How to find range - ISEE Upper Level Mathematics Achievement

Card 0 of 20

Question

For tonight’s class reading, Erin was assigned to read Chapter 6, which begins on page 60 and ends on page 83. How many pages must Erin read tonight?

Answer

Erin will start reading on page 60 and will stop reading on page 83.

If you subtract these two numbers, you will get the number of pages between 60 and 83:

-

However, this subtraction does not include the first page read - page 60. Consider a similar, more simpler case: reading from pages 1 to 3. There are three pages read there: 1, 2, and 3. If you subtract, you get an answer of 2, which leaves you one page short of what you actually read.

So when you subtract 60 from 83, it gives you the pages between those two markers. You need to add on one more page to get your total page count - that is, to include page 60.

Therefore, Erin will read 24 pages.

Compare your answer with the correct one above

Question

What is the range of the following series of numbers?

Answer

Reorder the numbers from smallest to largest:

7, 14, 19, 22, 30, 31, 47

The range is the difference between the largest and smallest values:

Compare your answer with the correct one above

Question

Consider the following set of scores from a math test. Give the range of the data.

$\left { 88,72,61,84,77,79,93 \right }$

Answer

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we get:

Compare your answer with the correct one above

Question

In the following set of data, has the smallest value. If the range of the data values is , give .

$\begin{matrix} Data \ Value & Frequency \ 41 & 7\ 33& 3\35& 4\x& 1 \end{matrix}$

Answer

The range is a measure of spread. It is the difference between the largest and the smallest data values. So we can write:

$41-x=26\Rightarrow x=15$

Compare your answer with the correct one above

Question

What is the range of the following set of numbers?

Answer

To determine the range, first order the numbers in order from least to greatest. Then, find the difference between the greatest number and the least number:

Thus, the range is 172.

Compare your answer with the correct one above

Question

Examine this stem-and-leaf display for a set of data:

$\left.\begin{matrix} 4\ 5\ 6\ 7\ 8 \end{matrix}\right|\begin{matrix} \textrm{7 9}; ; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; ; ; ; ; ; ;\ \textrm{4 4 7 7}; ; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; \ \textrm{0 1 2 2 4 5 5 8 8 9}\ \textrm{3 5 5 8}; ; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; \ \textrm{4 7}; ; ; ; ; ; ; ; ; ; ;; ; ; ; ; ; ; ; ; ; ; ; ; \end{matrix}$

What is the midrange of this data set?

Answer

The "stem" of this data set represents the tens digits of the data values; the "leaves" represent the units digits.

The midrange of a data set is the arithmetic mean of its greatest and least values, which, in this case, are 47 and 87. Their arithmetic mean is $\left (47 + 87 \right )\div 2 = 67$ , the midrange.

Compare your answer with the correct one above

Question

What is the range of the following 5 numbers?

Answer

The range of a set is determined by subtracting the smallest number from the largest number:

Compare your answer with the correct one above

Question

Find the range of the following data set:

Answer

Find the range of the following data set:

Begin by putting your numbers in increasing order:

Next, find the range by subtracting our first number from our last number:

So our answer is 331

Compare your answer with the correct one above

Question

Find the range of the following data set:

Answer

Find the range of the following data set:

Let's begin by rearranging our terms from least to greatest:

Now, find the difference between our largest and smallest terms:

So, our answer is 104

Compare your answer with the correct one above

Question

Find the range of the following data set:

Answer

Find the range of the following data set:

First, let's put our terms in increasing order:

Next, our range will just be the difference between the greatest and least terms.

So our range is 87.

Compare your answer with the correct one above

Question

Find the range of the following data set:

Answer

Find the range of the following data set:

First, let's put our terms in ascending order.

Now, find the difference between our first and last terms.

So, our range is 82.

Compare your answer with the correct one above

Question

Use the following data set to answer the question:

Find the range.

Answer

To find the range of a data set, we will find the smallest and the largest number. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 2 and the largest number is 9. Now, we will find the difference. To find the difference, we will simply subtract the two numbers. So,

Therefore, the range of the data set is 7.

Compare your answer with the correct one above

Question

Use the following data set to answer the question:

Find the range.

Answer

To find the range of a data set, we will find the smallest and the largest number within the set, then we will find the difference.

So, given the set

we can see the smallest number is 1 and the largest number is 10. Now, we will find the difference. To find the difference, we will subtract the two numbers. So, we get

Therefore, the range of the data set is 9.

Compare your answer with the correct one above

Question

For his last six math tests, Josh scored 92, 80, 88, 94, 97, and 95. What is the range for his test scores?

Answer

In order to find the range, you will need to first find the smallest and largest number in the set.

For this set of numbers, the smallest number is , and the largest number is .

To find the range, take the difference of these two numbers:

$\text{Range}=97-80=17$

Compare your answer with the correct one above

Question

Michael received the following scores on his last four French tests: 65, 58, 69, 58. What is the range of his test scores?

Answer

In order to find the range, you must first identify the smallest and the largest number of the data set.

The smallest number for this set is , and the largest number is .

Take the difference of the two numbers to find the range.

$\text{Range}=69-58=11$

Compare your answer with the correct one above

Question

Over the course of seven games, Joanna scored the following number of points for her high school's varsity basketball team:

.

What is the range of the number of points she scored?

Answer

In order to find the range, you must first identify the smallest and the largest number of the set.

The smallest number of the set is , while the largest number is .

Take the difference between these two to find the range.

$\text{Range}=20-8=12$

Compare your answer with the correct one above

Question

Use the following data set to answer the question:

Find the range.

Answer

To find the range of a data set, we will find the smallest and the largest number. Then, we will find the difference of those two number.

So, given the set

we can see the smallest number is 5 and the largest number is 17.

Now, we will find the difference. To find the difference, we will subtract the two number. We get

Therefore, the range of the data set is 12.

Compare your answer with the correct one above

Question

Find the range of the following data set:

Answer

Find the range of the following data set:

To find the range, first put the numbers in increasing order

Next, find the difference between our first and last terms

Thus, our range is 87 because there is a "distance" of 87 between our biggest and smallest terms.

Compare your answer with the correct one above

Question

Use the following data set to answer the question:

Find the range.

Answer

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 3 and the largest number is 9. Now, we will find the difference.

Therefore, the range of the data set is 6.

Compare your answer with the correct one above

Question

Use the following data set to answer the question:

Find the range.

Answer

To find the range of a data set, we will find the smallest number and the largest number. Then, we will find the difference of those two numbers.

So, given the set

we can see the smallest number is 2 and the largest number is 9. Now, we will find the difference.

Therefore, the range of the data set is 7.

Compare your answer with the correct one above

Tap the card to reveal the answer