Question-11: Why do you find the average values from the data?

Answer: To find or check what exactly is the typical values in the data.

Question-12: What exactly is the mode?

Answer: Mode is another type of average, which you can use to find the most frequent data from the dataset e.g.

                11 11 11 12 12 12 12 12 12 31 31 14 14 14 14

Hence, 12 and 13 both are the mode values in the given dataset.

Question-13: Is it possible that means and median values may not exist in your dataset?

Answer: Let’s take below dataset

                1 1 2 2 3 4 7

                = 20/7 = 2.857

As 2.857 value is not from the dataset, but this still a mean value for given dataset.

Similarly, let’s take below dataset

                2 2 4 4

Median = 2+4/2 =3 (This is also not in the dataset).

Hence, it is possible that mean and median may not exist in the given dataset.

Mode: In case of mode, average value would always be from the given dataset.

Question-14: You have been given following information; how do you find the average value?

 5 Apple, 9 Banana, 7 Oranges, 6 Lemon

Answer: Here Banana is most frequently used, so we can say Banana is an average fruit from the given collection. It seems surprise, but statistically it is a correct answer. That’s is the reason we use different averages understand the data.

Even sometime other than average, we check other statistical method as well.

Question-15: In previous question (12) we have seen there were two modes (most frequently occurring the data), 12 & 14. Do you see it is ok?

Answer: Yes, that is find. Data can have more than one mode values. If there are two modes then we can say its binomial value.