Question-21:  For what kind of data median is helpful?

Answer: When in our data there are outliers or data is skewed the use the median. Median minimizes the effect of outliers.

Question-22: What is the effect of skewed data on mean values?

Answer: If data is skewed it can either bring down the mean value or increased the mean value. Hence, you need to select proper statistics method to represent the data based on the values in dataset while analyzing your data.

Question-23: Why do you need to find ranges and variations in your data?

Answer:  Usually to check the typical values in given dataset we use the averages. But it is not enough when we need to find minimum and maximum values in a numerical dataset. For that range and variations can help.

Question-24: You need to select a cricket player, out of all player 3 have the same average score. How can you choose efficient player out of these three, if you have been given their recent 5 matches score as below?

Player-1: 50, 55, 45, 40, 60

Player-2: 100, 100, 5, 10, 5

Player-3: 20, 20, 20, 20, 170

Answer: Now looking at the score you may choose Player-2, but this may not be correct because player-2 is not consistent and may score 5 runs on an important match. But player-1 is more consistent, he usually scores around 50 runs and his probability is high to score around 50 runs on an important match.

Question-25: Why do you say player-1 is more consistent?

Answer: We know all 3 players has same mean value which is 50. However, mean is giving only part of the picture. But data varies differently in each case.

By finding the upper and lower value we can see the range in the data.

                Player-1: 40 & 60 Range= 60-40=20

                Player-2: 5 & 100 Range = 100-5 =95

                Player-3: 20, 170 Range = 170-20 =150

Range helps in finding; how much data is spreading. Range is one method to find. How much width data is having? However, still this may not give clear picture, because range can also be affected by outliers.