Identifying Most Frequent: Space & Astronomy Real-world Applications

Mathematics
Year 9
13 questions
~26 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on identifying the most frequent data point within space and astronomy contexts for Year 9 students.

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Identifying Most Frequent: Space & Astronomy Real-world Applications

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Fluency & Practice

Answer all questions. Show your working in the grid spaces provided.
1.
In a survey of the number of stars observed in different constellations, the counts are: 12, 15, 12, 17, 15, 12. What is the most frequently observed number?
[2 marks]
2.
A telescope records the number of planets detected over several nights: 3, 4, 3, 5, 3, 4. Which number occurs most often?
[2 marks]
3.
List the mode for the following data: 8, 9, 8, 10, 8, 9.
[2 marks]
B

Problem Solving & Reasoning

Answer all questions. Show detailed working.
1.
A researcher notes the number of meteors observed in a night: 20, 22, 20, 23, 20, 21. Determine the mode and explain why it is considered the most frequent value.
[3 marks]
2.
Data collected from a satellite shows the number of satellites passing overhead per hour: 5, 6, 5, 7, 6, 5. Identify the mode and justify your answer.
[3 marks]
C

Real-world Applications

Answer the following questions based on the space-themed scenarios. Show your reasoning.
1.
Astronomers record the number of stars in different regions as follows: 150, 160, 150, 170, 150, 160. What is the most common number of stars observed, and what does this suggest about the data?
[3 marks]
2.
In a study of planetary orbits, the number of planets per star is recorded as: 1, 2, 2, 3, 2, 1. Identify the mode and discuss what it reveals about the most common planetary system size.
[3 marks]
D

Challenge & Extension

Answer all questions. Provide detailed explanations where needed.
1.
A space agency records the number of satellites launched each month: 4, 5, 4, 6, 4, 5, 6, 4. Determine the mode and explain how this information can assist future planning.
[4 marks]
2.
Given the data: 11, 13, 11, 15, 11, 13, 15, identify the mode(s). If there are multiple modes, state all of them and discuss what this indicates about the dataset.
[4 marks]
E

Mixed Review

Attempt all questions to reinforce understanding of the mode.
1.
The number of comets observed over several nights is: 3, 4, 4, 2, 4, 3. Find the mode.
[2 marks]
2.
A survey of moon craters shows the number of craters in various regions as: 50, 55, 50, 60, 50, 55, 60. What is the mode, and what does this tell us about crater distribution?
[2 marks]
F

Error Analysis

Review the questions and identify any common mistakes made in determining the mode. Explain how to correct these errors.
1.
A student finds the mode of the data set 10, 12, 10, 14, 12, 10 as 12. Identify the mistake and correct it.
[3 marks]
2.
In a dataset, the student claims there is no mode because all values are different. Is this correct? Explain.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet