Use the standard deviation to identify any outliers in the given data set. {25, 22, 21, 26, 37, 24, 26, 22}

Answer 1

25,22,21, 26, 37, 24, 26, 22 have an immediately suspected outlier of 37. It's 11 higher than the nearest other data point, far higher than any other data point

the 8 numbers have a mean = 25.375

without the 37, the mean of 7 numbers is 166/7 = 23 5/7

with 37

the standard deviation = sqr(11512/64)7 = 1.916

25 < 1 standard deviation from the mean

22 < 2

21 >2 but <3

26 <1

37 > 3

24 <1

26<1

22 <2

37 aand 22 are candidates for outliers

37 definitely, 21 maybe

they are the two data points farthest from the mean