3. 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
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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martin58853 martin58853 · Answer 1 · 2020-08-28T03:07:51+02:00

Answer:

Mean = $123.8

Range= $72

Variance= $607.344

Standard deviation=$ 24.64

Step by step explanation:

The list of the data of electricity bill on ascending order

$88,$90,$90,$95,$110,$115,$120,$126,$144,$150

Mean = (summation of($88,$90,$90,$95,$110,$115,$120,$126,$144,$150))/10

Mean = 1238/10

Mean = $123.8

Range= highest value- Lowest VA

Range= 150-88

Range= $72

Variance=( (88-123.8)²+(90-123.8)²+(90-123.8)²+(95-123.8)²+(110-123.8)²+(115-123.8)²+(120-123.8)²+(126-123.8)²+(144-123.8)²+(150-123.8)²)/10

Variance= (1281.64+1142.44+1142.44+829.44+190.44+77.44+14.44+4.84+295.84+408.04+686.44)/10

Variance= 6073.44/10

Variance=$ 607.344

Standard deviation= √variance

Standard deviation= √ 607.344

Standard deviation=$ 24.64