Question

if two samples of sizes 30 and 20 have means as 55 and 60 and variance 16 and 25 respectively then what would be the sd of the combined sample size of 50​

Answer 1

4.43

Step-by-step explanation:

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Mathematics

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Question:

If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample of size 50?

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Options:

5.00

5.06

5.23

None of these

Correct Answer: Option 4 (Solution Below)

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Solution:

Given:

Two samples of sizes n1= 30 and n2 = 20 have means as 55 and 60 and variances as = 16 and = 25 respectively

To Find: S.D. of the combined sample of size 50

Solution:

=

=

= 4.43