Question

1. The boxplot for 1000 observations is given below. 23_ 16 2 4 Less than 250 aumbers are larger than (a) 10 (b) 11 (c) 14 (d) 20 (e) 23

Answer 1

Answer

we have 1000 observations, so we can say that we have exactly 250 below lower quartile, 250 between lower quartile and median, 250 between median and upper quartile and 250 above upper quartile

minimum value = 4

lower quartile = 9

median = 11

upper quartile = 16

maximum value = 23

So, we can see that upper quartile value is 16, this means that 250 observations are greater than 16

or we can say that there are exactly 250 observations between 16 and 23

If we consider 20 on box plot, then it is somewhere between 16 and 23. This means less than 250 observations will be there between 20 and 23 because some observations will fall within 16 and 20 range.

So, correct answer is option D