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.
Round your answers to the nearest cent.
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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Ngọc Diệp 1 month 2022-12-30T10:39:59+00:00 1 Answer 0 views 0

Answer ( 1 )

    0
    2022-12-30T10:41:36+00:00
    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

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