Question

A student was interested in the cost of renting an apartment close to her college. A...

A student was interested in the cost of renting an apartment close to her college. A sample of advertised rents found the following data (in dollars per month): 200 200 360 345 230 300 275 250 320 365 455 290 The standard deviation of these rents is

Math   Statistics-And-Probability   
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Answer #1

Solution:

x dx = x - A = x - 276 dx2
200 -76 5776
200 -76 5776
360 84 7076
345 69 4761
230 -46 2116
300 24 576
275 -1 1
250 -26 676
320 44 1936
365 89 7921
455 179 32041
290 14 196
x = 3590 dx = 2 dx2 = 145008

Sample standard deviation is S

S = ( dx2 - (( dx )2 / n) n -1 )

= (145008 - (( 2 ) 2 / 13 ) 12 )

= ( 145008 - 0.3077 / 12 )

= (145007.6923 /12 )

= 12083.9744

= 109.9271

The standard deviation of these rents is 110

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