the mean of monthly salary of the 12 employees of a firm is Rs 1450 .if one more person joins the firm who gets Rs 1600 per month ,what will be the mean monthly salary now
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Answered by
3
Let the salaries of 12 employees be
x1,x2,x3.....x12
Mean = (x1+x2+...+x12)/12
1450 = (x1+...+x12)/12
x1+x2+....+x12 = 17400
New mean
= (x1+x2+....+x12+1600)/13
= (17400+1600)/13
= 19000/13
= 1461.53
=======================
x1,x2,x3.....x12
Mean = (x1+x2+...+x12)/12
1450 = (x1+...+x12)/12
x1+x2+....+x12 = 17400
New mean
= (x1+x2+....+x12+1600)/13
= (17400+1600)/13
= 19000/13
= 1461.53
=======================
Answered by
5
Mean = Sum of all observations / No: of observations
∴ Sum of all observations = No: of observations × Mean
No: of observations = 12
Mean = 1450
Sum of all observations = 12 × 1450 = 17400
⇒If one more person is added ,
No: of observations = 13
Sum of all observation = 17400 + 1600 = 19000
⇒ New mean = Sum of all observations / No: of observations
= 19000 ÷ 13 = 1461.53846
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∴ Sum of all observations = No: of observations × Mean
No: of observations = 12
Mean = 1450
Sum of all observations = 12 × 1450 = 17400
⇒If one more person is added ,
No: of observations = 13
Sum of all observation = 17400 + 1600 = 19000
⇒ New mean = Sum of all observations / No: of observations
= 19000 ÷ 13 = 1461.53846
Please mark as brainliest ..
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