ordered sample :
51 56 57 58 64 65 68 69 71 71 75 75 76 76 79 82 82 83 83 85 86 86 88 90 91 92 94 96
smallest value: 51
largest value: 96
range = 96 - 51 = 45
sample size: 28
7th smallest sample element: 68 (6th from the bottom)
21st largest 86: (6th from the top)
IQR : 86 - 68 = 18
mean: 60 median: 56.5 mode: 56 range: [48,75]
z = (x - mean_x)/standard_deviation → z = (51 - 57)/3.5 = -1.71 Being negative, it shows it is less than the mean; only the absolute value needs to be considered Looking up z = 1.71 in normal tables gives a value of 0.4564 which is the probability that the value lies between 51 and 57, so the probability of it being less than 51 is 0.5 - 0.4564 = 0.0436 = 4.36 % The probability of getting less than 51 mpg is approx 4.36 %
The range is 37. (62 - 25 = 37)
Subract the smallest number from the largest number. Example: 2,6,8,13,57 57-2= 55 The range is 55
50,51,53,54,54,57,56,56,56,56,56,57
Mean = 61.857142... Median = 57 Mode = 56 Range = 27
53
68 - 47.5 = 20.5
52+54+56 = 162
Mean: 60 Median: 56.5 Mode: 56 Range: 28
mean: 60 median: 56.5 mode: 56 range: [48,75]
52, 54, 55, 56, 57, 58
Range: 24 Median: 59.5 Mode: 57, 61, 58, 54, 68, 51, 65, 75
Half of 51/57 = 51/(57*2) = 51/114 = 0.4474 approx.
53 is the only prime listed. 1,2,4,7,8,14,23,56 1,3,19,57 1,3,17,51
31.92 is 57% of 56.
51 + 57 = 108