Question

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

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