Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2
(All of the above are rounded off to one decimal place)
How to find mean, median, mode ?
The given data are : 20, 22, 26, 27, 30, 31, 35, 35
We know that, mean = (sum of samples)/(no. of samples)
= (20+22+26+27+30+31+35+35)/8
= 226/8 = 28.25 = 28.3 (approx)
Here, median = (sum of 4th & 5th sample)/2
= (27+30)/2 = 57/2 = 28.5
Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35
What is the required standard deviation ?
Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8
= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8
= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)
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