Calculate the mean and the standard deviation from the following data:
52,50,56,68,65,62,57,70,50,70
Answers
Answered by
6
Mean is 60
standard deviation is 7.6
find mean using formula total sum of number/ how many numbers
then standard deviation
mean is 60
now minus 60 from every number
52-60 = -8² = 64
50-60 = -10² = 100
56-60 = -4² = 16
68-60 = 8² = 64
65-60 = 5² = 25
62-60 = 2² = 4
57-60 = -3² = 9
70-60 = 10² = 100
50-60 = -10² = 100
70-60 = 10² = 100
then total all the number
we get 582
now we divide again with how many number are there
= 582/10
= 58.2
for finding standard deviation
now √58.2 = 7.62
answer complete
standard deviation is 7.6
find mean using formula total sum of number/ how many numbers
then standard deviation
mean is 60
now minus 60 from every number
52-60 = -8² = 64
50-60 = -10² = 100
56-60 = -4² = 16
68-60 = 8² = 64
65-60 = 5² = 25
62-60 = 2² = 4
57-60 = -3² = 9
70-60 = 10² = 100
50-60 = -10² = 100
70-60 = 10² = 100
then total all the number
we get 582
now we divide again with how many number are there
= 582/10
= 58.2
for finding standard deviation
now √58.2 = 7.62
answer complete
shiprachandra:
Explain how
explain how
but answer is correct
Are you sure?
plz tell the answer is correct
i m asking the mean is correcy
correct*
the method is also for finding standard deviation is correct
Answered by
4
Here's image which clearly states the solution
Mean is 60
Standard deviation is 7.6288
Hope it helps
Mean is 60
Standard deviation is 7.6288
Hope it helps
Attachments:
The user should say what they need
Population or sample
There are two different formulas for each
she have to specify
Ikr
So yours is correct. I'm not saying u r wrong. I'm just saying they should specify. But normally standard deviation is taken as for population so yours is cool
hey no problem
It's difficult to do without calculator tho. For such large numbers
i advise you to delete abhileo's answer and add yours too
so that shipra can understand both methods
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