# BCOM Maths 1 MCQ

Question 101 : Ogive curve occur for

1. More than type distribution
2. Less than type distribution
3. Both (a) and (b)
4. None of (a) and (b)

Question 102 : Ogive for more than type and less than type distribution intersect at

1. Mean
2. Median
3. Mode
4. None of the above

Question 103 : With the help of histogram we can prepare

1. Frequency Polygon
2. Frequency Curve
3. Frequency Distribution
4. All the above

Question 104 : With the help of histogram, one can determine

1. Median
2. Mode
3. Mean
4. All the above

Question 105 : In case of open-end class intervals, _____ cannot be calculated

1. Median
2. Mode
3. Third Quartile
4. Arithmetic Mean

Question 106 : If an extreme value 100 is changed to 1000, the following measure does not get affected : (i) Median, (ii) Arithmetic Mean, (iii) Mode, (iv) 1st Quartile, (v) 3rd Quartile

1. (i), (iv) and (v)
2. Only (ii)
3. All except (ii)
4. (i) and (ii)

Question 107 : The arithmetic mean of 150, 250, 350, 450, 550 and 650 is _____.

1. 350
2. 400
3. 250
4. 300

Question 108 : If each observation in a sample of n values is 7, then the arithmetic mean of this sample is _____.

1. n
2. 7
3. 7/n
4. 7n

Question 109 : _____ can be used for further algebraic treatment

1. Median
2. Arithmetic Mean
3. 1st Quartile
4. Mode

Question 110 : If, in a set of 30 observations, each value is increased by 10, the arithmetic mean increases by _____.

1. 10
2. 3
3. 300
4. 3.33

Question 111 : If a frequency distribution has open end classes, one cannot calculate

1. Median
2. Mode
3. Mean
4. Quartiles

Question 112 : The sum of n observations is 630 and their mean is 42, then the value of n is _____.

1. 25
2. 20
3. 30
4. 15

Question 113 : _____ a/are merit/s of the measure of central tendency arithmetic mean.(i) It is not affected by extreme values, (ii) It can be located graphically, (iii) It is easily calculated, (iv) It is capable of further mathematical treatment.

1. (iii)
2. (ii) and (iii)
3. iii) and (iv)
4. All of the above

Question 114 : If an extreme value 100 is changed to 1000, the following measure does not get affected : (i) Median, (ii) Arithmetic Mean, (iii) Mode, (iv) 1st Quartile, (v) 3rd Quartile

1. (i), (iv) and (v)
2. Only (ii)
3. All Except (ii)
4. (i) and (ii)

Question 115 : In case of open-end class intervals, _____ cannot be calculated.

1. Only Median
2. Arithmetic Mean and Mode
3. All Quartiles
4. Only Arithmetic Mean

Question 116 : The arithmetic mean of 110, 125, 140, 150 and 165 is _____.

1. 140
2. 138
3. 96
4. 139

Question 117 : _____ can be used for further algebraic treatment.

1. Median
2. Arithmetic Mean
3. 3rd Quartile
4. Mode

Question 118 : If, in a set of 20 observation, each value is increased by 5, the arithmetic mean increases by _____.

1. 20
2. 4
3. 5
4. zero

Question 119 : Mean age of 50 students in a class was 14 years. Two new students with ages 13 and 14 were admitted to this class. The average age of all 52 students is _____.

1. 14.54 years
2. 13.98 years
3. 13.46 years
4. 12.94 years

Question 120 : Mean weight of 50 students was 63 kg. Two students with weights 64 kg and 61 kg were admitted to this class. The average weight of all 52 student is _____.

1. 62.98 kg
2. 63 kg
3. 69.28 kg
4. 62.5 kg

Question 121 : If there are two groups with 50 observations each and with 25 and 35 as values of their arithmetic mean, the combined arithmetic mean of 100 observations is _____.

1. 30
2. 25
3. 35
4. None of the other options

Question 122 : 14 is the mean of 7 observations, 20 is the mean of 8 observations. The mean of the combined set is _____.

1. 17
2. 17.2
3. 15
4. 34

Question 123 : In a school average score of girls is 78 and that of boys is 72. The average for the school (boys and girls together) is 75. The ratio of number of boys to number of girls is _____.

1. 02:01:00
2. 01:02:00
3. 01:01:00
4. 03:01:00

Question 124 : If there are two groups with 40 observations and 60 observations with arithmetic means 120 and 80 respectively, the combined arithmetic mean of 100 observations is _____.

1. 96
2. 148
3. 104
4. 100

Question 125 : In a school average score of girls is 78 and that of boys is 72. The average for the school (Boys and girls together) is 75. The ratio of number of boys to number of girls is _____.

1. 02:01:00
2. 01:02:00
3. 01:01:00
4. 03:01:00

Question 126 : A student got 45, 34, 35, 40 and 30 in five subjects which were assigned weights 2, 3, 1, 1 and 3 respectively. His weighted average is _____.

1. 36.8
2. 35.7
3. 34
4. 71.4

Question 127 : If more importance is to be given to the semester end examination marks than the project marks, the best measure of central tendency to be used is _____.

1. Arithmetic Mean
2. Median
3. Weighted Arithmetic Mean
4. Mode

Question 128 : A student got 65, 74, 55, 60 and 52 in five subject which were assigned weights 2, 1, 3, 1 and 3 respectively. His weighted average is _____.

1. 61.2
2. 58.5
3. 57.5
4. 60

Question 129 : The point of intersection of the less than and the greater than cumulative frequency curve corresponds to _____.

1. Mean
2. Median
3. Mode
4. Geometric Mean

Question 130 : A less than and the greater than cumulative frequency curve helps to determine _____. (i) Mean, (ii) Median, (iii) Mode, (iv) Quartiles

1. (i) & (ii)
2. (ii) and (iii)
3. (i) and (iv)
4. (ii) and (iv)

Question 131 : The middle most observation, dividing the entire distribution into two equal parts is known as _____.

1. First Quartile
2. Mode
3. Arithmetic Mean
4. Median

Question 132 : The median of 67, 34, 89, 23, 7, 56, 12, 46, and 23 is _____.

1. 23
2. 34.5
3. 39.5
4. 34

Question 133 : The median of 73, 39, 94, 28, 12, 61 and 17 is _____.

1. 50
2. 33.5
3. 39
4. 28

Question 134 : The median of a set of observations with minimum value 63 and maximum value 132 cannot be _____.

1. Only (i)
2. Only (ii)
3. (i) and (iii)
4. (i), (ii) and (iv)

Question 135 : The median age of a group of 40 distinct observations is 136 with the least and highest value being 54 and 204 respectively. If four more observations with values 21, 45, 300 and 257 are added to this group, the new median will be _____.

1. 136
2. 17.25
3. 155.75
4. 129

Question 136 : The median of a group of 25 distinct observations is 62 with the least and the highest values being 20 and 98 respectively. If four more observations with values 11, 15, 100 and 107 are added to this group, the new median will be _____.

1. 61.48
2. 58.25
3. 62
4. None of the above

Question 137 : The median of a set of observations with minimum value 45 and maximum value 94 cannot be _____.

1. 52
2. 98
3. 55
4. Any of the given options

Question 138 : In case of extreme values, the best measure of central tendency is _____.

1. Arithmetic Mean
2. First Quartile
3. Median
4. All of these

Question 139 : Ogive for more than type and less than type distribution intersect at _____.

1. Mean
2. Median
3. Mode
4. None of the above

Question 140 : The middlemost observation, dividing the entire distribution into two equal parts is known is _____.(i) Median, (ii)2nd Quartile, (iii) 5th Decile, (iv) 50th Percentile

1. (i)
2. (ii)
3. (i) and (ii)
4. All of the above

Question 141 : The first quartile for 21, 30, 18, 24, 26, 20, 21 is _____.

1. 20
2. 20.5
3. 21
4. 30

Question 142 : The value of the 25th percentile is same as the value of the _____.

1. Median
2. 2nd Decile
3. 1st Quartile
4. Mode

Question 143 : The first quartile for 8, 40, 15, 34, 21, 30, 18, 24, 26, 20 and 31 is _____.

1. 20
2. 19
3. 21
4. 18

Question 144 : The third quartile for 105, 120, 118, 127, 104, 109 and 115 is _____

1. 12.5
2. 127
3. 118
4. 120

Question 145 : The limits within the middle 50% of the observations lie are _____.

1. Median and Mode
2. 1st Quartile and 3rd Quartile
3. Mean and Mode
4. None of the given options

Question 146 : The third quartile for 10, 12, 11, 27, 4, 9 and 15 is _____.

1. 15
2. 17
3. 27
4. 13.5

Question 147 : The fourth decile for 11, 8, 5, 15, 18, 23, 20, 19, 10 is _____.

1. 10
2. 10.5
3. 11
4. None of the given options

Question 148 : The value of the 25th percentile is same as the value of the _____.

1. Median
2. 2nd Decile
3. 1st Quartile
4. Mode

Question 149 : In a continuous distribution where the total frequency is 20, the value of the 7th decile will be value of the _____ observation.

1. 7th
2. 20th
3. 3.5th
4. 14th

Question 150 : The sixth decile for 16, 13, 10, 20, 23, 28, 25, 24 and 15 is _____.

1. 24
2. 23.5
3. 20
4. 23

Question 151 : The value of the 5th decile is same as the value of the _____.

1. Median
2. 75th Percentile
3. 3rd Quartile
4. 2nd Quartile or 50th Percentile

Question 152 : In a continuous distribution where the total frequency is 50, the 68th percentile will be value of the _____ observation.

1. 34th
2. 68th
3. 50th
4. 136th

Question 153 : The middlemost observation, dividing the entire distribution into two equal parts is known as _____. (i) Median, (ii) 2nd quartile, (iii) 5th decile, (iv) 50th percentile

1. (i)
2. (ii)
3. (i) and (ii)
4. All of the above

Question 154 : In a continuous distribution where the total frequency is 50, the 72nd percentile will be value of the _____ observation.

1. 50th
2. 72nd
3. 36th
4. 86th

Question 155 : The value of the 25th percentile is same as the value of the _____.

1. Median
2. 6th Decile
3. 1st Quartile
4. Mode

Question 156 : In a continuous distribution where the total frequency is 600, the value of the 6th percentile will be value of the _____ observation.

1. 100th
2. 36th
3. 3.6th
4. 3rd

Question 157 : Mode can be calculated graphically using a _____.

1. It is not affected by extreme values
2. It can be located graphically
3. It is easily calculated
4. It is not capable of further mathematical treatment

Question 158 : Mode can be calculated graphically using a _____.

1. Pie Diagram
2. Histogram
3. Ogive
4. None of these

Question 159 : _____ is the most frequently occurring value in a ungrouped data

1. Mean
2. Median
3. Mode
4. None of these

Question 160 : A limitation of mode is _____.

1. It is easy to calculate
2. It is not based on all observations
3. It can be obtained graphically
4. None of the given option

Question 161 : Which of the following is the most suitable average for the average size of readymade garments?

1. Arithmetic mean
2. Median
3. Mode
4. Geometric Mean

Question 162 : With the help of histogram, one can determine :

1. Median
2. Mode
3. Mean
4. All of the above

Question 163 : Mode can be located graphically using a _____.

1. Pie Diagram
2. Histogram
3. Ogive
4. All of these

Question 164 : _____ is the most frequently occurring value in a data set.

1. Mean
2. Median
3. Mode
4. Weighted Arithmetic Mean

Question 165 : A limitation of mode is(i) It is easy to calculate, (ii) It is not based on all observations, (iii) It can be obtained graphically, (iv) It is not unique.

1. (i) and (ii)
2. It is not based on all observations
3. None of these
4. All of the above

Question 166 : The outcome of throwing a die is

1. Simple event
2. Mutually exclusive event
3. Complementary
4. Compound even

Question 167 : Two events are said to be independent if

1. there is no common point in between them.
2. one does not affect the occurrence of the other.
3. each outcome has equal chance of occurrence.
4. none of the above

Question 168 : If A and B are two events which have no points in common, the events are

1. independent
2. mutually exclusive
3. dependent
4. complementary to each other

Question 169 : If A and B are two events, the probability of occurrence of either A or B is given by

1. P (A U B)
2. P (A) + P (B)
3. P (A ? B)
4. P (A) P(B)

Question 170 : If A and B are two events, the probability of simultaneous occurrence of A and B is given by

1. P (AB)
2. P (A) + P (B)
3. P (AB)
4. P (A) P (B)

Question 171 : The probability of all possible outcomes of a random experiment is always equal to

1. infinity
2. one
3. zero
4. none of the above

Question 172 : The probability of the intersection of two mutually exclusive events is always

1. infinity events
2. one
3. zero
4. none of the above

Question 173 : If two A and B are such that A B and B A, the relation between P (A) and P (B) is

1. P (A) ? P (B)
2. P (A) ? P (B)
3. P (A) = P (B)
4. none of the above

Question 174 : If E is an event, the conditional probability of E given E is equal to

1. one
2. zero
3. infinite
4. none of the above

Question 175 : The outcomes of tossing a coin two times are the variable of the type.

1. neither random variable
2. continuous random variable
3. neither (a) nor (b)
4. (a) as well as (b)

Question 176 : The weight of a person in a country is a random variable of the type.

1. discrete random variable
2. continuous random variable
3. neither (a) nor (b)
4. (a) as well as (b)

Question 177 : If X is random variable with its mean ** then the expression E (X **)2 represent

1. expectation of X
2. variance of X
3. both (a) and (b)
4. none of (a) and (b)

Question 178 : X is a random variable having its p.d.f. f (x), the E (x) is called

1. arithmetic mean
2. geometric mean
3. first quartile
4. none of the above

Question 179 : If a random variable X has the following probability distribution X 1 2 1 2 P (x) 1/3 1/6 1/3 1/6 Then the expected value of X is

1. 03-02-2022 12:00:00 AM
2. 01-06-2022 12:00:00 AM
3. 01-02-2022 12:00:00 AM
4. none of the above

Question 180 : The various steps involved in the decision theory approach are, i) Acts (or) courses of action (or) strategy (or) decision alternatives ii) States of nature (or) events iii) Pay of table iv) Decision

1. (i) & (ii)
2. (ii) & (iii)
3. (iv) & (i)
4. (i) & (ii) & (iii) & (iv)

Question 181 : If the outcome of some action (or act) is not known in advance, then that outcome is uncertain.

1. False
2. True
3. None
4. both (a) & (b)

Question 182 : If we can place a monetary gain (or) loss to a consequence (or outcome), then it is called a pay off (or worth) of the outcome. The outcome is the combination of each act with each possible states of nature.

1. True
2. False
3. None
4. both (a) & (b)

Question 183 : Decision making under certainty is the process of choosing a decision alternatives (acts) when the state of nature is _____.

1. Unknown
2. Known
3. both (a) & (b)
4. None

Question 184 : In decision making under certainty case, there will be only one states of nature (event) column in the pay off table and the action which yields the best payoff in the column is chosen.

1. True
2. False
3. None
4. both (a) & (b)

Question 185 : The six of the most popular criteria available are maximax, minimax, maximin, minimin minimax regret, laplace criteria one of the above criterian can be used when probabilities of various states of nature (or events) are _____.

1. Known
2. Unknown
3. (a) and (b)
4. None

Question 186 : Maximax, Minimin are known as _____.

1. Optilistic approach
2. Pessimistic approach
3. None
4. both (a) & (b)

Question 187 : Pessimistic approach represents.

1. Maximin Criterion
2. Minimax criterian
3. Both (a) & (b)
4. None

Question 188 : Opportunity loss table will contain

1. All negative values
2. Both positive and negative values
3. All positive values
4. None

Question 189 : The probability is assigned to each _____.

1. State of nature
2. Acts
3. Both (a) & (b)
4. None

Question 190 : In EMV method we select the best act for which EMV has _____ values.

1. Minimum
2. Maximum
3. Between maximum and minimum
4. None

Question 191 : Expected opportunity loss and EMV can be calculated when probability is _____ to each states of nature.

1. Given
2. None given
3. None
4. both (a) & (b)

Question 192 : If the maximum payoffs for four acts A1, A2, A3 and A4 are 8, 25, 40 and zero respectively, then the best decision according to the minimax criterion is

1. A1
2. A2
3. A4
4. A3

Question 193 : Minimax regret approach is somewhat between manimin and minimax criteria.

1. True
2. False
3. None
4. both (a) & (b)

Question 194 : To construct the opportunity loss/regret table from a pay-off table first find the maximum pay off under each ____.

1. Acts
2. States of Nature
3. None
4. both (a) & (b)

Question 195 : The best act to be selected using EMV and EOL will be the same

1. True
2. False
3. None
4. both (a) & (b)

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