The mean of 159 observations is 89, find the sum of the observations.
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Answer:
The correct mean is 85.4
Step-by-step explanation:
Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}Average=
No. of observations
Sum of all observations
The mean of five observation is 89
\begin{gathered}89 = \frac{\text{Sum of 5 observations}}{5} \\89 \times 5 =\text{Sum of 5 observations} \\445=\text{Sum of 5 observations}\end{gathered}
89=
5
Sum of 5 observations
89×5=Sum of 5 observations
445=Sum of 5 observations
One of the observation is wrongly taken out as 42 in a state of 24.
New sum = 445-42+24=427
\text{New mean} = \frac{427}{5}New mean=
5
427
New mean = 85.4
Hence The correct mean is 85.4
Step-by-step explanation:
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