QUESTION IMAGE
Question
earning from summer job
a histogram of weekly earnings from summer jobs by high school students
is shown.
earning from summer job
what is the median weekly earnings for summer jobs?
$101 - 150
$201 - 250
$51 - 100
$151 - 200
Step1: Calculate total number of students
Add the frequencies: \(5 + 10+15 + 7+3=40\)
Step2: Find the median position
Since \(n = 40\) (even), the median is the average of the \(20^{th}\) and \(21^{st}\) values.
Step3: Cumulative frequencies
- For \(0 - 50\): \(5\)
- For \(51 - 100\): \(5 + 10=15\)
- For \(101 - 150\): \(15+15 = 30\)
The \(20^{th}\) and \(21^{st}\) values fall in the \(101 - 150\) range.
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\(\$101 - 150\)