josie is organizing her ribbons for a craft project. the list shows the length of each of her ribbons. 21.5…
josie is organizing her ribbons for a craft project. the list shows the length of each of her ribbons. 21.5 cm, 12.4 cm, 30.4 cm, 15.3 cm, 10.7 cm, 7.9 cm, 14.6 cm, 11.2 cm what is the median ribbon length? a. 12.4 cm b. 13.0 cm c. 13.5 cm d. 14.6 cm e. 15.5 cm
Answer
Explanation:
Step1: Arrange data in ascending order
$7.9, 10.7, 11.2, 12.4, 14.6, 15.3, 21.5, 30.4$
Step2: Determine the middle - value position
There are $n = 8$ data points. The median position for $n$ even is $\frac{n}{2}$ and $\frac{n}{2}+1$. Here, $\frac{8}{2}=4$ and $\frac{8}{2}+1 = 5$.
Step3: Calculate the median
The median is the average of the 4th and 5th ordered values. Median=$\frac{12.4 + 14.6}{2}=\frac{27}{2}=13.5$
Answer:
C. $13.5$ cm