Question

The number of muffins sold in a school carnival by $10$ students is given in this ordered stem and leaf plot. What are the median and mode of this data set?

Stem	Leaf
2	3,5,5,7,8
3	2,6,6
4	5
5	0

• A. Median $=30$, Mode $=25$
• B. Median $=30$, Mode $=36$
• C. Median $=30$, Mode $=25and36$

Answer 1

The correct option is C Median $=30$, Mode $=25and36$

Key: $1|5$ means $15$.
There are total 10 values in the stem and leaf plot.
The median would be the average of the $5^{th}$ and the $6^{th}$ values.
Median $=\frac{28+32}{2}=\frac{60}{2}$
Median $=30$

From the stem and leaf plot, we can see that $25$ and $36$ are occuring two times.
Mode $=25and36$
This is a bimodal data.