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Friday 9 April 2021

Statistics - Paper 2 - For Class ICOM - Part 2 (Commerce Group) - Complete Solved Model Paper With Solved MCQs 2020 -2021

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Statistics- Paper 2
For Class XII (Commerce Group)
Solved Model papers 2020 -2021







Time: 50 Minutes    Max. Marks: 25
SECTION "B" (SHORT - ANSWER QUESTIONS) (15 Marks)

Q. No.2 Attempt any Three part questions. All questions carry equal marks.

(i) Differentiate between Primary data and Secondary data Or Define Discrete and Continuous variables with examples.
SOLUTION 2 (i):
DIFFERENCE BETWEEN PRIMARY DATA AND SECONDARY DATA
Primary DataSecondary Data
 Primary data are original in nature. Secondary data are not in original in nature.
 Primary data is collected systematically therefore, suitability of primary data is positive. Suitability of secondary data may or may not be positive.
 It is time consuming and expensive. Secondary data are cheaper than primary data.
 Primary data does not require extra precautions. Secondary data require great care and cautions.
 Primary data are in the shape of raw material. Secondary data are in the shape of finished products.

OR

Discrete Variable:
A discrete variable is a variable whose value is obtained by counting.
Examples:
  1. Number of students present.
  2. Number of red marbles in a jar.

Continuous Variable:
A continuous variable is a variable whose value is obtained by measuring.
Examples:
  1. Height of students in class.
  2. Weight of students in class.

(ii) Find relative frequency distribution and cumulative frequency distribution to the following distribution:
C.I. 2 -- 4 5 -- 7 8 -- 10 11 -- 13 14 -- 16
 F 1 3 4 5 2


SOLUTION 2 (ii)
Class Interval Frequency Relative
Frequency
Cumulative
Frequency
2 - 4
5 - 7
8-10
11 - 13
14 - 16
1
3
4
5
2
1/15 = 0.067
3/15 = 0.200
4/15 = 0.267
5/15 = 0.333
2/15 = 0.133
1
1 + 3 =4
4 + 4=8
8 + 5 =13
13+2=15
∑f = 151.000 


(iii) Represent the following data by a Pie diagram.
Items A B C D E
 Expenditure (Rs.) 50 30 20 15 35

SOLUTION 2 (iii)
Items Expenditure Degree
A5050/150 x 360 = 120°
B3030/150 x 360 = 72°
C2020/150 x 360 = 48°
D1515/150 x 360 = 36°
E3535/150 x 360 = 84°
Total 150 360°



(iv) Find median for the following data:
C.I. 2 3 4 5 6 7
F 7 11 16 20 22 24

SOLUTION 2 (iv)
Class Interval Frequency Cumulative
Frequency
277
3117 + 11 = 18
41618 + 16 = 34
52034 + 20 = 54
62254 + 22 = 76
72476 + 24 = 100
∑f = 100



(v) From the data given below, calculate the index number of prices for 1991 with reference to 1990 as the base year, using Simple Aggregative Method.
Commodity Year
1990 1991
A 3 5
B 10 15
C 2 4

SOLUTION 2 (v)
Commodity Po Pn
A35
B1015
C24
Total 15 24


OR
(v) A bag contains 3 Red and 4 Black balls. 2 balls are drawn at random from the bag. Whet is the probability that the balls are one of each colour?
SOLUTION 2 (v):
n = 7
r = 2

SECTION "C" (DETAILED - ANSWER QUESTIONS)
(10 Marks)

Note: Answer any one question from this section. All question carry equal marks.
Q. No.3 (a): Find Arithmetic mean and Mode for the following frequency distribution.
SOLUTION 3 (a)
C.I. F X Fx C - B CF
2 - 42(2 + 4)/2 = 32 x 3 = 61.5 - 4.5 2
5 - 78(5 + 7)/2 = 68 x 6 = 484.5 - 7.52 + 8 = 10
8 - 1012(8 + 10)/2 = 912 x 9 =1087.5 - 10.5 10 + 12 = 22
11 - 134(11 + 13)/2 = 124 x 12 = 4810.5 - 13.522 + 4 = 26
14 - 162(14 + 16)/2 = 152 x 15 = 3013.5 - 16.526 + 2 = 28
∑f = 28 ∑fx = 474


Q, No.3 (b): Given that event A and B are mutually exclusive events such that P(A) = 0.3, P(B) = 0.6; Find P(AUB).
SOLUTION 3 (b):

P(AUB) = P(A) + P(B)
P(AUB) = 0.3 + 0.6
P(AUB) = 0.9 Ans.

Q. No.4 (a): Calculate Laspeyre's and Paasche's price index numbers for 1991 using 1990 as base year:

Commodity 1990 1991
PriceQuantityPriceQuantity
A104123
B6592
C5381

SOLUTION 4 (a):
Commodity Po qo Pn qn Pnqo Poqo Pnqn Poqn
A10412348403630
B659245301812
C5381241585
117856247


Q. No.4 (b): Two dice are rolled once. Construct the Sample Space. What Is the probabiltty of getting a total of:
(a) 9?
(b) 7 Or 11


SOLUTION 4(b):




SOURCE: Board Of Intermediate Education Karachi

2 comments:

  1. Sir plz is k short or long questions k answer upload ker de plz 🙏

    ReplyDelete
  2. Education is the key to success23 July 2021 at 13:23

    We will try our best but can't make commitment.

    ReplyDelete