- The 20th percentile represent the temperature value which is less than or equal to the 20% of the temperature values in the distribution.
- The 20th percentile temperature is 36.5°C which is Mr. Whitney's temperature.
- The mean temperature value in °Fahrenheit is 98.249°F
- The standard deviation value of temperature in °F is 32.734°F
The 20th percentile represents the score at which less than or equal to 20% of the scores in a distribution may be found. This is the score at which less than or equal to 20% of the temperature values in the distribution may be found.
Mr. Whitney's temperature :
20th percentile ;
20% of (n)
Where n = count of temperature values = 130
20% × 130 = 26th term
The 26th falls in 36.5 temperature value.
The mean temperature reading in degree Fahrenheit :
°F = (9/5)°C + 32
Mean in °C = 36.805
°F = (9/5) × 36.805 + 32
°F = 66.249 + 32
= 98.249°F
The standard deviation of temperature reading in degree Fahrenheit :
°F = (9/5)°C + 32
Standard deviation in °C = 0.408
°F = (9/5) × 0.408 + 32
°F = 0.7344 + 32
= 32.7344°F
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