IGNOU MTE 11 2018 - For the following data x 0

Question

For the following data

x	0	1	2	3	4	5	6	7	8
f	1	9	26	59	72	52	29	7	1

Calculate the quartiles Q₁ ,Q₂ and Q₃.

14 Feb 2018

Answer :

Word Count : 538

To calculate the quartiles \( Q_1 \), \( Q_2 \), and \( Q_3 \), we need to first organize the data and then compute the positions of the quartiles in the ordered dataset. From the table, the values of \( x \) (which is the independent variable) and \( f \) (which represents the frequency of each \( x \)) are given. The \( f \)-values indicate the frequency of the corresponding \( x \)-values. ### Data: - \( x \): 0, 1, 2, 3, 4, 5, 6, 7, 8 - \( f \): 1, 9, 26, 59, 72, 52, 29, 7, 1 ### Step 1: Create the Cumulative Frequency Distribution To find the quartiles, we need to first calculate the cumulative frequency. We do this by adding the

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