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

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 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 I, II, III, IV, and V, as shown in the diagram. The following values are obtained: I=18 mm, II=26 mm, III=12 mm, IV=16 mm, and V=21 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

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?

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: Icm=43, IIcm=58, IIIcm=70, IVcm=66, Vcm=68, and VIcm=84.

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

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