Blaise2653
24.03.2020 •
Mathematics
A recent survey by the U.S. Census Bureau determined that the median monthly housing rent was $643. If the first quartile for monthly housing rent was $479, find the percent of monthly housing rents that were the following values:
a. more than $570.
b. less than $708.
c. between $570 and $708.
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Ответ:
Using the percentile concept, it is found that:
a) 50% of monthly housing rents were more than $570.
b) 75% of monthly housing rents were less than $708.
c) 25% of monthly housing rents were between $570 and $708.
When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.
The correct values are:
Median of $570.Third quartile of $708.Item a:
The median is the 50th percentile, hence 100 - 50 = 50% of monthly housing rents were more than $570.
Item b:
The third quartile is the 75th percentile, as , hence, 75% of monthly housing rents were less than $708.
Item c:
75% - 50% = 25%, hence, 25% of monthly housing rents were between $570 and $708.
A similar problem is given at link
Ответ:
The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles;