the mean marks of 10 students in a class is 70. the students are divided into 2 groups of 6 and 4 respectively. if the mean marks of first group is 60, what will be the mean marks of the second group.
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Answer:
Mean marks of the second group in 85
Step-by-step explanation:
There are 10 students
Their mean marks is 70 (Xₓ)
∑Xi / n = 70
∑Xi = 700
these 10 students divided in to 2 groups of 6 and 4 respectively
1st group
Students - 6 (m)
mean mark is 60 (X1)
2nd group
Students - 4 (n)
mean mark - X2
Combined Mean
Xₓ = {m.X1 + n.X2} / m+n
70 = {6.60 + 4(X2)} / 10
700 = 360 + 4*X2
4*X2 = 340
X2 = 85
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