A simple random sample of homes from a particular town was obtained. Listed belo

Question

A simple random sample of homes from a particular town was obtained. Listed below are the number of kilowatt hours (KwH) of electricity use last Monday for these homes. Find (a) mean, (b) median, (c) mode, and (d) midrange for the given sample. 39 36 31 27 22 78 22 30 45 42 a. The mean is KwH. (Type an integer or a decimal.) b. The median is KwH. (Type an integer or a decimal.) c. The modes are enter 0 if no modes. d. The midrange is KwH. (Type an integer or a decimal.) Given that this town has 1, 479 homes, estimate the total number of daily KwH by the town. Assume that the town has neither commercial nor industrial sites. The estimated number daily KwH usage by the town is (Round to the nearest whole number as needed.)

Explanation / Answer

a) The mean is the usual average, so I'll add and then divide:

(39+36+31+27+22+78+22+30+45+42)/10= 37.2

b) The median is the middle value, so first I'll have to rewrite the list in numerical order

22 ,22,27,30,31,36,39,42,45,78

There are ten numbers in the list

so middle number is ( 31+36) /2 = 33.5

c)

The mode is the number that is repeated more often than any other, so 22 is the mode.

d)

The largest value in the list is 78, and the smallest is 22, so the range is 78 – 22 = 56

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