A survey that collected demographic data from respondents asked them to categorize their annual incomes​ (in thousands of​ dollars) into the groups in the table below. The number of respondents for each income group is also shown in the table.   Income                     Number of Respondents$20 to under $30                  68$30 to under $40                 113$40 to under $50                 125$50 to under $60                  23$60 to under $70                  36 Calculate the approximate variance and standard deviation of the incomes of the respondents.   The approximate variance of the incomes of the respondents is __thousand. ​(Round to two decimal places as​ needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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A survey that collected demographic data from respondents asked them to categorize their annual incomes​ (in thousands of​ dollars) into the groups in the table below. The number of respondents for each income group is also shown in the table.
 
Income                     Number of Respondents
$20 to under $30                  68
$30 to under $40                 113
$40 to under $50                 125
$50 to under $60                  23
$60 to under $70                  36
Calculate the approximate variance and standard deviation of the incomes of the respondents.
 
The approximate variance of the incomes of the respondents is __thousand.
​(Round to two decimal places as​ needed.)
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