A thermocouple was used to measure the temperature of a bucket of water. Multiple measurements were taken as shown in the table below.   Temperatures in °F:       72.4      73.1      72.6      72.8       73.0      a) Calculate the mean temperature. Enter your answer with the correct significant figures. b)Calculate the range in temperature readings. Enter your answer with the correct significant figures. c)Calculate the variance in temperature readings. Enter your answer with the correct significant figures. d)Calculate the standard deviation in temperature readings. Enter your answer with the correct significant figures.

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A thermocouple was used to measure the temperature of a bucket of water.

Multiple measurements were taken as shown in the table below.

 

Temperatures in °F:       72.4      73.1      72.6      72.8       73.0   

 

a) Calculate the mean temperature. Enter your answer with the correct significant figures.

b)Calculate the range in temperature readings. Enter your answer with the correct significant figures.

c)Calculate the variance in temperature readings. Enter your answer with the correct significant figures.

d)Calculate the standard deviation in temperature readings. Enter your answer with the correct significant figures.

Expert Solution
Step 1

The temperature of a bucket of water are given as:

Temperatures in °F:       72.4      73.1      72.6      72.8       73.0 

a)

 The mean temperature of the bucket can be found by dividing the sum of all the given temperatures by the number of temperature readings

Tmean =15Ti5          =72.4 + 73.1 +72.6 +72.8 +735           = 72.78oF

μ=72.78 is the mean of the temperatures

b)

range in the readings of the temperature of the bucket is the difference between maximum temperature and minimum temperature:

Trange = 73.1°F -72.4°F

          = 0.70°F

 

 

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