weight of 12 persons are given below weight in kg are 67 ,70,x,73,75
no. of persons 4,3,2,2,1
if the mean weight is 70.25 kg find the value of x?
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Answer:
The mean weight of the data is equal to '70.25' .
Step-by-step explanation:
The given table:
Weight(kg) 67 70 72 73 75
Number of students(f) 4 3 2 2 1
To find, the mean weight of the data = ?
We know that,
Mean = \dfrac{f_{1}x_{1}+f_{2}x_{2}+ f_{3}x_{3}+..... }{f_{1}+f_{2}+ f_{3}+..... }
f
1
+f
2
+f
3
+.....
f
1
x
1
+f
2
x
2
+f
3
x
3
+.....
=\dfrac{4\times 67+3\times70+2\times 72+2\times 73+1\times 75}{4+3+2+2+1}=
4+3+2+2+1
4×67+3×70+2×72+2×73+1×75
=\dfrac{268+210+144+146+75}{12}=
12
268+210+144+146+75
= \dfrac{843}{12}=
12
843
= 70.25
∴ The mean weight of the data = 70.25
Thus, the mean weight of the data is equal to 70.25 .
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