Question

Find first quartile for variable with observations 15,4,7,20,2,7,13​

Answer 1

Answer:

4

Step-by-step explanation:

n=7, p=0.25

np= 7*0.25 =1.75

that is X[2]

first quartile Q1=4

Answer 2

Given :- Find first quartile for variable with observations 15,4,7,20,2,7,13 ?

Solution :-

First, we write data in increasing order :- 2, 4 , 7, 7 , 13, 15, 20 .

→ Total observation = 7 .

So,

→ Median = {(n + 1) / 2}th observation = (7 + 1)/2 = 8/2 = 4th observation = 7 .

then,

• Lower half = 2, 4 and 7
• Median = 7 .
• Upper half = 13, 15 and 20 .

Therefore,

• The first quartile, Q1, is the median of Lower half = 2 , 4 and 7 .

So,

→ Median of Lower half = {(n + 1) / 2}th observation = (3 + 1)/2 = (4/2) = 2nd observation = 4 .

Hence, first quartile(Q1) for variable with given observations is 4.

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