# 2nd Year Statistics Test Paper 2020

SHAMIM COLLEGE
LA54 BLOCK 15 GULSHEN E MUSTAFA KARACHI

# 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
·                                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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