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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

The standard deviation of some temperature data in degree Celsius (°C) is 5. If the data were converted into degree Fahrenheit (°F) then what is the variance? - Mathematics

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प्रश्न

The standard deviation of some temperature data in degree Celsius (°C) is 5. If the data were converted into degree Fahrenheit (°F) then what is the variance?

योग

उत्तर

F° = (C° × 1.8) + 32

σc = 5°C

σF = (1.8 × 5°C) ⋅ 9°F

Adding value to data doesn’t affect standard deviation.

New variance = σF2 = 81°F

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Measures of Dispersion
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अध्याय 8: Statistics and Probability - Unit Exercise – 8 [पृष्ठ ३३२]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 8 Statistics and Probability
Unit Exercise – 8 | Q 4 | पृष्ठ ३३२
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