# 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 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 value that has 5 values smaller than it and 5 values larger than it
- BThe sum of the measured values divided by 11
- 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 measured value that occurs the most times in the set of measurements

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

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

**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?

- AIV
- BIII
- CII
- DI

**Q8: **

An irregularly shaped sheet of plastic has its length measured at the points I, II, III, IV, V, and VI, as shown in the diagram. The following values are obtained: , , , , , and .

What is the difference between the mean length of the sheet and the shortest individual length measurement to the nearest centimeter?

- A65 cm
- B7 cm
- C43 cm
- D22 cm
- E19 cm

What is the difference between the mean length of the sheet and the longest individual length measurement to the nearest centimeter?

- A6 cm
- B14 cm
- C65 cm
- D22 cm
- E19 cm