Class 2nd Year StatisticsTESTPaper Commerce

SHAMIM COLLEGE
LA54 BLOCK 15 GULSHEN E MUSTAFA KARACHI

Class 2nd Year Statistics TEST Paper Commerce

Important Questions:

Section B: (Short Answer Questions)

1- Define the following ( Statistics, Contiuos Variable, Primary and Secondary Data, Parameter and Statistics)
2- The data given below show the marks obtained by 50 students:
37
28
65
59
54
12
29
60
63
70
51
59
64
38
34
58
82
79
52
61
08
49
23
21
38
43
54
61
18
73
91
89
67
71
53
57
55
25
39
45
44
48
59
63
36
65
71
68
56
54
Classify the above, taking the size of cless interval as 20.
3- The following data show the eye colour of the students of a school. Represented the data byt simple bar diagram OR Pie Chart

Eye Colour
No. Of Students
Blue
60
Green
120
Brown
150
Hazel
100
4- The number of man and women who have recieved on MBA degree from a particular university to each of the three years.
Year
Men
Women
2001
74
12
2002
85
20
2003
90
32
Construct a sub- divided bar chart OR Multiple bar diagram?
5- Define the following? ( Average, Mean, Median, Mode)
6- The mean of 24 values is computed as 41.75. If an additional value 68 is to be included in the data, find the mean of 25 values?
7- If the men of the heights of group of 40 boys is 65 inches and the mean height of another group of 50 boys is 60 inches, find the mean height of 90 boys of the two group combined?
8- Find the mean, median and mode of the following data?
3, 5, 2, 5, 0, 5, 10, 12
9- Define the index number and Explain its types?
10- Construct simple price index numbers for the following data by taking 1977 as base.
Years
1977
1978
1979
1980
1981
Prices
216
249
264
276
288
11a) Find the numbers of permutations that be formed from all the letters of the word " Statistics" OR Communication"?
11b) How many committees of 5 members can be formes out of 13 women and 4 men by taking 3 women and 2 men?
12- Two dice are rolled at the same time. Describe the sample space and the probability that the sum of the dots on top faces of both the dice is atleast 11?
13- A card is drawn at random from full pack cards what is the probability that the selected card is not diamond?
14- A card is selected at random from a deck of 52 playing. Find the chances that it is either a king or a red card?
15- Two cards are drawn without replacement from all cards. Find the probability that both of two cards are diamond?
16- Define the following?
·                                Experiment
·                                Probability of an event
·                                Mutually exclusive events
·                                Dependent events
·                                Sample space
·                                Not mutually exclusive events
·                                Independent events
·                                Out comes
·                                Event

Section C: (Detailed Answer Questions)

1- Two dices are thrwon simultaneously:
·                                Determine the sample space?
·                                What is the probability of getting a total of 5?
·                                What is the probability of getting a total of 7?
·                                What is the probability of getting a total greater than 6?
·                                What is the probability of getting the same number on both faces?
2- From a well- shuffled pack of 52 playing cards in drawn at random. Find the probability that the selected card is
·                                King
·                                Card of spades
·                                Red card
·                                Picture card
3a)- A coin and a die are tossed together compute the probability that head occurs on coin and a number less than 6 occurs on the die?
3b)- One card is drawn from a pack of 52 cards what is the probability that the card is either king or jack?
4- The following data show the price and quantity of three commodities A, B and C for the years 2002 and 2003.
Commodities
Price
Quantity

2002
2003
2002
2003
A
6.60
7.19
240
330
B
4.15
4.90
185
210
C
1.25
2.00
315
345
Calculate the index numbers of the year 2003 by using the following
·                                Laspeyre's index number
·                                Paasche's index number
·                                Fisher's index number
5- Draw a pie chart of the following data.
Items
Expenditure (RS)
Food
950
Clothing
320
House Rent
500
Medical Care
230
Others
400
6- Define secondary data. Write the methods of collect secondary data?
7- Draw Ogives " Less than" and " More than" on the same graph paper for the following data:
CI
2---6
7----11
12---16
17---21
22---26
F
10
16
8
4
2
8- Calculate mean, median and mode from the following distribution and comment on the result?
Class Interval
Frequency
10-----19
12
20-----29
15
30-----39
20
40-----49
26
50-----59
20
60-----69
15
70-----79
12
9- The following data shows the weight of 30 students of a school
92
115
121
106
109
101
121
111
120
128
111
112
121
119
117
129
100
116
96
117
115
99
112
103
110
108
120
104
108
125
·                                Construct a frequency table by forming the groups. (91 -------- 99, 100 ------- 108, 127 -----135)?
10- The following data represent the graes of thirty students:
·                                Draw a histogram of the frequency table constructed above and locate mode?
23
32
36
41
10
25
41
43
15
34
17
05
01
16
08
15
46
45
39
33
12
32
18
31
24
28
33
27
04
34
·                                Construct frequency distribution through tally sheet by forming the groups (1---5, 6---10, 11--- 15, so on)
·                                Construct from above, the cumulative frequency distribution " More Than" and relative frequency distribution?
·                                Determine mid points and relative frequencies?
Best Of Luck


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