Question

Given the following data set 60,70,74,78,80,80,80,84,94,100 The first quartile (25th percentile) of the data is 1....

  1. Given the following data set

    60,70,74,78,80,80,80,84,94,100

    The first quartile (25th percentile) of the data is

    1.

    60.0

    2.

    73.0

    3.

    70.0

    4.

    75.0

Homework Answers

Answer #1
Serial No (N) X
1 60
2 70
3 74
4 78
5 80
6 80
7 80
8 84
9 94
10 100
the first quartile (Q1) =(N+1/4) th observation
N=10
Q1 = (10+1/4)th item
Q1 = 2.75 th item
Q1 = size of 2nd item + size of 0.75 th item(3rd item - 2nd item)
Q1 = 70 + 0.75(74 - 70)
Q1 = 70 + 3
Q1 = 73
the first quartile (25%) of the data is 73
Answer: Option 2: 73
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