Frequency 25- 20 15- 10- 5+ 0- HH 900 15 20 25 10 1000 1100 1200 Charitable deduction (in dollars) 1300 1400

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Descriptive Statistics
Approximating the standard deviation of a data set given a histogram
Frequency
The Internal Revenue Service (IRS) determines which income tax returns to audit by looking at, among other things, whether there are any unusual deductions
daimed on the return. The IRS has data from last year regarding the mean and standard deviation of charitable deductions for a family of four. The IRS wishes
to know whether the standard deviation this year is still about the same as it was last year. To get a rough initial idea, the IRS randomly selects 75 income tax
returns for families of four from this year's tax filings. The charitable deductions claimed on the returns are summarized in the following histogram.
25-
20
154
10.
5-
0
0
900
15
20
25
10
1000
1100
1200
Charitable deduction (in dollars)
X
Based on this histogram, estimate the standard deviation of the sample of 75 deduction amounts.
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.)
1300
S
1400
0/5
4
So
Transcribed Image Text:Descriptive Statistics Approximating the standard deviation of a data set given a histogram Frequency The Internal Revenue Service (IRS) determines which income tax returns to audit by looking at, among other things, whether there are any unusual deductions daimed on the return. The IRS has data from last year regarding the mean and standard deviation of charitable deductions for a family of four. The IRS wishes to know whether the standard deviation this year is still about the same as it was last year. To get a rough initial idea, the IRS randomly selects 75 income tax returns for families of four from this year's tax filings. The charitable deductions claimed on the returns are summarized in the following histogram. 25- 20 154 10. 5- 0 0 900 15 20 25 10 1000 1100 1200 Charitable deduction (in dollars) X Based on this histogram, estimate the standard deviation of the sample of 75 deduction amounts. 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.) 1300 S 1400 0/5 4 So
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