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5) shoe size median mode = mean =

Question

  1. shoe size median mode = mean =

Explanation:

Step1: Count the number of data points

There are \(2 + 3 + 4 + 2=11\) data points.

Step2: Find the median

Since \(n = 11\) (odd), the median is the \(\frac{n + 1}{2}=\frac{11+ 1}{2}=6^{th}\) ordered data point.
Ordering the data: \(6,6,7,7,7,8,8,8,8,9,9\). The \(6^{th}\) value is \(8\).

Step3: Find the mode

The mode is the value that appears most frequently. The value \(8\) appears \(4\) times.

Step4: Calculate the mean

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Answer:

Median \( = 8\), Mode \(=8\), Mean\(\approx7.55\)