Suppose on a certain test, fifty students earn a perfect score and fifty students earn a zero. determine the mean grade and standard deviation among the one hundred students.
a. mean grade among the one hundred students is a0
b. standard deviation:

Mean=50.

standard deviation=50.

Step-by-step explanation:

Let the perfect score be 100.

The mean(average) of a data is given by:

Here the number of data points are 100. out of which 50 attains a value 100,and 50 attains value 0.

so, sum of data points=50×100+50×0=5000.

Mean=50.

"Now the standard deviation of data points are calculated by firstly subtracting mean from every entry and then square the number and take it as new entry and calculate the mean of the new data entry and lastly taking the square root of this new mean".

Here if 50 is subtracted from each entry the new entry will have 50 entries as '50' and 50 entries as '-50'.

next on squaring we will have all the 100 entries as '2500'.

now the mean of these entries is:

                                                         =2500

taking it's squareroot we have

Hence, standard deviation=50.

step-by-step explanation:

the first 5 right here the next 5 i will upload as separate question