Test scores for a statistics class had a mean of 79 with a s

Test scores for a statistics class had a mean of 79 with a standard deviation of 4.5 Test scores for a calculus class had a mean of 69 with a standard deviation of 3.7 Suppose a student gets a 66 on the statistics test and a 81 on the calculus test. Calculate the for each test. On which test did the student perform better relative to the other students in each class? history Z scot = 0.67, In chemistry, the Kelvin scale in often used to measure temperatures. On the Kelvin scale zero degrees is absolute zero. Temperatures on the Kelvin scale are related to temperatures on the Celsius scale as follows: K = C + 273degree, Temperatures on the Fahrenheit scale are related to temperatures on the Celsius scale as follows: F = 9C/5 + 32 degree. A set of temperatures is given in Celsius Kelvin, and Fahrenheit. How will the standard deviations of the three sets of data compare? Skewers can be measured by Pearson\'s index of skewness: 1 = 3(x^_- - median)/ s If 1 > 1.00 or 1

Solution

Note that if the standard deviation of x is s, then if

y = ax + b

where a and b are constants, then

s(y) = a s(x)

As we can see, the b does not contirbute to the new standard deviation.

**************************

Hence, the Celcius and Kelvin scales will have the same standard deviation.

Meanwhile, the standard deviation of F will if 9/5 times that of the standard deviations of C and K. [ANSWER]