Calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18.

Solution:

Given, the data is 1, 2, 4, 5, 10, 12, 18.

We have to find the interquartile range from the given data.

Mathematically, the quartiles are represented as follows,

1.First Quartile(Q1) = ((n + 1)/4)^th Term

2. Second Quartile(Q2) = ((n + 1)/2)^th Term

3. Third Quartile(Q3) = (3(n + 1)/4)^th Term

Now, arrange the data in ascending order.

1, 2, 4, 5, 10, 12, 18

Here, n = 7

1) Q1 = [(7 + 1)/4]th term

= 8/4

= 2^nd term

Q1 = 2

2) Q3 = [3(7 + 1)/4]^th term

= [3(8)/4]

= 3(2)

= 6 ^th term

Q3 = 12

Interquartile range = Q3 - Q1

= 12 - 2

= 10

Therefore, the interquartile range is 10.

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Calculate the interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18.

Summary:

The interquartile range from the following data: 1, 2, 4, 5, 10, 12, 18 is 10.