The mean of 11 obervation is found to be 35. Each observation is then changed to 15 less than 4 times the original observation . What is the mean of new observation
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Mean = 35
No. of observations = 11
Sum of observations = 11×35 = 385
Let the observations be x1, x2, .... , x11
Therefore, new mean = 4x1 - 15, 4x2 - 15, ...... , 4x11- 15 / 11
=> 4(x1, x2,.....x11) - 11(15)/11
We took 4 and -15 common
=> 4(385) -11(15) / 11
=>1540 - 165 / 11
=>1325 / 11
=>125
Therefore, new mean = 125
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Answer:
the final answer is 125
thank you:))
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