Question

Find the mean and mode x 4 6 9 10 15 f 5 10 10 7 8

Answer 1

Mean = 8

Mode = 6 and 9 (Bi-modal)

Step-by-step explanation:

We are given the following frequency distribution data below;

         X                      Frequency (f)                   $X \times f$

         4                                5                                20

         6                               10                                60

         9                               10                                90

        10                               7                                  70

        15                               8                                80        

                                   $\sum f$ = 40              $\sum X \times f$ = 320  

Now, the mean of the frequency distribution is given by the following formula;

               Mean =  $\frac{\sum X \times f}{\sum f}$

                          =  $\frac{320}{40}$ = 8

So, the mean of the data given is 8.

Now, Mode tells us the value which appears the maximum number of times in our data or the most repeated value.

After seeing the data it is clear the highest frequency is represented by two numbers 6 and 9. That means that this data has two mode so this data is Bi-modal as it has two modes 6 and 9.

Therefore, the mean of the data is 8 and mode is 6 & 9.