Math Problem Statement
Solution
The image presents a statistical exercise (Latihan) with data regarding the scores of 50 students in a "Sistem Informasi" (Information Systems) course for Semester 4 in 2023. Let's analyze the questions one by one.
Given Data (Scores):
91, 93, 82, 78, 70, 71, 92, 38, 56
79, 49, 48, 74, 81, 85, 87, 90, 84
35, 83, 71, 43, 86, 80, 89, 53, 76
81, 70, 74, 97, 95, 80, 51, 73, 97
74, 73, 68, 72, 85, 57, 73, 62, 75
88, 74, 72, 85, 71, 53, 71, 83, 86
Questions:
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Berapa mahasiswa yang mendapat nilai antara 44 – 52 dan 80 – 88? (How many students scored between 44 – 52 and 80 – 88?)
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Berapa persen mahasiswa yang mendapat nilai antara 53 – 61 dan 89 – 97? (What percentage of students scored between 53 – 61 and 89 – 97?)
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Berapa banyak mahasiswa yang nilainya kurang dari 44? (How many students scored below 44?)
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Berapa banyak mahasiswa yang nilainya kurang dari 71? (How many students scored below 71?)
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Buatlah grafik Ogif untuk nilai kurang dari dan lebih dari. (Create an Ogive graph for scores less than and greater than.)
I'll now calculate the answers for each question.Here are the results for the questions:
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How many students scored between 44 – 52 and 80 – 88?
- Between 44 – 52: 3 students
- Between 80 – 88: 15 students
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What percentage of students scored between 53 – 61 and 89 – 97?
- Between 53 – 61: 7.41%
- Between 89 – 97: 14.81%
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How many students scored below 44?
- 3 students scored below 44.
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How many students scored below 71?
- 14 students scored below 71.
Next, I can help with plotting the Ogive graph as required in question 5. Would you like to proceed with the graph?
Here are some related questions:
- How would the number of students change if the range for question 1 was extended?
- What are the average scores for these 50 students?
- What is the median score of this dataset?
- What percentage of students scored above 90?
- How does the range 53–61 compare with 44–52 in terms of the number of students?
Tip: An Ogive graph (cumulative frequency graph) helps visualize the cumulative distribution of scores, which is useful for understanding how scores accumulate across intervals.
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Cumulative Frequency
Percentages
Formulas
Percentage = (Number of Students in Range / Total Students) * 100
Cumulative Frequency for Ogive
Theorems
Basic Percentage Calculation
Ogive Graph Theory
Suitable Grade Level
Undergraduate (Statistics)
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