8:50AAwww-awn.aleks.comO DESCRIPTIVE STATISTICSApproximating the standard deviation of a data set.Reyesburg Corporation is contemplating using a new, more expensive glue inthe construction of its laminated veneer lumber. Of importance to the companyis the variability of the carrying load of the lumber. The company has tested 20beams using the new glue, recording for each beam the pressure (in poundsper square foot) at which the beam breaks. The data collected are presented inthe following histogram:Frequency920Carrying load (in pounds per square foot)900Based on this histogram, estimate the standard deviation of the sample of 20carrying loads.Carry your intermediate computations to at least four decimal places, andround your answer to at least one decimal place.(If necessary, consult a list of formulas.)ExplanationCheckTerms of UseI Privacy I Accessibility

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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O DESCRIPTIVE STATISTICS
Approximating the standard deviation of a data set.
Reyesburg Corporation is contemplating using a new, more expensive glue in
the construction of its laminated veneer lumber. Of importance to the company
is the variability of the carrying load of the lumber. The company has tested 20
beams using the new glue, recording for each beam the pressure (in pounds
per square foot) at which the beam breaks. The data collected are presented in
the following histogram:
Frequency
920
Carrying load (in pounds per square foot)
900
Based on this histogram, estimate the standard deviation of the sample of 20
carrying loads.
Carry your intermediate computations to at least four decimal places, and
round your answer to at least one decimal place.
(If necessary, consult a list of formulas.)
Explanation
Check
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Expert Solution

Step 1

Based on this histogram, frequency distribution table is obtained as follows:

Carrying load	Frequency
860-880	2
880-900	6
900-920	8
920-940	4

Sample size $n = 20$

Calculation of Sample standard deviation:

Formula:

$s = \sqrt{\frac{\sum_{i} f . d^{2} - \frac{{(\sum_{i} f . d)}^{2}}{n}}{n - 1}} . h$

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