Question
32) Calculate mean deviotion from the follorving data Class: \( 16-22 \) F : 5 5 \( 22-28 \) 12
Ask by Hill Warner.
Nov 19,2024 05:53
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Answer
The mean deviation is approximately 2.49.
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To find the mean deviation from your data, we first need the midpoints for each class. For the class \( 16-22 \), the midpoint is \( 19 \), and for \( 22-28 \), it's \( 25 \).
Now, let's calculate the weighted average (mean) using the frequencies (F) provided:
Mean = \( \frac{(5 \times 19) + (12 \times 25)}{5 + 12} = \frac{95 + 300}{17} = \frac{395}{17} \approx 23.24 \).
Next, we calculate the deviations from the mean for each class, weight them by the frequencies, and finally divide by the total frequency to find the mean deviation.
The resulting calculations will give you a deeper insight into how spread out your data is regarding the mean!
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