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The mean and standard deviation of a set of 16 non-zero positive numbers in an observation are 26 and 3.5 respectively. The mean and standard deviation of another set of 24 non-zero positive numbers without changing the circumstances of both sets of observations, are 29 and 3, respectively. The mean and standard deviation of their combined set of observations will respectively be
27.8 and 3.21
26.2 and 3.32 ·
27.8 and 3.52
26.2 and 3.21
To calculate the mean of the combined set:
- Set 1:
- Mean = 26, Count = 16
- Sum = 26 * 16 = 416
- Set 2:
- Mean = 29, Count = 24
- Sum = 29 * 24 = 696
- Combined Set:
- Total Count = 16 + 24 = 40
- Total Sum = 416 + 696 = 1112
- Combined Mean = 1112 / 40 = 27.8
Correct Answer: Option:3 i.e. 27.8 and 3.52
By: Udit Singla ProfileResourcesReport error
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