Practice Test


1) A Good measure of Central tendency should be


2) For symmetrical distribution the following relationship is true:


3) In case of extreme values the best measures of Central Tendency is


4) The purpose of an average is to find:


5) The best measure of average to find the average speed is


6) Incase of qualitative data the best measures is


7) Incase of grouped data when the last class interval is "80 & above" the best measure of average is


8) When one of the observation has value 0 then we cannot use


9) When the observation are 7, 5, 7, -1, 8, 4 then to find average we cannot use


10) We can have more than one observation as average in case


11) Percentiles & Deciles divides the gives set of observations into


12) Among AM, HM & GM the largest value is of


13) The best measure or finding average rate of increase or decrease is


14) When there are three points of division at equal intervals then


15) In case Quartiles the number of points of division are


16) If an organization wants to give more importance to marks obtained in Personal interview than the marks obtained in GD & written test then the best method is


17) Mean is affected by


18) For locating mode graphically we have to use


19) Out of Mean, Median & Mode if we know any 2 of them then we can find the third using:-


20) Following measure cannot be used for further Algebric treatment:


21) We can find combined average of


22) The G.M of 8, 2 & 4 is


23) The H.M of 6, 14, 21 & 30


24) If " X " travels 16 km. at 4 km. an hour, 6 km. at 3 km. per hour and 4 km. at 2 km. per hour, what would be the average rate


25) In a moderately asymmetrical distribution the mode & mean are 32.1 & 35.4 respectively. Therefore the value of median


26) There are 60 women, 40 men and 50 children in a factory. The average number of units produced by women is 70, that by men is 80 and the average by children is 50. What is the average number of units produced per worker in the factory?


27) AM = 10 & GM = 8. Therefore the value of HM is


28) AM = 10 & GM = 8. Therefore the 2 observations are


29) If there are two groups with 10 & 20 observations and having Harmonic means 32 & 18 respectively then combined HM is


30) Out of Mean, Median & Mode the average which is between the other two is


31) The mean age of 21 students of a class is 16.5 yrs. One more students of age 14.3 yrs are added to this group. The mean age of the new group is


32) The mean age of combined group of men & women is 25 yrs, if the mean age of the group of men is 26 & that of women is 21, then the percentage of women & men in the group is


33) A.M = G.M = 25 for 15 observation. Therefore the H.M is


34) The mean, median and mode of weights of a group of 79 students are found to be 55, 56, 57 kgs respectively. 6 more students are added to the groups whose weights are 52, 52, 52.5, 59.5, 60, 60 kgs. What will be values of mean, median and mode of the combi


35) An automobile driver travels from plain to a hill station, 100 km. distance at an average speed of 30 km per hour. He then makes the return trip at average speed of 20 km per hour. What is his average speed over the entire distance (200 km)?


36) G.M is G.M of A.M & H.M


37) The arithmetic mean of the number letters of the words in the following paragraph: Social organization among tigers varies with the quality of habitate in a given area, the determinant of quality being Also find the arithmetic means.


38) Semi Inter Quartile Deviation means


39) The best measure of dispersion is


40) The best measure of dispersion in case of open ended class intervals is


41) Measure of Dispersion based on only extreme value is


42) Number of relation measures of dispersion is


43) Number of absolute measures of dispersion is


44) Co-efficient of variation is


45) Co-efficient of range when highest observation = 20 lowest observation = 10 is


46) The purpose of dispersion is to find


47) In case of quality control procedures the absolute measure of dispersion most commonly used is


48) The Standard Deviation of 5, 5, 5, 5, 5, 5, 5, 5 is


49) Standard Deviation = - 4. The statement is


50) Measure of Dispersion is affected by


51) We can find combined measure of Dispersion after combining 2 or more groups using


52) Mean Deviation from _________ is the least.


53) If all the observations are decreased by 5 then the new Standard Deviation is


54) Measure of Dispersion easiest to calculate


55) To find which group shows more variation we use.


56) Absolute value of the deviations are considered for calculation :


57) The measure of Dispersion based on all the observations


58) __________ is defined as the root mean square deviation


59) What is the coefficient of range for the following : 32, 35, 30, 38, 42, 29, 33, 37


60) Range is based on


61) The value of range will always be


62) The sum of the upper and the lower quartile is found to be 160 and their difference is 80. The value of the coefficient of quartile deviation is


63) The coefficient of quartile deviation for a certain data is 0.2. The sum of the two quartile is hundred. The value of two quartiles are


64) The value of the quartile deviation for certain data is 8.7. The value of the upper quartile is given to be 67. the value of lower quartile is


65) The coefficient of quartile deviation for the following values: 55, 56, 45, 46, 61, 58, 57, 55, 47, 51, 55, 51


66) Mean deviation from mean for the following set of values 10, 14, 7, 9, 4, 16 is


67) The mean deviation about median for the following values : 48, 50, 39, 46, 57 is


68) The co-efficient of M.D. from median for the following set 150, 151, 152, 156, 154, 160, 158 is


69) The median and S.D. of a distribution are 15 and 3 respectively. If each items is increased by 2, the new median and the new S.D. are


70) If sum of 10 items is 12 & the sum of their squares is 16.9 then S.D. is


71) The standard deviation of the following marks: -85, 87, 60, 67, 80, 83, 15


72) The age of 5 persons on their last birthday in the year 2005 was 19, 9, 12, 15 and 50. Therefore the mean and the variance of their ages are


73) The average weight of 150 students in a class was 58 kgs. There were 100 boys in a class whose average weight was 60 kgs. The variance of weights for the whole class was 15 and that for the group of boys was 9. Find the average weight and variance of weig


74) The first of the two groups has 100 items with mean 45 and variance 49. If the combined group has 250 items with mean 51 and variance 130, find the mean and the standard deviation of the second group.


75) The mean and standard deviation of the marks of a group of 100 students in a test in Mercantile Law were given to be 40 and 3 respectively. It was afterwards detected that the marks of one student were wrongly written as 37 instead of 73. Calculate the co


76) Co-efficient of variance for two groups. Group A and B are 60 % and 64 % respectively. Their standard deviations are 15 and 16 respectively. Group A contains 30 items while B contains 20 items. Find the standard deviation of all 50 items taken together.


77) The study of finding relation between two set of observation is called


78) If X and Y are two related variables then the relation y = a + bx is satisfied by


79) The AM of 1, 2, 3, ... is


80) If all the observations are equal K then mean is


81) If x and y are two related variables such that y = 3x + y and mean of x is 20 then mean of y is


82) The limits for finding middle 70% of the observations is


83) If GM of u is 5 and GM of v is 7 then GM of uv is


84) The formula for finding Co-efficient of variation is


85) If all the observations are measured by 10 % then the new Quartile Deviation is


86) Variation is defined as


87) If x and y are 2 related variables such that 3x + 2y - 14 = 0 and Quartile Deviation of x is 8.24 then quartile deviation of y is


88) M.D. (Me) and Median for x is .3 and 1 respectively. The co-efficient of M.D. (Me) of y is _________, when 2x + 3y - 7 = 0 where x and y is 2 related variables.


89) S.D. of x = 3. Therefore S.D. of 3-2x is


90) S.D. of x = 5. Variance of 7x - 3 is


91) Variance of x = 36. Therefore variance of y when 3x + 4y = 20 is