(a) Find the mean for this sample and explain what it represents. (b) Find the standard deviation for this sample. (c) Find the median for this sample.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. One company builds many homes in Ottawa every year. In planning for each job, the manager
of the company needs some idea about the direct labor hours required to build a home. To do
this, the manager has collected sample information on the labor hours for 10 jobs during the
past years:
645 802 791 651 653 542 418 695 552 575
(a) Find the mean for this sample and explain what it represents.
(b) Find the standard deviation for this sample.
(c) Find the median for this sample.
(d) The manager wishes to be able to finish at least 75% of the houses he contracts to build
within two weeks. Each of his workers works 40 hours a week. If the manager asks you to
determine the number of workers, how many workers he should hire? (Hint: The data are
not assumed to be bell shaped. Based on the Tchebysheff Theorem, interval ( ks, + ks)
contains at least (I Į k)% of the data.)
Transcribed Image Text:2. One company builds many homes in Ottawa every year. In planning for each job, the manager of the company needs some idea about the direct labor hours required to build a home. To do this, the manager has collected sample information on the labor hours for 10 jobs during the past years: 645 802 791 651 653 542 418 695 552 575 (a) Find the mean for this sample and explain what it represents. (b) Find the standard deviation for this sample. (c) Find the median for this sample. (d) The manager wishes to be able to finish at least 75% of the houses he contracts to build within two weeks. Each of his workers works 40 hours a week. If the manager asks you to determine the number of workers, how many workers he should hire? (Hint: The data are not assumed to be bell shaped. Based on the Tchebysheff Theorem, interval ( ks, + ks) contains at least (I Į k)% of the data.)
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