23 Calculation The mean of a set of 7 numbers is 13 What is

23. Calculation: The mean of a set of 7 numbers is 13. What is the sum of the numbers? (Points : 4)       
      

Question 24. 24. Calculation: Find the mode of the following test scores: 89, 78, 91, 82, 75, 89, 84, 95, 89, 93 (Points : 4)

Question 25. 25. Calculation: The mean of a set of data is 174.25 and the sum of the data is 1,394. How many numbers are in the set? (Points : 4)

Question 26. 26. Calculation: The grade point averages of 10 students are listed below. Find the median grade point average.

3.15, 3.62, 2.54, 2.81, 3.97, 1.85, 1.93, 2.63, 2.50, 2.80 (Points : 4)

Question 27. 27. Calculation: Given the following raw scores, calculate the following values: Range, Variance and Standard Deviation, show your calculations:
Scores: 9, 7, 8, 4, 8, 8,7, 8, 9, 6, 3 (Points : 5)

Solution

23.

13=sum/7

sum=91

24.

mode is 89

25.

174.25=1394/ total number

total number = 1394/174.25 =8

26.

average =( 3.15+ 3.62+ 2.54+ 2.81+ 3.97+ 1.85+1.93+ 2.63+ 2.50+ 2.80)/10

=2.78

27. range= range all real number

varience =(9-7)^2++(7-7)^2(8-7)^2+(4-7)^2+(8-7)^2+(8-7)^2+(7-7)^2+(8-7)^2+(9-7)^2+(6-7)^2+(3-7)^2

=38

standerd deviation =

mean=sumof(9, 7, 8, 4, 8, 8,7, 8, 9, 6, 3)/11

=7

SD= (9-7)^2++(7-7)^2(8-7)^2+(4-7)^2+(8-7)^2+(8-7)^2+(7-7)^2+(8-7)^2+(9-7)^2+(6-7)^2+(3-7)^2/11

=4+1+9+1+1+1+4+1+16/11

=38/11

=3.45