Math Problem Statement

carany dan jawaban

Data berat badan dari 80 siswa suatu sekolah disajikan pada tabel berikut. Temukan nilai-nilai statistika seperti rata-rata, median, modus, dan simpangan baku.

Solution

The question you have uploaded appears to show a frequency table based on the weights of 80 students. The weight categories are divided into ranges (e.g., 30-34 kg, 35-39 kg, etc.), and the corresponding frequencies (the number of students in each range) are provided.

The table is as follows:

Weight (kg)Frequency
30 – 348
35 – 3910
40 – 4413
45 – 4917
50 – 5414
55 – 591
60 – 647

To solve the questions based on this table, you might be asked to find things like:

  1. Mean (average) weight: This can be done using the midpoint of each weight class and calculating the weighted mean.
  2. Median: This would involve finding the cumulative frequency to determine the class interval where the median lies.
  3. Mode: The mode would be the class interval with the highest frequency.
  4. Standard Deviation: This would involve calculating the variance and then finding its square root.

Let me know which specific task or calculation you'd like to perform, and I can guide you through it!

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Measures of Central Tendency
Standard Deviation

Formulas

Mean = Σ(f * x) / N
Median = L + [(N/2 - F) / f] * h
Mode = L + [(f1 - f0) / (2f1 - f0 - f2)] * h
Standard Deviation = sqrt(Σ(f * (x - μ)^2) / N)

Theorems

Measures of Central Tendency Theorem
Empirical Rule for Standard Deviation

Suitable Grade Level

Grades 10-12