# 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

**Q3: **

Average temperatures were recorded throughout a week starting from Saturday to Friday. The temperatures were , , , , , , and , 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: , , , , .

**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: , , , , , , , , , .

**Q13: **

Find the value of , given that the range of the values is 8 and .

**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 |

- 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, .

If the range is 6, which number could 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.

**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, , 8, 8, 9.

If the range is 3, which number could 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.