Using it's concepts, the statistical measures for the monthly bills are given as follows:
a. Mean: $112.8.
b. Range: $62.
c. Variance: 456.76$².
d. Standard deviation: $21.37.
What is the mean of a data-set?
The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.
Hence, for this data-set, the mean is:
(115 + 150 + 144 + 126 + 90 + 90 + 95 + 110 + 120 + 88)/10 = $112.8.
What is the range of a data-set?
The range of a data-set is given by the difference of the largest value by the smallest value.
Hence:
150 - 88 = $62.
What is the variance of a data-set?
The variance of a data-set is given by the sum of the differences squared between each value and the mean, divided by the number of values.
Hence:
V(x) = 0.1[(115-112.8)² + (150-112.8)² + (144-112.8)² + (126-112.8)² + (90-112.8)² + (90-112.8)² + (95-112.8)² + (110-112.8)² + (120-112.8)² + (88-112.8)²] = 456.76$².
What is the standard deviation of a data-set?
The standard deviation of a data-set is the square root of the variance.
Hence:
S(x) = sqrt(456.76) = $21.37.
More can be learned about statistical measures at https://brainly.com/question/24732674
#SPJ1
