Question

Find the mean, median and mode of the data set. 12, 18, 14, 13, 12, 13, 6, 15, 5

Answer 1

Answer:

Mean = 12

Median = 13

Mode = 12 & 13 (Bi-modal)

Step-by-step explanation:

Arranging the given data set in ascending order, we get;

 5, 6, 12, 12, 13, 13, 14, 15, 18

• Mean of data set = Sum of all values ÷ No. of observations

                                     = $\frac{5+ 6+ 12+ 12+ 13+ 13+ 14+ 15+ 18}{9}$ = $\frac{108}{9}$ = 12

• Median is given by;

        Firstly we will check the no. of observations in our data set, i.e. n = 9

        since, n is odd so median is given by;

        Median = $(\frac{n+1}{2} )^{th} obs$ = 5th obs = 13  

• Mode is the number which appears maximum times in our data set. As we can see that there are two values in our data set which appear to be maximum times i.e. 12 and 13 (appearing 2 times each) .

       so, we can say that our data set is Bi-modal as it has two mode 12 & 13 .