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Calculate: the coefficient of variation the interquartile range median mode variance mean deviation from the mean...

Calculate: the coefficient of variation

the interquartile range

median

mode

variance

mean deviation from the mean

PRODUCTION IN TONS
50-150 35
150-250 40
250-350 56
350-450 62
450-550 78
550-650 55
650-750 53
750-850 52
850-950 44
950-1050 42
1050-1150 48
1150-1250 57
1250-1350 40
1350-1450 38
math   Statistics-And-Probability   
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Answer #1

SOLUTION :

N=14 [ ACCORDING TO GIVEN TABLE ]

COEFFICIENT OF VARIATION = ( STANDARD DEVIATION * 100 ) / MEAN

COEFFICIENT OF VARIATION ACCORDING TO GIVEN DATA IS 0.221939

INTERQUARTILE RANGE = MAXIMUM VALUE - MINIMUM VALUE

INTERQUARTILE RANGE = 78 - 35 = 43

INTERQUARTILE RANGE = 43

N=14

MEDIAN = 50 [ AFTER CALCULATION ]

MEDIAN = 50

SUM OF OBSERVATIONS = 700

MODE = 40

POPULATION VARIANCE = 123.14

SAMPLE VARIANCE = 132.61

MEAN ABSOLUTE DEVIATION = 9

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