Magazine Thickness: Median Class, Modal Class, and Mean Estimate
Magazine Thickness: Median Class, Modal Class, and Mean Estimate
TGM Original
The thickness of \(50\) magazines from a bookstore measured in cm (correct to \(2\) significant figures) are given in the table below.
Thickness, \(x\) (cm) | \(0.50\le x<0.52\) | \(0.52\le x<0.54\) | \(0.54\le x<0.56\) | \(0.56\le x<0.58\) | \(0.58\le x<0.60\) | \(0.60\le x<0.62\) |
|---|---|---|---|---|---|---|
Frequency | \(6\) | \(8\) | \(12\) | \(11\) | \(7\) | \(6\) |
- State the median class.
- State the modal class.
- Fill in the frequency table below.
Thickness, \(x\) (cm)
\(f\)
Mid-Value (\(x\))
\(fx\)
\(0.50\le x<0.52\)
\(0.52\le x<0.54\)
\(0.54\le x<0.56\)
\(0.56\le x<0.58\)
\(0.58\le x<0.60\)
\(0.60\le x<0.62\)
Total
Total
- Estimate the mean thickness of the magazines.
Solution:
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Answer:(a), (b) \(0.54\le x<0.56\) cm. (c) Midpoints \(0.51,0.53,0.55,0.57,0.59,0.61\); \(\sum fx=27.96\). (d) \(0.5592\text{ cm}\).
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