

Answer

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:

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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Question

Find the range of the data set provided:

Answer

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:

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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Question

Find the range of the data set provided:

Answer

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:

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

$\frac{\begin{array}[b]{r}9\ -\ 1\end{array}}{ \ \ \ \space 8}$

The range for this data set is

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Question

Given the below set of numbers, find the range:

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

Answer

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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Question

On the last day of school,Adam asked each of his classmates how many days of school they missed for the entire school year. He created a stem-and-leaf plot with the information.

0 | 0 0 2 4 5 6 8

1 | 0 0 1 2

2 | 3

4 | 7

What is the range of the number of days missed by Adam's classmates?

Answer

To find the range of a set of data, simply subtract the smallest total from the largest total. The left side of a stem-and-leaf plot represents the ten's digit, and the right side represents the one's digit. The largest value here is 47. The smallest value is 0.

$\dpi{100} 47-0=47$

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Question

Find the range in this set of numbers:

640, 782, 411, 398, 299, 344

Answer

First, order the numbers from least to greatest:

Then, find the difference between the largest and smallest number:

Answer: The range is 483.

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Question

Find the range in this set of numbers:

4520, 7325, 8732, 8321, 9031, 3117, 6960

Answer

First order the numbers from least to greatest:

Then find the difference of the greatest and the smallest number:

Answer: The range is 5914.

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Question

Find the range in this set of numbers:

Answer

First, order the numbers in the set from least to greatest:

Then, find the difference btween the largest and smallest numbers:

Answer: The range is 460.

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Question

Find the range in this set of numbers:

6059, 6609, 6906, 6509, 6905, 6960, 6950

Answer

First, order the numbers in the set from least to greatest:

Then, find the difference between the largest and the smallest number:

Answer: The range is 901.

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Question

Find the range of this set of numbers:

Answer

First, order the numbers in the set from least to greatest:

Then, find the difference between the largest and the smallest numbers in the set:

Therefore, the range is

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Question

Find the range in this set of numbers:

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

Answer

First, order the numbers from least to greatest:

Then, find the difference between the largest and the smallest number:

Answer: The range is 1100.

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Question

Find the range in this set of numbers:

9881, 9889, 9818, 9981, 9891, 9918, 9989, 9889, 9198

Answer

First, order the numbers from least to greatest:

Then, find the difference of the largest and smallest number:

Answer: The range is 791.

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Question

Find the difference between the mode and the range in this set of numbers:

9881, 9981, 9818, 9981, 9891, 9918, 9989, 9889, 9198

Answer

First, order the numbers from least to greatest:

Then, identify the mode (the most recurring number in the set):

Then, find the range (difference of the largest and smallest number):

Finally, find the difference between the mode and the range in this set:

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