Class 9 Mathematics MCQ Statistics

Question : The mean for counting numbers through 100 is
(a) 47.5
(b) 51
(c) 50.5
(d) 49.5

Question : The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is
(a) 45
(b) 49.5
(c) 54
(d) 56

Question : To analyse the election results, the data is collected from a newspapers. The data thus collected is known as
(a) secondary data
(b) raw data
(c) grouped data
(d) primary data

Question : Out of sixteen observations arranged in ascending order, the 8th and 9th observations are 25 and 27. Then, the median is
(a) 26
(b) 27
(c) 25
(d) 26.5

Question : Class mark of a class interval U-L is
(a) U+L/2
(b) U-L/2
(c) U-L
(d) 2(U+L)

Question : A student collects information about the number of school going children in a locality consisting of a hundred households. The data collected by him is
(a) Arrayed data
(b) Grouped data
(c) Primary data
(d) Secondary data

Question : The mode of the given data: 4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9 is;
(a) 7
(b) 9
(c) 10
(d) 6

Question : The ratio of the sum of observations and the total number of observations is called:
(a) Mean
(b) Median
(c) Mode
(d) Central tendency

Question : The mean of x+2, x+3, x+4 and x-2 is:
(a) (x+7)/4
(b) (2x+7)/4
(c) (3x+7)/4
(d) (4x+7)/4

Question : The median of the data: 4, 6, 8, 9, 11 is
(a) 6
(b) 8
(c) 9
(d) 11

Question : Find the mode of the following data: 15, 14, 19, 20, 14, 15, 16, 14, 15, 18, 14, 19, 15, 17, 15.
(a) 14
(b) 15
(c) 16
(d) 17

Question : If each data in the observation is increased by 5, then the mean 
(a) Remains the same
(b) Increased by 5
(c) Decreased by 5
(d) None of the above

Question : The difference between the maximum and minimum values of the given observation is called 
(a) Class
(b) Class interval
(c) Classmark
(d) Range

Question : Find the maximum value if the range is 38 and the minimum value is 82.
(a) 60
(b) 76
(c) 120
(d) 82

Question : The mean of 1, 3, 4, 5, 7, 4 is m. The numbers 3, 2, 2, 4, 3, 3, p have mean m – 1 and median q. Then, p + q =
(a) 4
(b) 5
(c) 6
(d) 7

Question : The mean of 9 observations is 36. If the mean of the first 5 observations is 32 and that of the last 5 observations is 39, then the fifth observation is _____.
(a) 28
(b) 31
(c) 43
(d) 37

Question : if u_i = x_i – 25/10, Σf_iu_i = 20, Σf_i = 100. then x̅ =
(a) 23
(b) 24
(c) 27
(d) 25

Question : The average monthly income (in ₹) of certain agricultural workers is S and that of other workers is T. The number of agricultural workers are 11 times that of other workers. Then the average monthly income (in ₹)of all the workers is ____.
(a) S + T / 2
(b) S +11T / 2
(c) 1 / 11 + T
(d) 11S + T / 12

Question : A bus maintains an average speed of 60 km/hr while going from P to Q and maintains an average speed of 90 km/hr while coming back from Q to P. The average speed of the bus is _____.
(a) 75 km/hr
(b) 72 km/hr
(c) 70 km/hr
(d) 30 km/hr

Question : The mean weight of a class of 34 students is 46.5 kg. If the weight of the teacher is included, the mean rises by 500 g. Then the weight of the teacher is _____.
(a) 175 kg
(b) 62 kg
(c) 64 kg
(d) 72 kg

Question : Candidates of four school appear in a mathematics test. The data is as follows:

If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.
(a) 51
(b) 52
(c) 50
(d) 53

Question : The mean of six numbers is 21. If one number is excluded, then their mean is 19, the excluded number is ______.
(a) 31
(b) 26
(c) 28
(d) 25

Question : Find the mode for the following data.

(A) 20.22
(b) 19.47
(c) 21.12
(d) 20.14

Question : If 7, 2, 9 and 5 occur with frequencies 2, 3, 6 and 4 respectively, then the arithmetic mean is _____.
(a) 6.25
(b) 6.75
(c) 6.27
(d) 6.42

Question : Which of the following is not a measure of central tendency ?
(a) Mean
(b) Median
(c) Mode
(d) Standard deviation

Question : The mean of 20 observations is 12.5. Byerror, one observation was noted as –15 instead of 15. Then the correct mean is _____.
(a) 11.75
(b) 11
(c) 14
(d) 13

Question : The median of a given frequency distribution is found graphically with the help of ____.
(a) Histogram
(b) Frequency curve
(c) Frequency polygon
(d) Ogive 

Question : Find the value of p, if the mean of the following data is 20.

Question : The average temperature of the town in the first four days of a month was 58 degree. The average for the second, third, fourth and fifth days was 60 degree. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day?
(a) 64 degree
(b) 62 degree
(c) 56 degree
(d) None of these

Question : Fill in the blanks.
(i) For a given data with 110 observations the ‘less than ogive’ and ‘more than ogive’ intersect at (18, 20). The median of the data is P .
(b) The curve is drawn by taking upper limit of class interval along x-axis and cumulating frequency along y-axis is Q than ogive.
(c) The mean of 50 numbers is 18, the new mean will be R if each observation is increased by 4.
(d) The mean of seven consecutive natural numbers is 20, then the largest number is S and smallest number of them is T .
           P     Q       R    S      T
(a)    18   Less    22   23   17
(b)    20   More   25   22   16
(c)   18   More    22   24   18
(d)   20   Less     25   22    16

Question :The median of the following data is 525. Find the missing frequencies, if it is given that there are 100 observations in the data.

(A) 8, 14
(b) 11, 17
(c) 9, 15
(d) 10, 16

Question : Find the mean, median and mode of the following data.

       Mean    Median     Mode
(a) 50.67      62.67       64.5
(b) 60.67      52.42       64.5
(c) 62.4        61.67       65
(d) 62.4       62.42       65

Question : In an examination of 675 candidates of maximum marks 100 the examiner supplied the following information.

Calculate median and mode respectively of the percentage marks obtained.
(a) 47.58 , 46.33
(b) 49.12, 48.22
(c) 45.24, 46.22
(d) 47.58, 48.22