Question

Question 30 (6 points) Find the indicated measure. Use the given sample data to find Q3. 49525252 74 67 55 55 O 1) 67.0 2) 6.0 3) 55.0 4) 61.0

Answer 1

Solution:

We have to find Q₃.

We are given

Sample size = n = 8

We know that 75% of the values are below Q₃ and 25% of the values are above the Q₃.

So, when data is given in an increasing order, then 8*0.75 = 6^th value represents Q₃.

Data in an increasing order is given as below:

X
49
52
52
52
55
55
67
74

The number 6^th observation is 55.

So, Q₃ = 55

Answer: 3) 55.0