The monthly utility bills for a household in Riverside, California, were recorde

Question

The monthly utility bills for a household in Riverside, California, were recorded for 12 consecutive months starting in January 2010.

(a) Calculate the range of the utility bills for the year 2010. (Enter your answer to two decimal places.)
$  

(b) Calculate the average monthly utility bill for the year 2010. (Round your answer to two decimal places.)
$  

(c) Calculate the standard deviation for the 2010 utility bills. (Round your answer to two decimal places.)
$

Month Amount ($) Month Amount ($) January 288.02 July 311.13 February 230.70 August 370.23 March 216.77 September 368.51 April 243.74 October 301.83 May 236.97 November 271.93 June 288.48 December 298.12

Explanation / Answer

(a)

Range = max - min = 153.46

(b)

Average = (sum of bills for all months)/12 = 3426.43/12 = 285.54

(c)

xbar = mean = average = 285.54

std. dev. = sqrt(sum/12) = sqrt(27177.94/12) = 47.59

min 216.77 max 370.23

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