11 8 15 12 11 12 11 14 15 5 6 11
16 14 13 14 13 9 11 19 12 10 13 5
13 7 3 14 13 16 20 15 5 15 15 5
15 7 9 11 17 18 10 14 9 7 4 15
13 12 16 8 12 12
A. FREQUENCY DISTRIBUTION:
i) Construct a frequency distribution with six classes.
ii) Give the frequency, relative frequency, cumulative frequency, and relative cumulative frequency for each class. (I.e., a standard complete frequency distribution)
ii) Make a complete stem and leaf diagram for these data
B. GRAPH:
iii) Draw any one of the following graphs to represent the data:
a. histogram
b. frequency polygon
c. ogive
d. pie chart
e. box-and-whisker plot
v) Briefly explain (a) why you chose to use this type of graph and
(b) what it shows about the data and the data-generating process.
Give two reasons of sampling instead of using census and provide one example for your explanation.
Give two reasons for taking a census and provide one example for your explanation.
What is the entrepreneurs’ optimal strategy? What is the EVPI? What is the EVSI?
Solve the follwing game by using graphical method
Player1 1,2,3
Player2 1(2,3,11), 2(7,5,2)
3.3. Let f (X) =find the following:
Find the image of 1 under f. (1)
Find the pre-image of -2 under f. (2)
3.4. Find the domain of: f (X) = + (3)
3.5 Given that f () = 3 – 5 and g () = 2 – 2, evaluate the following:
(f+ g)( x) (2)
(fg)(x) (2)
(fᵒg)(x) (3)
(fᵒg)(-2) (2)
3.6. Find the inverse of the function
The random variable Z has a standard normal distribution. Find the value of b if
1) P(b<Z<2.133)=0.1618
"X=y\/bc-\u221aqr"
Find the value of r when b=2,c=1,q=3,x=2 and y= 4
the marks scored by five students in a test of statistics carrying 100 marks are 50, 60, 50, 60 and 40. A simple random sample of size 4 draws without replacement construct the sampling distribution of sample mean and find the standard error of the sample mean?