Average,Chebyshev’s theorem,skewness

please solve following quesitons

Q#1The average IQ of 10 students in a mathematics course is 114.If 9 of the students have IQ’s of 101, 125, 118, 128, 106, 115, 99,118 and 109. What must be the other IQ? Feeling

Q#2

The grade-point averages of 20 college seniors selected at random from the graduating class are as follows:

3.2,1.9,2.7,2.4,2.8,2.9,3.8,3.0,2.5,3.3,1.8,2.5,3. 7,2.8,2.0,3.2,2.3,2.1,2.5,1.9

Calculate the percentage of grade point averages falling in the intervals X_+2S and_+3S . Do these results agree with Chebyshev’s theorem?

Q3

Calculate skewness from the following distribution by

a.the Bowley’s formula

b.the Pearsonian method

data

Groups: 35-39,40-44,45-49,50-54,55-59,60-64,65-69.

Frequency: 13,15,17,28,12,10,5 respectively.

Groups

frequency

35-39

40-44

45-49

50-54

55-59

60-64

65-69

13

15

17

28

12

10

5

Thanks