Question

dan works at a plant nursery. he recorded the number of roses on each bush. roses per bush based on the histogram, which number could be the median number of roses on a bush? 7 12 17 21 28

Explanation:

Step1: Calculate total number of bushes

$1 + 6+5 + 3+1=16$

Step2: Determine position of median

Since $n = 16$ (even), median is average of $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered values. $\frac{n}{2}=\frac{16}{2}=8$ and $\frac{n}{2}+1 = 9$.

Step3: Find cumulative frequencies

For $0 - 4$: $1$; for $5 - 9$: $1 + 6=7$; for $10 - 14$: $7+5 = 12$. The $8$ - th and $9$ - th values fall in the $10 - 14$ interval. A value in this interval could be $12$.

Answer:

12