Statistics: Frequency Distribution, Probability, and Binomial Distribution

STATISTICS
STUDENT NAME/ID
[Pick the date]

Question 2
Frequency distribution table
Number of seniors = 150 =
Score Range Frequency Relative Frequency Cumulative Relative
Frequency
Very anxious =0.20*150
=30
0.20 =0.20
Anxious =0.1*150 =15 =0.30-0.20=0.1 0.30
Mildly anxious =0.8*150 =12 =0.38-0.30=0.08 =0.68-0.30=0.38
Generally relaxed 45 =45/150 =0.30 =1-0.32=0.68
Very relaxed =0.32*150
=48
0.32 =1
Total 150 1
Question 3
Given frequency distribution
1

Mean ( μ ) =∑ F . M
∑ F = ( 125
100 )=1.25
Now,
Variance σ 2= 1
∑ F−1 ( ∑ F . M 2
)− ( ∑ F∗μ2
)
Variance σ 2= 1
99 ( 1740− ( 100∗( 1.25 ) 2 ) ) =15.997
Standard deviation σ = √ 15.997
Standard deviation σ =3.9997 4
Question 4
Percentage of students female =55%
Percentage of students receives grade of C =40%
Percentage of students female and not C student =35%
Contingency table
2