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Arithmetic mean of 15 observations was calculated as 85. In doing so an observation was wrongly taken as 73 for 28. What would be correct mean? - Mathematics

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प्रश्न

Arithmetic mean of 15 observations was calculated as 85. In doing so an observation was wrongly taken as 73 for 28. What would be correct mean?

बेरीज

उत्तर

Arithmetic mean = `"Sum of all observations"/"Number of observations"`

85 = `"Sum of 15 observations"/15`

85 × 15 = sum of 15 observations

1275 = sum of 15 observations

Wrong observation = 73

Correct observation = 28

∴ Correct Mean = `"Sum − Wrong value + Correct value"/"Number of observations"`

= `(1275 - 73 + 28)/15`

= `(1202 + 28)/15`

= `1230/15`

= 82

Correct mean = 82

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पाठ 5: Statistics - Exercise 5.4 [पृष्ठ १०९]

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सामाचीर कलवी Mathematics - Term 3 [English] Class 7 TN Board
पाठ 5 Statistics
Exercise 5.4 | Q 1 | पृष्ठ १०९
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