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Calculate GM for the following table gives the weight of 31 persons in the sample survey. Weight (lbs): 130 135 140 145 146 148 149 150 157 Frequency 3 4 6 6 3 5 2 1 1 - Business Mathematics and Statistics

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प्रश्न

Calculate GM for the following table gives the weight of 31 persons in the sample survey.

Weight (lbs): 130 135 140 145 146 148 149 150 157
Frequency 3 4 6 6 3 5 2 1 1
योग

उत्तर

Weight (x) Frequency (f) log x f log x
130 3 2.1139 6.3417
135 4 2.1303 8.5212
140 6 2.1461 12.8766
145 6 2.1614 12.9684
146 3 2.1644 6.4932
148 5 2.1703 10.8515
149 2 2.1732 4.3464
150 1 2.1761 2.1761
157 1 2.1959 2.1959
  N = 31   66.771

Geometric Mean (GM) = Antilog `((sum "f log x")/"N")`

= Antilog `((66.771)/31)`

= Antilog (2.1539)

GM = 142.5 lbs

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Measures of Central Tendency
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 8: Descriptive Statistics and Probability - Exercise 8.1 [पृष्ठ १९४]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 11 TN Board
अध्याय 8 Descriptive Statistics and Probability
Exercise 8.1 | Q 4 | पृष्ठ १९४
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