Question-31: What do you mean by interquartile range?
Answer: Inter quartile range can be calculated as
IQR = UQ – LQ
= Upper Quartile – Lower Quartile
= 5 -2
= 3
Question-32: Suppose you have total 6 values as below.
1 1 2 2 3 3
How would you get the value for upper and lower quartile?
Answer: We have to use following formula
n/4 for the lower quartile
3n/4 for upper quartile
n/4 = 6/4 =1.5
We need to round it up so that we can get position for lower quartile, which is 2.
Similarly, for upper quartile
3X6/4 = 4.5 = 5
Hence, 5th is the position for upper quartile.
Hence, quartile consider around 50% of the data, in this case between 2nd and 5th
Question-33: In IQR we consider only 50% of the data to calculate the range. But I want to consider 80% of the data to calculate range. How can you do that?
Answer: Lets divide data into 10 equal parts, and calculate range between upper and lower deciles. And calculate the IQR between first and 9th deciles.
Question-34: Which plot you can use to visualize the range and IQR?
Answer: Box plot or Box and whisker diagram can help you to plot range and IQR data as well as median.
Question-35: In a box plot, in the box we draw a line. What that represent?
Answer: In a box plot we have a box where left side represent lower quartile and right side represent upper quartile and line in the box represent median value.
Whisker can help us in finding how much data is skewed.
Question-36: What do you mean by lower and higher range or IQR?
Answer: Suppose we have range of two cricket player score. And range of score is high then this player is not consistent. Sometime he scores high or sometime low.
But if range is low then player performance is consistent and score almost same in each match.
It is possible that person with high range could not be able to perform better on final match. Again how much score varies is not clearly found.
