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Worksheet: The Range of a Data Set

Q1:

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.

  • Atrue
  • Bfalse

Q2:

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

Q3:

Average temperatures were recorded throughout a week starting from Saturday to Friday. The temperatures were 4 0 C , 3 0 C , 3 6 C , 3 7 C , 2 6 C , 3 2 C , and 2 7 C , respectively. Find the difference between the highest and lowest temperatures.

Q4:

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?

Q5:

Find the range for the following set of data: 1 8 . 8 5 , 1 8 . 1 8 , 1 8 . 9 1 , 1 0 . 4 6 , 1 5 . 3 1 , 1 9 . 6 3 , 1 6 . 4 5 , 8 . 2 7 , 1 7 . 8 1 , 1 4 . 0 5 .

Q6:

By completing the table, find the range of the scores.

Score ( 𝑥 ) Frequency ( 𝑓 ) 𝑓 𝑥
3 6
5 25
9
3
Total 25 187

Q7:

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?

Q8:

Let the greatest element in a set be 1 798 and the range of the set be 297. What is the smallest element of this set?

Q9:

Find the value of 𝑥 , given that the range of the values 7 9 5 4 6 2 𝑥 , , , , , , a n d is 8 and 𝑥 > 2 .

Q10:

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?

Q11:

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.

Q12:

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 remain unchanged at 12.38.
  • BThe range would increase from 9.38 to 12.38.
  • CThe range would decrease from 12.38 to 9.38.
  • DThe range would remain unchanged at 9.38.
  • EThe range would increase from 9.38 to 13.46.

Q13:

Jacob has the following data:

16, 17, 16, 17, 𝑚 .

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

  • A 17
  • B 10
  • C 18
  • D 11
  • E 16

Q14:

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.

Q15:

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

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

  • A 6
  • B 5
  • C 9
  • D 2
  • E 8

Q16:

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

Q17:

The table given represents the heights of 40 students in centimetres. 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

Q18:

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

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

  • A 5
  • B 13
  • C 4
  • D 6
  • E 3

Q19:

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

Q20:

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

  • Amedian
  • Barithmetic mean
  • Cstandard deviation
  • Drange

Q21:

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.

Q22:

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

Q23:

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

  • Ano
  • Byes

Q24:

The graph shows the weights, in kilograms, of emperor penguins at a zoo. Is the range of the weights 22 kilograms?

  • Ayes
  • Bno

Q25:

Amelia recorded the outside temperature for five nights for a school project. Determine the range of the recorded data: 7 F , 1 F , 1 0 F , 1 2 F , 6 F .