Question

The cups of hot chocolate consumed by $6$ owls is given.

Name	Number of Cups
Pixie	1
Pootle	2
Dane	3
Django	2
Hermann	3
Alex	8

What is the mean, median and mode of the number of cups of hot chocolate consumed(without ignoring Outlier)?

• A. Median $=3.17$
  Mean $=2.5$
  Mode $=2$ and $3$
• B. Mean $=3.17$
  Median $=2.5$
  Mode $=2$
• C. Mean $=3.17$
  Median $=2.5$
  Mode $=3$
• D. Mean $=3.17$
  Median $=2.5$
  Mode $=2$ and $3$

Answer 1

The correct option is D Mean $=3.17$

Median $=2.5$
Mode $=2$ and $3$
From the data given in the table, we can see that Alex is the Outlier.

Mean of the data(with Outlier Alex) $=\frac{1+2+3+2+3+8}{6}=\frac{19}{6}$
Mean of the data(with Outlier Alex) $=3.17$

For Median we need to arrange them from smallest to largest.

Name	Number of Cups
Pixie	1
Pootle	2
Django	2
Dane	3
Hermann	3
Alex	8

Here the number of persons is even.
Median of the data(with Outlier Alex) = Mean of $3^{rd}$ and $4^{th}$ values.
Median of the data(with Outlier Alex) $=\frac{2+3}{2}=\frac{5}{2}$
Median of the data(with Outlier Alex) $=2.5$

Mode of the data(with Outlier Alex) $=2$ and $3$ (since $2$ and $3$ are occuring two times in the data). The given data is "Bi-modal".