Question

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 number as
mean and calculate the arithmetic mean again. Do you get the same result? Comment
plz answer​

Answer 1

Answer:

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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