Answer: it’s -1/4
Step-by-step explanation:
A) What is the mean of : 18, 22, 14, 30, 26
x = (18 +22+ 14+ 30+ 26)/5 = 22
(b) What is the sum of the squares of the differences between each data value and the
mean: (data point - x)² or (data point - 22)²
(18-22)² = 16
(22-22)² = 0
(14-22)² = 64
(30-22)² = 64
(26-22)² = 16
Sum = 16+0+64+64+16 = 160
(c) What is the standard deviation
s = √[(∑(x-22)²/(n-1)], where x is the data point, 20 the mean and n =5
√[(∑(x-22)² = 160 and n = 5 (5 data points) then s = 160(5-1) = 160/4 = 40
d) 32, 35, 33, 34, and 36
Rewrite it from smaller to greater:
32, 34, 34, 35 36.
We notice that the range is from 32 to 36 is only 4 (36-32), Where as the range of the
1st pumpkins is 30-14 = 16
Since the spread of the 1st one is by far larger than the 2nd, we can conclude that the
standard deviation of the 1st is greater than the second
