The Internal Revenue Service (IRS) determines which income tax returns to audit by looking at, among other things, whether there are any unusual deductions claimed 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. Frequency 25 20- 15- 10- 5+ 0. 41 0 900 5 10 25 20 1000 1100 1200 Charitable deduction (in dollars) X 1300 15 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.) 1400

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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The Internal Revenue Service (IRS) determines which income tax returns to audit by looking at, among other things, whether there are any unusual deductions
claimed 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.
Frequency
25
20-
15-
10-
5+
0
HH
1
900
5
10
25
20
1000
1100
1200
Charitable deduction (in dollars)
X
1300
15
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.)
1400
Transcribed Image Text:The Internal Revenue Service (IRS) determines which income tax returns to audit by looking at, among other things, whether there are any unusual deductions claimed 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. Frequency 25 20- 15- 10- 5+ 0 HH 1 900 5 10 25 20 1000 1100 1200 Charitable deduction (in dollars) X 1300 15 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.) 1400
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