Question

a teacher put all her students quiz scores up on the representation below.
quiz scores
which interval does the median test score fall within?

Explanation:

Step1: Calculate total number of students

Add up the frequencies: \(8 + 1+6 + 3+3 + 4=25\) students.

Step2: Find the position of the median

For \(n = 25\) (odd number), the median is the \(\frac{n + 1}{2}=\frac{25+ 1}{2}=13^{th}\) value.

Step3: Cumulative frequency

• \(40 - 49\): cumulative frequency \(=8\)
• \(50 - 59\): cumulative frequency \(=8 + 1=9\)
• \(60 - 69\): cumulative frequency \(=9+6 = 15\)

Since \(8<13<15\), the \(13^{th}\) value falls in the \(60 - 69\) interval.

Answer:

The median test score falls within the \(60 - 69\) interval.