Question

The wickets taken by a bowler in $10$ cricket matches are as follows:
$\begin{array}{*{20}{l}}
  2&6&4&5&0&2&1&3&2&3
\end{array}$
Find the mode of the data.

Answer 1

Hint: From the question, we have to find the mode from the given data. It is very simple to find the mode from the ungrouped data. First, we have to know how to find the mode from the data.
For ungrouped data, the observation that occurs the most will be the mode of the observation. With frequency distribution, the observation with highest frequency will be the modal observation.
Mode is often said to be that value in a series which occurs most frequently or which has the greatest frequency. But it is not exactly true for every frequency distribution.

Complete step-by-step solution:
From the given data, we have to find the mode by the following way.
Here, the mode of the given data is $2$. Because it occurs $3$ times in the given data and the other values do not occur so often.
Even though $3$ occurs two times, it is not a mode, since $2$ occurs three times.

$\therefore $ The mode of the data is $2$ and it is tri-modal (since $2$ occurs three times).

Note: A set of numbers with two nodes is bi-modal, a set of three modes is tri-modal, and any set of numbers with more than one modal is multi-model. The set has no mode where the set of numbers occurs no more than once.
 In statistics, the mode is the most commonly observed value in a set of data. For the normal distribution, the mode is also the same value as the mean and median. In many cases, the modal value will differ from the average value in the data.