151. For discrete random X, the expectation of X i.e., E(x) is equal to:________________?
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A. ?x<sup>2</sup>P(x)

B. ?P(x)

C. One

D. ?x.P(x)
152. If the occurrence of excludes the occurrence of the other is called ________________?
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A. Mutually exclusive

B. Exchaustive

C. Probability

D. Likely
153. If any of the value in data set is zero then it is not possible (i.e. impossiblE. to compute_______________?
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A. Mode

B. Median

C. Geometric Mean

D. Harmonic Mean

E. Mean

154. Events occurring together without affecting each other are called:_________________?
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A. Mutually Exclusive events

B. Equally likely events

C. Independent events

D. Dependent events

155. In a frequency distribution the last cumulative frequency is 300, Median shall lie in____________?
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A. 130th item

B. 160th item

C. 140th item

D. 150th item
156. You asked five of your classmates about their height. On the basis of this information, you states the average height of all student in your university or college is 67 inches. This is an example of____________?
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A. Inferential Statistics

B. Descriptive statistics

C. Parameter

D. Population

157. In r x c table for test of Independence the degree of freedom is _____________?
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A. (r -1) (c -1)

B. r + c

C. ? r c ?

D. rc

158. The sum of the deviations about the mean is always______________?
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A. Zero

B. Negative

C. Range

D. Positive

E. Total Standard Deviation

159. A subset of the sample space is called _________________?
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A. Event

B. Space

C. Set

D. Sample point

160. A coin is so weighted that P (T) = 2P(H) then P(H) is _______________?
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A. 1

B. 2-Jan

C. 1/3

D. 3-Feb

161. If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared deviations from the x will be______________?
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A. 10

B. 12

C. 6

D. 8

162. Least square regression line always passes through ____________________?
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A. (X,Y)

B. (x,y)

C. x/y

D. (X,Z)

163. If E (ax) = _______________?
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A. x E(a)

B. a E(x)

C. Non of these

D. A

164. f1x12 + f2x22 + + fxx42=___________?
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A. ?pi=1 ixi2

B. ?mi=1 ixi2

C. ?ni-1 ixi2

D. ?u1=1 ixi2
165. If an event consists of only one sample point is called _____________?
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A. Exactly

B. Space

C. Appeared

D. Elementary event
166. Lowest value of variance can be________________?
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A. 1

B. -3

C. 3

D. -1

E. 0
167. If a card is chosen from a standard deck of cards, what is the probability of getting a diamond (?) or a club (?)?
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A. 13/52

B. 20/52

C. Dec-52

D. 26/52=1/2
168. Usually measurements give rise to ________ data?
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A. Constant

B. Continuous

C. Specific

D. Discrete

169. A chance variation in an observational process is_____________?
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A. Measurement error

B. Random error

C. Instrument error

D. Dispersion/ Variability

170. Two digit random numbers are ________________?
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A. 2

B. 99

C. 100

D. 10
171. For a probability density function (pdf), the probability of a single point is_____________?
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A. 1

B. 2

C. 0

D. Constant

172. _________ used the word statistics for the first time during one of his lectures at a German university?
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A. unavoidable

B. Fisher

C. Achenwall

D. Feet

173. All experiments have _______ properties in common?
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A. Three

B. One

C. Four

D. Two
174. 5C5 is equal to ________________?
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A. 5

B. None of these

C. 1

D. 55

175. The Coefficient of Skewness is always zero for ____________ distribution?
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A. All of above

B. Symmetrical

C. Skewed

D. None of these

176. Find the median of the following datA. 160, 180, 200, 280, 300, 320, 400?
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A. 140

B. 300

C. 280

D. 180

177. For making voters lists in Pakistan we need _______________?
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A. Systematic sampling

B. Quota sampling

C. Simple random sampling

D. Census
178. Variance remains unchanged by change of________________?
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A. Origin

B. Scale

C. None of these

D. Both

179. A set of events is said to be independent if probability of head on tossing a coin is _______________?
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A. 4-Mar

B. 1

C. 1/2

D. 3-Feb

180. If c is non-random variable, the E(C) is_______________?
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A. C

B. 1

C. Zero

D. 2

181. The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient of variation ?
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A. 48.30%

B. 60.40%

C. 27.80%

D. 35.7%
182. In uni-model distribution, if mode is less than mean_______________?
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A. Negatively Skewed

B. Positively Skewed

C. Symmetrical

D. Normal

183. Second moment about mean is_______________?
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A. Standard Deviation

B. Coefficient of Variation

C. None of these

D. Variance
184. In inferential statistics, we study____________?
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A. how a sample is obtained from a population

B. None of the above

C. how to make decisions about mean, median, or mode

D. the methods to make decisions about population based on sample results
185. . If the occurrence of one event means that another cannot happen, then the events are _______________?
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A. Empirical

B. Independent

C. Mutually Exclusive

D. Bayesian

186. Data published by Bureau of statistics in its publications are _______________?
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A. None

B. Discrete data

C. Continuous data

D. Secondary data

187. If the sampled population has a normal distribution, when is the sampling distribution of the sample mean X also a normal distribution ?
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A. Only when the sample size is at least 30.

B. Only when the sample size is at least 100.

C. Always

D. Only when the sample size is smaller than 30

188. Non-sample errors are reduced by:________________?
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A. None of these

B. Reduced the amount of data

C. Decreasing the sample standard deviation

D. Increasing the sample size

189. Correlation coefficient lies between__________________?
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A. -1 ? r ? 1

B. 0 ? r ? -1

C. 0 ? r ? 1

D. 1 ? r ? 0

190. ______________is based on all observations of data?
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A. None of these

B. Mode

C. Median

D. Mean
191. Arithmetic mean of two positive numbers X and Y is_________________?
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A. (a+b)/2

B. a?b2

C. 2a+b

D. ab2

E. 2a2

192. If two events can both occur at the same time then they are referred as:__________________?
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A. Independent events

B. Exclusive events

C. Mutually Exclusive events

D. Dependent events

193. A constant variable can take values______________?
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A. Nothing

B. Zero

C. Fixed

D. Not fixed

194. In statistics, a sample means______________?
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A. all the items under investigation

B. A portion of the population

C. A portion of the sample

D. none of the above

195. The picture cards having in total fifty two cards is equal_________________?
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A. 16

B. Non of these

C. 12

D. 24

196. A continuous random variable which can assume all possible values on scale in a given _______________?
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A. Point

B. Sample space

C. Interval

D. Time

197. The grouped data is also called_____________?
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A. Raw data

B. Primary data

C. Secondary data

D. Qualitative data

198. A contractor employs 20 male, 15 female and 5 children in his factory. Male wages are Rs. 10 per day, female Rs. 8 per day, and children Rs. 3 per day. The weighted x of wages paid per day will be_____________?
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A. 8.37

B. 9.21

C. 3.86

D. 10.63

199. _____________is the measure of average which can have more than one value?
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A. Median

B. Mode

C. Mean

D. Harmonic Mean

E. Geometric Mean

200. The height of a student is 60 inches. This is an example of________________?
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A. Categorical data

B. Continuous data

C. Discrete data

D. Qualitative data