ISEE Middle Level Math : Range

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

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : How To Find Range

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?

Possible Answers:

\dpi{100} 0\(\displaystyle \dpi{100} 0\)

\dpi{100} 7\(\displaystyle \dpi{100} 7\)

\dpi{100} 47\(\displaystyle \dpi{100} 47\)

\dpi{100} 8\(\displaystyle \dpi{100} 8\)

Correct answer:

\dpi{100} 47\(\displaystyle \dpi{100} 47\)

Explanation:

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\(\displaystyle \dpi{100} 47-0=47\)

Example Question #2 : How To Find Range

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 5914\)

\(\displaystyle 6858\)

\(\displaystyle 7325\)

\(\displaystyle 6000\)

Correct answer:

\(\displaystyle 5914\)

Explanation:

First order the numbers from least to greatest:

\(\displaystyle 3117, 4520, 6960, 7325, 8321, 8732, 9031\)

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

\(\displaystyle 9031-3117=5914\)

 

Answer: The range is 5914.

Example Question #1 : Range

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 6905\)

\(\displaystyle 901\)

\(\displaystyle 6699\)

\(\displaystyle 6906\)

\(\displaystyle 991\)

Correct answer:

\(\displaystyle 901\)

Explanation:

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

\(\displaystyle 6059, 6509, 6609, 6905, 6906, 6950, 6960\)

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

\(\displaystyle 6960-6059=901\)

Answer: The range is 901.

Example Question #3 : How To Find Range

Find the range in this set of numbers:

640, 782, 411, 398, 299, 344

Possible Answers:

\(\displaystyle 411\)

\(\displaystyle 398\)

\(\displaystyle 483\)

\(\displaystyle 479\)

Correct answer:

\(\displaystyle 483\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 299, 344, 398, 411, 640, 782\)

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

\(\displaystyle 782-299=483\)

 

Answer: The range is 483.

Example Question #4 : How To Find Range

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 790\)

\(\displaystyle 800\)

\(\displaystyle 791\)

Correct answer:

\(\displaystyle 791\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 9198, 9818, 9881, 9889, 9889, 9891, 9918, 9981, 9989\)

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

\(\displaystyle 9989-9198=791\)

Answer: The range is 791.

Example Question #1 : Range

Find the range in this set of numbers:

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

Possible Answers:

\(\displaystyle 1090\)

\(\displaystyle 1110\)

\(\displaystyle 1000\)

\(\displaystyle 1100\)

Correct answer:

\(\displaystyle 1100\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 3334, 3343, 3343, 3434, 4334, 4343, 4434\)

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

\(\displaystyle 4434-3334=1100\)

Answer: The range is 1100.

Example Question #2 : Range

Subtract the range from the mode in this set of numbers:

\(\displaystyle 6366,6336, 6366,6633,6333,6363,6669\)

Possible Answers:

\(\displaystyle 6303\)

\(\displaystyle 6300\)

\(\displaystyle 6030\)

\(\displaystyle 6006\)

Correct answer:

\(\displaystyle 6030\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 6333,6336,6363,6366,6366,6633,6669\)

Then, identify the mode (most recurring number): 6366

Then, identify the range (subtract the smallest number from the largest):

\(\displaystyle 6669-6333=336\)

Finally, subtract the range from the mode:

\(\displaystyle 6366-336=6030\)

Answer: 330

Example Question #6 : How To Find Range

Find the range for this set of numbers:

6363, 6336, 6366, 6633, 6333, 6363, 6663

Possible Answers:

\(\displaystyle 330\)

\(\displaystyle 300\)

\(\displaystyle 333\)

\(\displaystyle 303\)

Correct answer:

\(\displaystyle 330\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 6333, 6336,6363,6363, 6366, 6633, 6663\)

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

\(\displaystyle 6663-6333=330\)

Answer: The range is 330.

Example Question #313 : Isee Middle Level (Grades 7 8) Mathematics Achievement

Find the range in this set of numbers:

9080, 9008, 9800, 9099, 9009, 9090, 9008

Possible Answers:

\(\displaystyle 800\)

\(\displaystyle 790\)

\(\displaystyle 792\)

\(\displaystyle 9080\)

Correct answer:

\(\displaystyle 792\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 9008, 9008, 9009, 9080, 9090, 9099, 9800\)

The, subtract the smallest number from the greatest:

\(\displaystyle 9800-9008=792\)

Answer: The range is 792.

Example Question #1 : How To Find Range

Find the range in this set of numbers:

\(\displaystyle 6776, 6677,6767, 6676, 6766, 6777,6677\)

Possible Answers:

\(\displaystyle 101\)

\(\displaystyle 111\)

\(\displaystyle 100\)

\(\displaystyle 99\)

Correct answer:

\(\displaystyle 101\)

Explanation:

First, order the numbers from least to greatest:

\(\displaystyle 6676, 6677, 6677, 6766, 6767, 6776, 6777\)

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

\(\displaystyle 6777-6676=101\)

Answer: The range is 101.

Learning Tools by Varsity Tutors