# An electric bill is an essential expense for young people who get their first apartment. The following is a list of Jordan’s month

Question

An electric bill is an essential expense for young people who get their first apartment. The following is a list of Jordan’s monthly electric bills for the
past 10 months.
\$115, \$150, \$144, \$126, \$90, \$90, \$95, \$110, \$120, \$88
112.
a. What is the mean monthly electric bill?
b. What is the range?

c. What is the variance?
d. What is the standard deviation?

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1 month 2022-12-30T10:39:59+00:00 1 Answer 0 views 0

1. 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
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