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a sample of 480 teachers spent for their classes $ AMOUNT FREQUENCY 100-120 10 120-140 30...

a sample of 480 teachers spent for their classes $ AMOUNT FREQUENCY 100-120 10 120-140 30 140-160 80 160-180 120 180-200 150 200-220 70 220-240 20 Estimate the mean and the standard deviation interpret the mean and standard deviation for this study

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Answer #1
AMOUNT FREQUENCY
100-120 10
120-140 30
140-160 80
160-180 120
180-200 150
200-220 70
220-240 20

Mean = SUMPRODUCT of Average of each amount * Frequency / Sum of Frequency

= (110*10+130*30+150*80+170*120+190*150+210*70+230*20)/480

= 177.5

Standard deviation = SQRT(((110-177.5)^2*10+(130-177.5)^2*30+(150-177.5)^2*80+(170-177.5)^2*120+(190-177.5)^2*150+(210-177.5)^2*70+(230-177.5)^2*20)/(480-1))

= 26.37

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