Range-Gr 6-Solved Examples

Solved Examples and Worksheet for Range

Q1A kennel can accommodate 12 dogs that weigh (in pounds) 6, 17, 28, 20, 25, 32, 44, 8, 38, 4, 13, and 15. Find the range of their weights.

A. 40 lb
B. 39 lb
C. 43 lb
D. 42 lb

Solutions

Step: 1

Range is the difference between the maximum and minimum values in a given data set.

Step: 2

The maximum weight in the data set is 44 lb and the minimum weight is 4 lb.

Step: 3

Range of the weights = 44 lb - 4 lb = 40 lb

[Subtract.]

Correct Answer is : 40 lb

Q2The stem and leaf plot represents the salaries (in thousands) of full-time teachers in a school. Find the range of the data.

A. $15,000
B. $12,000
C. $14,000
D. $20,000

Solutions

Step: 1

The highest salary is a combination of the highest stem and the corresponding highest leaf.

Step: 2

The least salary is a combination of the least stem and the corresponding least leaf.

Step: 3

In the plot, the highest salary is $71,000 and the least salary is $56,000.

Step: 4

Range = Highest value - Lowest value

= $71,000 - $56,000 = $15,000

[Substitute and subtract.]

Step: 5

So, the range of the data is $15,000.

Correct Answer is : $15,000

Q3Find the range of the data set.
5, 6, 4, 5, 8, 6, 5, 8, and 4

A. 5
B. 3
C. 6
D. 4

Solutions

Step: 1

Range of the data set is the difference between the maximum and minimum values of the data set.

Step: 2

The maximum value of the data set is 8 and the minimum value of the data set is 4.

Step: 3

So, range of the data set = 8 - 4 = 4.

Correct Answer is : 4

Q4The weights(in pounds) of 6 different boats are 1173, 1173, 1519, 827, 1519 and 1692. Find the range of the weights of boats.
A. 1173 pounds
B. 865 pounds
C. 827 pounds
D. None of the above

Solutions

Step: 1

Range of a given data set is the difference between the maximum and the minimum values.

Step: 2

The maximum weight of the boats from the data set is 1692 lbs.

Step: 3

The minimum weight of the boats from the data set is 827 lbs.

Step: 4

So, the range of the weights of the boats = maximum weight - minimum weight = 1692 - 827 = 865 pounds.

Correct Answer is : 865 pounds

Q5The prices of different sweets sold in a store are $9, $8, $9, $7, $16, $9, $24, $16, and $8. Find the range of prices of sweets.
A. $17
B. $16
C. $19
D. $18

Solutions

Step: 1

Range of the data set is the difference between the maximum and minimum data values of the data set.

Step: 2

The maximum price of sweets is $24 and the minimum price of sweets is $7.

Step: 3

So, the range of the prices of sweets = $24 - $7 = $17.

Correct Answer is : $17

Q6Paul's score in five tests are 25, 15, 26, 29, and 20. Find the range of scores.

A. 14
B. 9
C. 17
D. 16

Solutions

Step: 1

Range is the difference between the maximum and minimum data values of the data set.

Step: 2

The maximum score of Paul is 29 and the minimum score of Paul is 15.

Step: 3

So, the range of the scores = 29 - 15 = 14.

Correct Answer is : 14

Q7The heights (in inches) of 10 students in Mr. Sam's class are 61, 56, 60, 57, 62, 63, 63, 63, 58, and 73. Find the range of the heights of the students.

A. 17
B. 16
C. 19
D. 18

Solutions

Step: 1

Range of the data set is the difference between the maximum and minimum data values of the data set.

Step: 2

From the data set, the maximum height (in inches) of the students is 73 and the minimum height (in inches) of the students is 56.

Step: 3

So, the range of the heights (in inches) of 10 students = 73 - 56 = 17.

Correct Answer is : 17

Q8The population in a town during the last 4 decades is given in the table. Determine the range of the population in the town.

Year	Population
1960	67000
1970	84000
1980	104000
1990	137000

A. 71000
B. 70000
C. 69000
D. 72000

Solutions

Step: 1

Range is the difference between the maximum and minimum data values of the data set.

Step: 2

From the table, the maximum population in the town is 137000 and minimum population in the town is 67000.

Step: 3

So, the range of the population in the town = 137000 - 67000 = 70000.

Correct Answer is : 70000

Q9The scores of 10 students in Mr. Terry's class are 62, 57, 61, 58, 63, 64, 64, 64, 59 and 74. Find the range of the scores of the students.

A. 17
B. 19
C. 16
D. 18

Solutions

Step: 1

Range of the data set is the difference between the maximum and minimum data values of the data set.

Step: 2

From the data set, the maximum score of the students is 74 and the minimum score of the students is 57.

Step: 3

So, the range of the scores of the 10 students = 74 - 57 = 17

Correct Answer is : 17

Q10The number of lawyers of a town in the last 4 decades is given in the table. Determine the range of the number of lawyers in the town.

Year	Number of lawyers
1960	66000
1970	84000
1980	109000
1990	139000

A. 75000
B. 73000
C. 74000
D. 72000

Solutions

Step: 1

Range is the difference between the maximum and minimum data values in a data set.

Step: 2

From the table, the maximum number of lawyers in the town was 139000 and minimum number of lawyers in the town was 66000.

Step: 3

So, the range of the data = 139000 - 66000 = 73000

Correct Answer is : 73000

Q11The scores of 10 students in Mr. Anderson's class are 62, 57, 61, 58, 63, 64, 64, 64, 59 and 74. Find the range of the scores.

A. 17
B. 18
C. 19
D. 16

Solutions

Step: 1

Range of a data set is the difference between the maximum and minimum data values of the data set.

Step: 2

From the data set, the maximum score of the students is 74 and the minimum score of the students is 57.

Step: 3

So, the range of the scores of the 10 students = 74 - 57 = 17

Correct Answer is : 17

Q12The table shows the heights of the students in Mr. Jimmy's class. Find the range of the data.

Height (In inches)	57	58	59	60	61	62	63	64
No. of students	3	5	4	2	7	6	3	5

A. 5
B. 3
C. 62
D. 7

Solutions

Step: 1

Range is the difference between the maximum and minimum data values of the data set.

Step: 2

From the table, the ordered data set is 57, 57, 57, 58, 58, 58, 58, 58, 59, 59, 59, 59, 60, 60, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 63, 63, 63, 64, 64, 64, 64 and 64.

Step: 3

From the data set, the maximum data value is 64 and the minimum data value is 57.

Step: 4

So, the range of the data set = 64 - 57 = 7.

Correct Answer is : 7

Q13The table shows the average rainfall in a city during 5 months. Find the range of the data.

Month	rainfall (mm)
January	35
February	45
March	38
April	42
May	40

A. 10 mm
B. 12 mm
C. 8 mm
D. 15 mm

Solutions

Step: 1

Range is the difference between the maximum and minimum data values of the data set.

Step: 2

The data values in the ascending order are 35, 38, 40, 42 and 45.

Step: 3

The maximum rainfall is 45 mm and the minimum rainfall is 35 mm.

Step: 4

So, the range of the data = 45 - 35 = 10 mm

Correct Answer is : 10 mm

Q14The table shows the average monthly rainfall in a state in the last 5 months. Find the range of the data.

Month	rainfall (mm)
January	35
February	49
March	38
April	48
May	43

A. 14 mm
B. 12 mm
C. 16 mm
D. 19 mm

Solutions

Step: 1

Range is the difference between the maximum and minimum data values of the data set.

Step: 2

The temperatures in the ascending order are 35, 38, 43, 48 and 49.

Step: 3

The maximum rainfall is 49 mm and the minimum rainfall is 35 mm.

Step: 4

So, the range of the data = 49 - 35 = 14

Correct Answer is : 14 mm

Q15The line plot shows the test score of each student in Ms.Helen′s science class. Find the range of scores.

A. 50
B. 70
C. 20
D. 4

Solutions

Step: 1

Range is the difference between the greatest number and the least number.

Step: 2

The maximum score is 70 and the minimum score is 50.

Step: 3

So, the range of scores is 20.

[70 - 50 = 20.]

Correct Answer is : 20

Solved Examples and Worksheet for Range

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HighSchool Math