a) Calculate the standard deviation and variance from the following da

Question

a) Calculate the standard deviation and variance from the following data:

x	10	12	14	16	18	20	22
f`	3	5	9	16	8	7	2

22 Apr 2024

Answer :

Word Count : 450

To calculate the standard deviation and variance from the given data, we need to follow these steps:

Given data:
x (Values): 10, 12, 14, 16, 18, 20, 22
f (Frequencies): 3, 5, 9, 16, 8, 7, 2

Step 1: Calculate the sum of all the frequency values (∑f).
∑f = 3 + 5 + 9 + 16 + 8 + 7 + 2 = 50

Step 2: Calculate the mean (x̄) using __________ ___ ___ ________ __________ _________ ____ __________ _______ ________.
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