Math Problem Statement

Draw a frequency distribution from the data. And find out mean and median for group data. Submit till to next Friday.

Draw a frequency distribution from the data. And find out mean and median for group data. Submit till next Friday.

Solution

To solve this task, I'll first create a frequency distribution table from the given data. Then, I'll calculate the mean and median for the grouped data.

Step 1: Frequency Distribution

I'll group the apple weights into intervals and determine the frequency for each group.

Let's proceed by analyzing the image data.

Step 2: Mean Calculation

The formula for the mean μ\mu for grouped data is: μ=fixifi\mu = \frac{\sum f_i \cdot x_i}{\sum f_i} Where:

  • fif_i = frequency of the group
  • xix_i = midpoint of the group

Step 3: Median Calculation

The formula for the median of grouped data is: Median=L+(n2CFfm)h\text{Median} = L + \left(\frac{\frac{n}{2} - CF}{f_m}\right) \cdot h Where:

  • LL = lower boundary of the median group
  • nn = total frequency
  • CFCF = cumulative frequency before the median group
  • fmf_m = frequency of the median group
  • hh = class width

Let me process the given data for these steps.

I'll generate the table and perform the necessary calculations.

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Mean
Median
Grouped Data

Formulas

Mean formula: μ = Σ(f_i * x_i) / Σf_i
Median formula: Median = L + [(n/2 - CF) / f_m] * h

Theorems

Mean of Grouped Data
Median of Grouped Data

Suitable Grade Level

Grades 10-12