Federal Board HSSC-I (2016)
STATISTICS
SECTION-A
(Marks 17)
Time allowed:  25 Minutes
NOTE: Section-A is compulsory. All parts of this section are to be answered on the question paper itself. It should be completed in the first 25 minutes and handed over to the Centre Superintendent.  Deleting/overwriting is not allowed. Do not use lead pencil.

Q1. Circle the correct option i.e. A.B.C. D. Each part carries one mark.

• A specific characteristic of a population is called:
  

(A) Statistic
(B) Parameter
(C) Variable              
(D) Sample

• Listing of the data in order of Numerical Magnitude is called:
  

(A) Raw data
(B) Arrayed data
(C) Discrete data
(D) Continuous data

• The word ogive is also used for: 
  

(A) Frequency polygon
(B) Cumulative frequency polygon 
(C) Frequency curve
(D) Histogram

• A variable that assumes any value within a range is called:
  

(A) Discrete variable
(B) Continuous variable 
(C) Independent variable
(B) Dependent variable

• The average of lower and upper class limits is called:
  

(A) Class boundary
(B) Class frequency
(C) Class mark
(D) Class limit

• A pie diagram is represented by a:
  

(A) Rectangle           
(B) Triangle
(C) Circle    
(D) Square

• Step deviation method or coding method is used for computation of the: 
  

(A) Geometric mean
(B) Harmonic mean 
(C) Arithmetic mean
(D) Weighted mean 

• A curve that tails off to the right end is called:
  

(A) Symmetrical
(B) Negatively skewed
(C) Positively skewed
(D) Both A and B

• The sample mean X is a:
  

(A) Parameter         
(B) Constant
(C) Variable              
(D) Statistic

• The variance is zero only if all observations are:
  

(A) Different            
(B) Square
(C) Square root
(D) Same

• The range of the values -5,-8,- 10,0,6,10 is:
  

(A) 0             
(B) 10
(C) -10         
(D) 20

• Bowley's coefficient of Skewness lies between:
  

(A) 0 and 1 
(B) -2 and +2
(C) -1 and 0               
(D) -1 and +1

• Index for base period is always taken as:
  

(A) 100        
(B) One
(C) 200        
(D) Zero

• Price relative computed by chain Base method is called:
  

(A) Link relative B   
(B) Chain indices
(C) Price relatives
(D) None of these

• Base year quantities as weights are used in:
  

(A) Laspeyre's method
(B) Paasche's method
(C) Fisher's ideal method
(D) None of these

• In simple regression equation, the number of variables involved is:
  

(A) 2             
(B) 1
(C) 0             
(D) 3

• Depression in business is:
  

(A) Cyclical 
(B) Secular trend
(C) Seasonal             
(D) Irregular

SECTION – B
(Marks 42)

2. Attempt any FOURTEEN parts. All parts carry equal marks.   (14x3= 42)

• Differentiate between parameter and statistic.
  
• Name the branches of statistics
  
• Differentiate between grouped data and ungrouped data
  
• The mean of 5 observations is 60 Another item is included in the observations and now the mean becomes 62 Find the included item
  Ʃ(x-10) = 2 8 and n = 5. Find the sample mean
  
• What is meant by measures of central tendency?
  
• Find biased sample standard deviation of the scores 30 35.40
  
• If Var(x) - 25 than find Var(Zx + 4)
  
• The first two moments of a distribution about the value 5 of a variable are 2 and 32 Find variance
  
• Define the standard deviation
  Ʃ Poqo =1500 and Ʃ Pn qo = 2040 Find base year weighted index
  
• What are the important uses of index numbers?
  
• If x = 50 y - 110 and a = 10 Find the value of b
  
• If byx = 1 6 and b 04 Find the value of rxy
  
• Write down the properties of the correlation coefficient
  Ʃx = 0, X y = 41172 and n = 10 Find the value of x intercept a
  Ʃx = 0, Ʃ y = 245 Ʃx2 =28. Ʃx y = 66 and n = 7 Fit a linear trend
  
• What are the different components of a time series?
  
• Differentiate between signal and noise
  

SECTION – C
(Marks 26)

Note: Attempt any TWO questions. All questions carry equal marks.  (2x13= 26)

Q. 3 (a) The following table shows the distribution of the maximum loads in short tons supported by certain cables produced by a company  (08)

(b) Determine Mean, Median and Mode Comp., e the Mean deviation from median and its coefficient from the following data.  (05)

Q. 4 End chain indices from the following price relative of the three commodities using Geometric mean as Average:  (13)

Q. 5 (a) Show that the Sum of errors and Sum of squares of errors are zero for the following data: (07)

(b) Compute 4 year centered moving average for the following time series.  (06)