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.

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:

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

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step-by-step explanation:

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the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!