The mean of 10 observations is 10. One more observation is included and the new mean becomes 11. The 11th observation is?
Answers
Answer:21
Step-by-step explanation:Mean of 11 observations-Mean of 10 observations
=11th observation
=11 ×11 -10×10
=21
The 11th observation is 21
Given:
The mean of 10 observations is 10. One more observation is included and the new mean becomes 11
To find:
The 11th observation is?
Solution:
Formula used:
Mean of a data = [ Sum of observation ]/ [No of observations]
Sum of observations = [Mean of a data] × [No of observations]
Given that mean of 10 observations is 10
By the given formula,
Sum of 10 observation = 10 × 10 = 100
Let 'x' be the 11th observation
=> Sum of 11 observations = 100 + x
=> Mean of 11 observations = (100 + x)/11
Given that mean of 11 observations = 11
=> (100 + x)/11 = 11
=> 100 + x = 121
=> x = 121 - 100
=> x = 21
Therefore,
The 11th observation is 21
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