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 calucate the arthematic mean of the data assume another number as mean and caucalate the arthematic mean again do you get the same result ? comment
Answers
Answer:
13.66666667
Step-by-step explanation:
4+21+13+17+5+9+10+20+19+12+20+14=164
Arthematic mean =sum of numbers\no.of numbers
164÷12=13.66666667
This is solution of this problem
Step-by-step explanation:
Let assumed mean be 13
∴ Arithmetic mean = 13+
[ (4−13)+(21−13)+(13−13)+(17−13)+(5−13)+(9−13)+
(10−13)+(20−13)+(19−13)+(12−13)+(20−13)+(14−13)]
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12
= 13+8\12. note:bothfraction
=13+0.67. will be in [ ] this
=13.67 bracket.
Now let assumed mean be 14
∴ Arithmetic mean =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)
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14
=14+[ -4\12]
=13.67
hope it helps