If the mean of
The
6.
A) 3
If a
Marks of 12 students in a unit test are given as 4, 21, 13, 17, 5, 9, 10, 20, 19, 12, 20
14. Assume a mean and calculate the arithmetic mean of the data. Assume another 6.
number as mean and calculate the arithmetic mean again. Do you get the same
result?
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0
Answer:
Let assumed mean be 13
∴ Arithmetic mean =13+
⎣
⎢
⎢
⎢
⎢
⎡
12
(4−13)+(21−13)+(13−13)+(17−13)+(5−13)+(9−13)+
(10−13)+(20−13)+(19−13)+(12−13)+(20−13)+(14−13)
⎦
⎥
⎥
⎥
⎥
⎤
=13+
12
8
=13+0.67
=13.67
Now let assumed mean be 14
∴ Arithmetic mean =14+
⎣
⎢
⎢
⎢
⎢
⎡
14
(4−14)+(21−14)+(13−14)+(17−14)+(5−14)+(9−14)+
(10−14)+(20−14)+(19−14)+(12−14)+(20−14)+(14−14)
⎦
⎥
⎥
⎥
⎥
⎤
=14+[
12
−4
]=13.67
Yes, 9 got the same result.
Step-by-step explanation:
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