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A certain sample data has mean 20 and standard deviation 2. What is th
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20 Jul 2023, 02:52
20 Jul 2023, 02:52
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A certain sample data has mean 20 and standard deviation 2. What is the difference between two values, one of which is exactly two standard deviation more than the mean and other which is exactly one standard deviation less than mean?
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Post A Detailed Correct Solution For The Above Questions And Get Kudos.
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Re: A certain sample data has mean 20 and standard deviation 2. What is th
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22 Jul 2023, 08:31
22 Jul 2023, 08:31
Please provide solution
Re: A certain sample data has mean 20 and standard deviation 2. What is th
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22 Jul 2023, 11:44
22 Jul 2023, 11:44
1
1
Expert Reply
OE
It is given that mean is 20 i.e. 𝑀 = 20
Standard deviation is 2 i.e. 𝐷 = 2
The value which is two standard deviation more than the mean,
i.e. value is 𝑀 + 2𝐷 = 20 + 4 = 24
Other value which is one standard deviation less than the mean,
i.e. value is 𝑀 – 𝐷 = 20 – 2 = 18
Difference between two values is = 24 – 18 = 6
Ans. (6)
It is given that mean is 20 i.e. 𝑀 = 20
Standard deviation is 2 i.e. 𝐷 = 2
The value which is two standard deviation more than the mean,
i.e. value is 𝑀 + 2𝐷 = 20 + 4 = 24
Other value which is one standard deviation less than the mean,
i.e. value is 𝑀 – 𝐷 = 20 – 2 = 18
Difference between two values is = 24 – 18 = 6
Ans. (6)
