# Worksheet: The Mean of a Data Set

In this worksheet, we will practice calculating the mean of a set of whole numbers or decimals.

**Q4: **

Find, to two decimal places, the mean of the test scores in the table. Then determine which groupβs score is closest to the mean.

Class Group | Group A | Group B | Group C | Group D | Group E | Group F | Group G | Group H |
---|---|---|---|---|---|---|---|---|

Test Score | 78 | 86 | 72 | 93 | 92 | 84 | 87 | 70 |

- AThe mean is 84.57, and Group F is the closest to the mean.
- BThe mean is 94.57, and Group D is the closest to the mean.
- CThe mean is 82.75, and Group G is the closest to the mean.
- DThe mean is 82.75, and Group F is the closest to the mean.
- EThe mean is 82.75, and Group E is the closest to the mean.

**Q5: **

Find the mean of the following set of data: 9.2, 2.5, 1.7, 2.2, 6.4, 9.1, 2.2, 5.9. If necessary, round your answer to the nearest tenth.

**Q9: **

Calculate the mean of the values in the table.

17 | 25 | 13 | 22 | 15 | 17 | 24 | 21 | 23 | 14 | 19 | 22 | 19 | 16 | 18 |

**Q10: **

Find the mean of the values 15, 20, 37, 43, 13, 34, 41, and 39.

**Q12: **

Calculate the mean of the values given in the table.

136 | 136 | 139 | 135 | 117 | 135 | 120 | 125 | 116 | 131 |

**Q13: **

Find the mean of the following set of data: 5.53, 7.74, 8.91, 4.31, 3.22.

**Q14: **

Determine the mean of three numbers which sum to 42.

**Q15: **

Find, to the nearest cent, the mean of the set of costs in the table.

Cost | Tally | Frequency |
---|---|---|

$12.64 | 11 | |

$18.06 | 15 | |

$10.50 | 10 |

**Q16: **

Find the mean of the set of data in the line plot. If necessary, write your answer to the nearest tenth.

**Q17: **

Before the last soccer game of the season, David scored a total of 23 goals. He scored 5 goals in the final game, with an average of 4 goals per game this season. To calculate the total number of games David played, we first find the sum of 23 and 5. What would be the next step?

- Adivide the sum by 5
- Badd the sum to 4
- Cmultiply the sum by 4
- Dsubtract 4 from 230
- Edivide the sum by 4

**Q20: **

The table shows the total precipitation in Arches National Park in January of each year. Calculate the mean January precipitation over the entire period shown in the table.

Year | 1,997 | 1,998 | 1,999 | 2,000 | 2,001 | 2,002 | 2,003 | 2,004 |
---|---|---|---|---|---|---|---|---|

Precipitation (in) | 1.09 | 0.013 | 0.54 | 0.80 | 0.89 | 0.24 | 0.11 | 0.16 |

**Q21: **

The mean of the given data set is 7. Find the missing value .

9 | 6 | 3 | 8 | 5 |

**Q22: **

Given that the mean of the marks of 9 students is 45, determine the sum of their marks.

**Q24: **

The table shows how much Jacob saved each day. Describe how the mean would be affected if the savings for Monday were not included.

Day | Saturday | Sunday | Monday | Tuesday | Wednesday | Thursday |
---|---|---|---|---|---|---|

Amount Saved | $11.90 | $6.00 | $3.70 | $3.10 | $6.10 | $8.10 |

- AThe mean would decrease from $11.90 to $6.48.
- BThe mean would increase from $6.48 to $11.90.
- CThe mean would increase from $6.48 to $7.04.
- DThe mean would remain unchaged at $6.48.
- EThe mean would decrease from $7.04 to $6.48.

**Q25: **

If the mean age of two people is 50 and one of the people is 54 years old, how old is the other person?