Question

the graph below represents data that was collected by students on the number of social media posts they made the previous day. social media posts what was the median number of posts made?

Explanation:

Step1: Calculate the total number of students

Add up the frequencies: \(2 + 1+6 + 3+1 + 2+1+2=18\)

Step2: Determine the position of the median

Since \(n = 18\) (even), the median is the average of the \(\frac{n}{2}\)th and \((\frac{n}{2}+1)\)th values. \(\frac{18}{2}=9\) and \(\frac{18}{2}+1 = 10\)

Step3: Count the cumulative frequencies

• For \(1\) post: cumulative frequency \(=2\)
• For \(3\) post: cumulative frequency \(=2 + 1=3\)
• For \(5\) post: cumulative frequency \(=3+6 = 9\)
• For \(6\) post: cumulative frequency \(=9+3=12\)

The \(9\)th and \(10\)th values fall within the \(5\) - post category.

Answer:

\(5\)