Question

Find the third quartile Q3 of the list of 24 sorted values shown below.

31 36 39 43 43 48 48 52 55 57 58 58 59 61 63 63 64 64 68 70 73 77 78 78 31 36 39 43 43 48 48 52 55 57 58 58 59 61 63 63 64 64 68 70 73 77 78 78

Answer 1

The Q3, is the third quartile value of any data set which is also the 75th percentile of the data set is calculated at the median of the 2nd half of the data value.

Since the Data set 31 36 39 43 43 48 48 52 55 57 58 58 59 61 63 63 64 64 68 70 73 77 78 78. is already sorted in ascending order hence the thired quartile lies between 18th and 19th value of the data set which is :

64, 68

Hence the Q3 is calculated as (64+68)/2=66