Answer:
Quartile 1 is 28
Step-by-step explanation:
We are given aa data set
23, 28, 28, 36, 56, 60, 61, 65, 70
We have to calculate the I quartile
The data is arranged already in ascending order
Median is the middle entry = 5th entry = 56
Q1 = I quartile = median of the 5 entries
= 3rd entry
=28
Hence answer is
Q1 =28
Answer: [tex]Q_1=28[/tex]
Step-by-step explanation:
Given data :-{23, 28, 28, 36, 56, 60, 61, 65, 70}
The number of observations n =9
We know that the position of median is given by :-
[tex]Q_1=\frac{n+1}{4}^{th}\text{ item}[/tex]
Now, for n=9,
[tex]Q_1=\frac{9+1}{4}^{th}\text{ item}=\frac{10}{4}^{th}\text{ item}=2.5^{th}\text{ item}\\\\=2^{th}\text{ item}+0.5(3^{th}\text{ item}-2^{th}\text{ item})\\\\=28+0.5(28-28)\\\\=28+0.5(0)=28\\\\\Rightarrow\ Q_1=28[/tex]
