Math Problem Statement

Calculate the mean based on the weight intervals and frequencies provided in the table.

Solution

The table shown provides data for weight intervals (Berat Badan), class midpoints (xix_i), and frequencies (Frekuensi). Here's the information:

Berat Badan (Weight Interval)xix_i (Midpoint)Frekuensi (Frequency)
47 – 49483
50 – 52516
53 – 55548
56 – 58577
59 – 61606

To calculate the mean, we use the formula for the mean of grouped dataThe table shown provides data for weight intervals (Berat Badan), class midpoints (xix_i), and frequencies (Frekuensi). Here's the information:

Berat Badan (Weight Interval)xix_i (Midpoint)Frekuensi (Frequency)
47 – 49483
50 – 52516
53 – 55548
56 – 58577
59 – 61606

To calculate the mean, we use the formula for the mean of grouped

Mean=(xifi)fi\text{Mean} = \frac{\sum (x_i \cdot f_i)}{\sum f_i}

Where:

  • xix_i = class midpoint
  • fif_i = frequency for each class

Step 1: Calculate xifix_i \cdot f_i

  • For xi=48x_i = 48 and fi=3f_i = 3, xifi=48×3=144x_i \cdot f_i = 48 \times 3 = 144
  • For xi=51x_i = 51 and fi=6f_i = 6, xifi=51×6=306x_i \cdot f_i = 51 \times 6 = 306
  • For xi=54x_i = 54 and fi=8f_i = 8, xifi=54×8=432x_i \cdot f_i = 54 \times 8 = 432
  • For xi=57x_i = 57 and fi=7f_i = 7, xifi=57×7=399x_i \cdot f_i = 57 \times 7 = 399
  • For (

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean Calculation
Grouped Data

Formulas

Mean = (Σ (x_i * f_i)) / (Σ f_i)

Theorems

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Suitable Grade Level

Grades 9-12