Worksheet: The Range of a Data Set

In this worksheet, we will practice finding the range of a data set.

Q1:

What is the name of the difference between the greatest and the smallest values of a data set?

  • Aarithmetic mean
  • Bmedian
  • Crange
  • Dstandard deviation

Q2:

The number of goals scored by twelve soccer players in a season are 13, 11, 12, 5, 5, 9, 6, 11, 8, 5, 6, and 19. State whether the following statement is true or false: The range of the data is 14 goals.

  • Afalse
  • Btrue

Q3:

Average temperatures were recorded throughout a week starting from Saturday to Friday. The temperatures were 40C, 30C, 36C, 37C, 26C, 32C, and 27C, respectively. Find the difference between the highest and lowest temperatures.

Q4:

What is the range of the following numbers: 7, 5, 6, 4, 2, 2?

Q5:

Amelia recorded the outside temperature for five nights for a school project. Determine the range of the recorded data: 7F, 1F, 10F, 12F, 6F.

Q6:

Find the range of the following set of data: 6.8, 8.3, 5.7, 5.3, 7.9, 8.4, 4.1, 1.5, 5.5, 5.4, 4.7, 1.2.

Q7:

The graph shows the weights, in kilograms, of emperor penguins at a zoo. Is the range of the weights 24 kilograms?

  • AYes
  • BNo

Q8:

Let the greatest element in a set be 445 and the range of the set be 254. What is the smallest element of this set?

Q9:

The given graph shows the revenue generated by a company’s major products. Determine the range of the monthly revenue generated by product B.

Q10:

The given table shows the average temperatures in Fahrenheit for some cities in January. Find the range for the three cities with the lowest temperatures.

34 8 43 9 28
35 19 24 34 50
38 47 33 25 37

Q11:

Scarlett works at an ice cream shop, and counts the number of ice creams she sell each hour. In the last 6 hours she sold 10 ice creams, 8 ice creams, 9 ice creams, 9 ice creams, 7 ice creams, and 9 ice creams.

What is the range of the numbers of ice creams sold?

Q12:

Find the range for the following set of data: 18.85, 18.18, 18.91, 10.46, 15.31, 19.63, 16.45, 8.27, 17.81, 14.05.

Q13:

Find the value of 𝑥, given that the range of the values 795462𝑥,,,,,,and is 8 and 𝑥>2.

Q14:

Amelia asked 9 of her friends about the number of friend requests they accept on Facebook each week. The numbers were 3 requests, 5 requests, 1 request, 3 requests, 6 requests, 3 requests, 3 requests, 6 requests, and 5 requests. What is the range of the number of acceptances?

Q15:

Each time he writes a song, a songwriter creates a number of drafts. For the last five songs, he wrote 7 drafts, 8 drafts, 10 drafts, 6 drafts, and 6 drafts. Find the range of the number of drafts he writes.

Q16:

The table shows the amount of money Liam saves each day. Describe how the range would change if the data for Thursday was not included.

Day Saturday Sunday Monday Tuesday Wednesday Thursday
Savings $ 4 . 9 2 $ 5 . 5 3 $ 7 . 5 4 $ 4 . 0 8 $ 1 3 . 4 6 $ 1 2 . 5 1
  • AThe range would increase from 9.38 to 13.46.
  • BThe range would remain unchanged at 9.38.
  • CThe range would increase from 9.38 to 12.38.
  • DThe range would remain unchanged at 12.38.
  • EThe range would decrease from 12.38 to 9.38.

Q17:

Jacob has the following data:

16, 17, 16, 17, 𝑚.

If the range is 6, which number could 𝑚 be?

  • A17
  • B10
  • C11
  • D18
  • E16

Q18:

A delivery company delivered to 6 locations. The number of packages delivered to each location was 6, 8, 8, 9, 7, and 7. Find the range of the number of packages delivered.

Q19:

William has the following data: 6, 8, 𝑘, 8, 8, 9.

If the range is 7, which number could 𝑘 be?

  • A9
  • B2
  • C5
  • D8
  • E6

Q20:

The table given represents the heights of 40 students in centimeters. Determine the range of their heights.

166 147 163 166 147 176 164 140 163 150
145 169 168 169 179 166 167 173 157 156
171 170 145 136 184 139 166 168 160 171
166 180 161 176 186 148 155 174 142 181

Q21:

Michael has the following data: 6, 8, 𝑘, 8, 8, 9.

If the range is 3, which number could 𝑘 be?

  • A6
  • B4
  • C13
  • D3
  • E5

Q22:

The following figure demonstrates the number of glasses of water a group of people consume per day. Describe how the range would change if an additional data value of 1 was added to the data set.

  • AThe range would increase from 5 to 7.
  • BThe range would decrease from 5 to 4.
  • CThe range would increase from 4 to 8.
  • DThe range would decrease from 4 to 2.
  • EThe range would remain unchanged at 5.

Q23:

Jennifer is buying new headphones. The range of prices of the headphones she likes is $106. If the most expensive one costs $270, determine the cost of the least expensive one.

Q24:

The table shows the average time taken to do various chores. Determine the range of the data.

Chore Vacuuming Sweeping Washing Dishes Cooking Meals Cleaning Bathrooms Doing Laundry Taking Out the Trash
Average Time (min) 11 25 11 28 23 68 10

Q25:

Given the values 68, 11, 59, and 92, determine the range of this data.

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