Question

For the data given below: a. Plot the scaled frequency histogram. b. Compute the mean and standard deviation and use them to estimate the lower and upper limits of strength corresponding to 68 and 96 percent of such timber pieces. Compare these limits with those of the data.

243236389628143417205404464605137123372439497500535577441231675132196217660569865725457347\begin{matrix} \text{243} & \text{236} & \text{389} & \text{628} & \text{143} & \text{417} & \text{205}\\ \text{404} & \text{464} & \text{605} & \text{137} & \text{123} & \text{372} & \text{439}\\ \text{497} & \text{500} & \text{535} & \text{577} & \text{441} & \text{231} & \text{675}\\ \text{132} & \text{196} & \text{217} & \text{660} & \text{569} & \text{865} & \text{725}\\ \text{457} & \text{347}\\ \end{matrix}

Solution

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Step 1

1 of 4

First part of the program plots the scaled frequency histogram.

Second part computes the mean and standard deviation and finds intervals, such that 68 percent and 96 percent pieces have a strength of cord in that intervals.

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