Question

Find the five-number summary for the given data. Min Q1 Q2 Q3 Max

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

Answer 1

Answer with Step-by-step explanation:

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

the data is already arranged in ascending order

Min=16

Max=84

The quartiles for the odd set of data is given by

$Qi=\dfrac{i(n+1)}{4}\ th\ term$

where n is the number of elements

Here, n=23

$Q1=\dfrac{(23+1)}{4}\ th\ term$

Q1=6 th term

Q1=29

Q2=12 th term

Q2=41

Q3=18 th term

Q3=60

Hence, five-number summary for the given data is:

Min  Q1   Q2   Q3   Max

16     29   41     60    84