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MYP Physics · 01 · data analysis

Repeated timing of ten swings

Scientific inquiry and measurement · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
routine
Marks
7
Topics
2
Answer
Complete
data analysis7 marks

A student times ten complete swings of the same pendulum five times. The stopwatch reads to 0.01 s.

Time for ten complete swings
TrialTime / s
118.42
218.36
318.40
419.17
518.38
  1. a

    Identify Identify the anomalous reading and give one evidence-based reason for your choice.

    2 marks
  2. b

    Calculate Exclude the anomaly. Calculate the mean time for one swing and give the answer to an appropriate precision.

    3 marks
  3. c

    Explain Explain why timing ten swings is better than timing only one swing with the same stopwatch.

    2 marks
Ready to self-mark?Reveal the detailed answer guide
Answer overviewKey answer: Identifies 19.17 s as anomalous. States that it is much farther from the tight cluster 18.36–18.42 s than any other reading. Finds the mean time for ten swings: (18.42 + 18.36 + 18.40 + 18.38) ÷ 4 = 18.39 s.
01

a

2 marks

Identify Identify the anomalous reading and give one evidence-based reason for your choice.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    Identifies 19.17 s as anomalous.

  2. 2

    States that it is much farther from the tight cluster 18.36–18.42 s than any other reading.

02

b

3 marks

Calculate Exclude the anomaly. Calculate the mean time for one swing and give the answer to an appropriate precision.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    Finds the mean time for ten swings: (18.42 + 18.36 + 18.40 + 18.38) ÷ 4 = 18.39 s.

  2. 2

    Divides by ten to obtain the period 1.839 s.

  3. 3

    Reports about 1.84 s with a justified precision.

03

c

2 marks

Explain Explain why timing ten swings is better than timing only one swing with the same stopwatch.

How to approach it

Read the data before explaining it. Quote the relevant values or trend, show the comparison or calculation, and then connect that numerical evidence to the physical conclusion—including uncertainty or anomalies when they matter.

  1. 1

    Human reaction-time uncertainty is roughly the same for either timing interval.

  2. 2

    Dividing a longer total time by ten reduces the percentage uncertainty in the period.

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