Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

earning from summer job a histogram of weekly earnings from summer jobs…

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

Explanation:

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.

Answer:

\(\$101 - 150\)