# Worksheet: Finding Average Values of Physical Quantities

In this worksheet, we will practice calculating the mean, median, and modal value of a set of values of physical quantities.

**Q1: **

Which of the following is the correct definition of the mean value of a set of 11 experimental measurements of the values of an experimental variable? Some values occur more than once, but these are all unusually large or unusually small values.

- AThe largest value divided by the difference between the largest value and the smallest value
- BThe measured value that occurs the most times in the set of measurements
- CThe sum of the measured values divided by 11
- DThe difference between the largest value and the smallest value
- EThe value that has 5 values smaller than it and 5 values larger than it

**Q2: **

Which of the following is the correct definition of the median value of a set of 11 measurements of the values of an experimental variable? Some values occur more than once, but these are all unusually large or unusually small values.

- AThe sum of the measured values divided by 11
- BThe value that has 5 values smaller than it and 5 values larger than it
- CThe measured value that occurs the most times in the set of measurements
- DThe largest value divided by the difference between the largest value and the smallest value
- EThe difference between the largest value and the smallest value

**Q3: **

A student recorded seven measurements of mass, as shown in the table.

Mass (g) |
---|

12 |

18 |

16 |

15 |

38 |

55 |

18 |

What is the mean value of the measurements to the nearest whole number?

What is the median value of the measurements?

What is the modal value of the measurements?

**Q4: **

Which of the following is the correct definition of the modal value of a set of 11 measurements of the values of an experimental variable? Some values occur more than once, but these are all unusually large or unusually small values.

- AThe sum of the measured values divided by 11
- BThe measured value that occurs the most times in the set of measurements
- CThe difference between the largest value and the smallest value
- DThe largest value divided by the difference between the largest value and the smallest value
- EThe value that has 5 values smaller than it and 5 values larger than it

**Q5: **

An irregularly shaped blob of glass has its thickness measured at the points , , , , and , as shown in the diagram. The following values are obtained: mm, mm, mm, mm, and mm. What is the mean thickness of the glass to the nearest millimeter?

**Q6: **

Which of the lines shown in the diagram, I, II, III, or IV, is closest to the mean height of the four cylinders shown?

- AII
- BIV
- CIII
- DI

**Q7: **

A student records seven measurements of time, as shown in the table.

Time (s) |
---|

3 |

6 |

4 |

3 |

6 |

3 |

8 |

What is the mean value of the measurements to the nearest whole number?

What is the median value of the measurements?

What is the modal value of the measurements?