Question

bridge to mathematics. math 003 fall 2025
homework: unit 4 - mean, median and mode, and probability
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question 13, 7.3.23
hw score: 41.3%, 19 of 46 points
points: 0 of 1
in a mathematics class, the following test scores were recorded for a student. find the median.
81, 90, 86, 69, 72, 80
the median is (round to one decimal place as needed.)

Explanation:

Step1: Arrange scores in ascending order

$69,72,80,81,86,90$

Step2: Determine position of median

Since there are $n = 6$ (an even - numbered data set), the median is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+ 1)$th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Calculate the median

The 3rd value is $80$ and the 4th value is $81$. Median $=\frac{80 + 81}{2}=\frac{161}{2}=80.5$

Answer:

$80.5$