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Finding Missing Data with Given Averages — Free MYP3 Mathematics Practice Questions
1QuestionCreating Balanced Data SetsConcept Practice
2 marks~3 minCriterion A
Five bags of marbles contain the following numbers of marbles:
Bag 1: 3 — Bag 2: 5 — Bag 3: 7 — Bag 4: 9 — Bag 5:
The mean number of marbles per bag is 6.
Calculate the value of . [2]
Bag 1: 3 — Bag 2: 5 — Bag 3: 7 — Bag 4: 9 — Bag 5:
The mean number of marbles per bag is 6.
Calculate the value of . [2]
Solutions
2QuestionCreating Balanced Data SetsAssessment Practice
5 marks~8 minCriterion C
A school basketball team played 5 games. Their points scored in each game were: . The sports coordinator claims the mean points per game is exactly .
a
Calculate two possible values for and . Show your working. [2]
b
Explain one limitation of using only the mean to assess the team's performance. [1]
c
The coordinator compares two possible score sets:
Set A:
Set B:
Both sets have a mean of . Analyse which set better represents a consistent team performance, and justify your answer using a relevant statistical measure. [2]
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Set A:
Set B:
Both sets have a mean of . Analyse which set better represents a consistent team performance, and justify your answer using a relevant statistical measure. [2]
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Solutions
3QuestionUsing the Mean to Find a Missing ValueConcept Practice
2 marks~3 minCriterion B
Each set below contains five numbers with a mean of 10. One number in each set is missing.
Set 1:
Set 2:
Set 3:
Set 4:
Set 1:
Set 2:
Set 3:
Set 4:
a
Calculate the missing number in each set. [1]
b
Explain a rule that can always be used to find a missing value when the mean and the number of values are known. [1]
Solutions
4QuestionCreating Balanced Data SetsAssessment Practice
6 marks~9 minCriterion D
A basketball coach records the points scored by five players in one game:
Player A: 14 — Player B: 10 — Player C: 16 — Player D: 8 — Player E: unknown
To qualify for a tournament, the team's mean score must be exactly 13 points.
Player A: 14 — Player B: 10 — Player C: 16 — Player D: 8 — Player E: unknown
To qualify for a tournament, the team's mean score must be exactly 13 points.
a
Calculate the score Player E must achieve to reach this mean. [2]
b
Explain why using the mean is a useful way to set a team performance target. [2]
c
Analyse whether it is realistic to rely on one player's score to guarantee the team's mean. In your answer, refer to at least two limitations of the mean in this context. [2]
Solutions
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