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RRB Assistant Loco Pilot and Technician Model Paper 3 with solutions
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© examsnet.com
Question : 10
Total: 100
he mean of 100 values is 45. If 15 is added to each of the first forty values and 5 is subtracted from each of the remaining sixty values, the new mean becomes
45
48
51
55
Validate
Solution:
(b) Given that, mean of 100 values is 45
∴ Sum of 100 values, i.e.
100
∑
i
=
1
x
= 45 × 100 = 4500
According to condition,
40
∑
i
=
1
(
x
i
+
15
)
+
100
∑
i
=
41
(
x
i
−
5
)
=
40
∑
i
=
1
x
i
+
15
×
40
+
100
∑
i
=
41
x
i
−
5
×
60
=
(
40
∑
i
=
1
x
i
+
100
∑
i
=
41
x
i
)
+
600
−
300
=
100
∑
i
=
1
x
i
+
300
= 4500 + 300 = 4800 [from equation (i)]
∴ New mean =
4800
100
= 48
© examsnet.com
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