Question

A set of numbers consists of three 4’s, five 5’s, six 6’s, eight 8’s and seven 10’s. The mode of this set of numbers is
A. More than 5
B. More than 5 but less than 10
C. 8
D. None

Answer 1

Hint: In this problem, we need to find the number that appears most often in the set. First, write down the given set of data in orders. Next, count how many of each number. The most often appearing number will be the mode of the given set of data.

Complete step by step solution:
The given set of data are shown below.
\[{\text{Data}} = \left\{ {\underline {4,4,4} ,\underline {5,5,5,5,5} ,\underline {6,6,6,6,6,6} ,\underline {8,8,8,8,8,8,8,8} ,\underline {10,10,10,10,10,10,10} } \right\}\]
Now, the mode of the above set of data is obtained as follows:
\[
  \,\,\,\,\,\,\,{\text{Mode = most occuring number in a set}} \\
   \Rightarrow {\text{Mode = 8}} \\
\]

Thus, the mode of the given set of numbers is 8.

Note: Mode is the most occurring number in as set. To find the mode of a given set of data, it is best to arrange the number in order and then count the number of times of appearance of each number. The mode is the most often appearing number.