STA301 Midterm Solved Past Papers

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 STA301 Midterm Solved Past Papers By Raise For Success

Question No 1:
Harmonic mean is extremely useful in arranging _____ types of data.

• None of the above
• Rates
• Ratios
• Both ratios and rates Correct

Question No 2:
How many percent corresponds to Q1 if you will interpret it?

• 50%
• 25% Correct
• 80%
• 75%

Question No 3:
Empirical relation between mean, median and mode is:

• Mode = 3 median – 2 mean Correct
• Mode = 2 median – 3 mean
• Median = 2 mean – 3 mode
• Mean = 3 median – 2 mode

Question No 4:
For a stem-and-leaf display:

• Arrange the leaf values from smallest to largest
• Make sure the stem value is only one digit
• Do not allow stems with no leaf values
• All of the above Correct

Question No 5:
Most repeated value in a data set is called:

• Median
• Mode Correct
• Mean
• None

Question No 6:
The difference of Mode and Mean is equal to:

• 2(mode-mean)
• 2(mean-median)
• 3(mean-median) Correct
• 3(mean-mode)

Question No 7:
In a histogram the area of each rectangle is proportional to:

• Frequency of the corresponding class interval Correct
• Cumulative frequency of the corresponding class interval
• The class size of the corresponding class interval
• The class mark of the corresponding class interval

Question No 8:
Which pair of measure cannot be calculated when one of members is the series is zero?

• G.M and A.M
• None of these
• H.M and A.M
• G.M and H.M Correct

Question No 9:
The mode value from raw data can be obtained by the help of:

• Bar chat
• Stem and leaf
• Dot plot Correct
• Pie chart

Question No 10:
Which one is the formula of mid quartile range:

• (Q3-Q1)/2
• (Q1+Q3)/2 Correct
• Q3-Q1
• (Q1-Q3)/2

Question No 11:
The reciprocal of the arithmetic mean of the reciprocals of the values is defined as:

• Weighted mean
• Harmonic mean Correct
• Weighted mean
• Geometric mean

Question No 12:

How many types of random sampling:

• Two
• Five
• Four Correct
• Three

Question No 13:

What is probability of drawing two clubs from a well shuffled pack of 52 cards?

• 1/17
• 1/26 Correct
• 13/17
• 13/51

Question No 14:

Bowley’s coefficient of skewness for a certain data is ZERO. What is the shape of the distribution of data?

• Uniform
• Symmetrical Correct
• Bi-modal
• Asymmetrical

Question No 15:

When there is no correlation then:

• r = 2
• r = 0 Correct
• r = 1
• r = -1

Question No 16:

If one card is selected at random from a deck of 52 playing cards, what is the probability that the card is a club or a face card or both?

• 20/52
• 22/52 Correct
• 52/22
• 21/52

Question No 17:

Standard Deviation is _____ measure of dispersion.

• A pure number
• None
• An absolute Correct
• A relative

Question No 18:

When the deviations (excesses and defects) from the true value tend to occur equally, it is called ____

• Systematic error
• Biased error
• Unbiased error Correct
• Mistake

Question No 19:

If P(AlB) = 0.27 and P(A and B) = 0.20, then P(B) is ______

• 0.38
• 0.75 Correct
• 0.29
• 0.45

Question No 20:

According to Chebychev’s rule, at least 8/9 of the data values will fall within:

• (Mean-S.D, Mean+S.D)
• None of these
• (Mean-2S.D, Mean+2S.D) Correct
• (Mean-3S.D, Mean+3S.D)

Question No 21:

When the frequency distribution or curve departs from symmetry is called ______

Negatively Skewed

Positively Skewed

Skewed Correct

None of these

Question No 22:
In how many different ways can the letters of the word “LEADING” be arranged in such a way that the vowels always come together?

• 720
• 860
• 650
• 5040 Correct

Question No 23:
Value of Harmonic mean depends on

• Both a & b
• Few observations
• Extreme values Correct
• All the observations

Question No 24:
What is/are the mode for the following data:

• 1,1,2,2,5,5,7,7
• 1,2
• No mode in the data
• 1,2,5
• 1,2,5,7 Correct

Question No 25:
Frequency polygon is constructed by plotting frequencies against their:

• Class marks Correct
• Standard deviation
• Means
• Variances

Question No 26:
Which scale of measurement is more suitable in the following example? The number of minutes of overtime work that employees perform.

• Nominal Correct
• Ordinal
• Interval
• Ratio

Question No 27:
Statistics deals with

• Individuals
• Aggregates of facts
• Isolated items
• Observations Correct

Question No 28:
The total number of observations, which are below a certain value are known as:

• Variances
• Cumulative frequency
• Class boundaries Correct
• Class marks

Question No 29:
Relationships among the averages:

• None of the above
• HM>=GM>=AM Correct
• GM<=HM<=AM
• HM<=GM<=AM

Question No 30:
Which one of the following in not a major method of data collection:

• Interviews
• Questionnaires
• Secondary data Correct
• All of the methods of data collection

Question No 31:
Which of the following measure is expressed in square of units?

• Variance
• Means deviation
• Quartile deviation
• Standard deviation Correct

Question No 32:
The number of ways in which four books can be arranged on a shelf are:

• 4
• 12
• 24 Correct
• 6

Question No 33:
The population about which information is sought is called ______

• Sampled Population
• Target Population Correct
• Sampling Frame
• Sampling Unit

Question No 34:
The respondent refuses to answer any of the questions is called:

• Partial non-response
• Total non-response Correct
• Target Population
• Sample information

Question No 35:
Dividing interquartile range by 2 we get:

• Co-efficient of range
• None of the above
• Mid-range
• Semi Inter Quartile Range Correct

Question No 36:
When two dice are rolled. What is the probability that total is at least 12:

• 2/36 Correct
• 12/36
• 1/36
• 36/36

Question No 37:
What is the value of class mark for the given class 10-22?

• 9
• 11 Correct
• 8
• 10

Question No 38:
2^nd Quartile = 5^th Decile = 50^th Percentile =?

• Harmonic Mean
• Mode
• Median Correct
• Geometric Mean

Question No 39:
Which of the following techniques is used to predict the value of one variable on the basis of other variables?

• Coefficient of correlation
• Regression analysis Correct
• Covariance
• Correlation analysis 

Question No 40:

A histogram is consisting of a set of a set of adjacent rectangle whose bases are marked off by:

• Class boundaries Correct
• Class limits
• Class frequency                                                                  
• Class marks

Question No 41:

The middle value of an ordered array of numbers is the:

• Mean                                              
• Median Correct
• Mode                                                                                        
  
• Midpoint

Question No 42:
If Mean =25 & S.D is 5 then C.V is:

• 100%
• 20% Correct
• 10%
• 25%

Calculation: C.V = (S.D/X) x 100 = (5/25) x 100 = 20% Answer 

Question No 43:

You connect the mid-points of rectangles in a histogram by a series of lines that also touches the x-axis from both ends, you will get:

• Ogive
• Frequency polygon
• Frequency curve Correct
• Histogram

Question No 44:

The conditional probability P (A/B) is:

• P (A n B)/P (B) Correct
• P (A n B)/P (A)
• P (A U B)/P (B)
• P (A U B)/P (A)

Question No 45:

Serious disadvantage of using range as a measure of dispersion is that it is based on only:

• Minimum Values
• Maximum Values
• Both Minimum and Maximum values
• None of the above Correct

Question No 46:

Frequency of a variable is always in:

• Fraction form
• Percentage form
• Less than form
• Integer form Correct

Question No 47:
5C5 is equal to:
5                                                                                                       
1 Correct
10                                                                                               
24
Question No 48:
Chebychev’s inequality does not hold for k = ?

• 3                                                                                                 
  
• 2
• 1       
  
• 0 Correct

Question No 49:
If A = {1,2,3,4} and B = {3,4,5,6} then A – B will be:

• {1,2} Correct
• {3,4}
• {3,2,1}
• {1,2,3,4,5,6}

Question No 50:
If P (B|A) = 0.25 and P (A and B) = 0.20, then P (A) is

• 0.05
• 0.80 Correct
• 0.95
• 0.75

Calculation:
P (B|A) = [P (A and B)] / P (A)
P (A) = [0.20 / P (B|A)]
P (A) = [0.20 / 0.25]
P (A) = 0.80