CBSE Class 10 Mathematics Statistics MCQs Set 01

Question : The algebraic sum of the deviations of a frequency distribution from its mean is
a) 0
b) a non-zero number
c) always negative
d) always positive
Answer : 0

Question : The mode of a frequency distribution can be determined graphically from
a) Histogram
b) Frequency polygon
c) Frequency curve
d) Ogive
Answer : A

Question : The median of a given frequency distribution is found graphically with the help of
a) Ogive
b) Bar graph
c) Frequency polygon
d) Histogram
Answer : A

Question : While computing mean of a grouped data, we assume that the frequencies are
a) centered at the class marks of the classes
b) centered at the lower limits of the classes
c) centered at the upper limits of the classes
d) evenly distributed over all the classes
Answer : A

Question : The graphical representation of a cumulative frequency distribution is called
a) an Ogive
b) Frequency polygon
c) Histogram
d) Bar graph
Answer : A

Question : Construction of a cumulative frequency table is useful in determining the
a) median
b) mode
c) all of the above
d) mean
Answer : A

Question : The abscissa of the point of intersection of the less than type and of the more than type cumulative frequency curves of a grouped data gives its
a) median
b) mean
c) mode
d) all of these
Answer : A

Question : The mean of squares of first five natural numbers is-
a) 25 
b) 11 
c) 25 
d) 11/5
Answer : B

Question : If median = (mode + 2 mean) K, then K is equal to -
a) 3 
b) 1/3 
c) 2 
d) none of these
Answer : B

Question : In an arranged discrete series in which total numbers of observation 'n' is even, then its median is -
a) n/2  th term 
b) n/2+ 1th term
c) the mean of n/2th and n/2+ 1th term
d) none of these
Answer : C

Question : If α variable takes the discrete values : α + 4, α -7/2 ,α -5/2 , α–3, α– 2, α +1/2 , α -1/2 , α+ 5, (α> 0) then the median is -
a) α -5/4 
b) α -1/2 
c) α – 2 
d) α +5/4
Answer : α -5/4 

Question : For the given data mean and mode are 24, 21 then the median is -
a) 22 
b) 23 
c) 24 
d) 21
Answer :23 

Question : If the mode of the following data 4, 3, 2, 5, p, 4, 5, 1, 7, 3, 2, 1 is 3, then value of p is -
a) 4 
b) 3 
c) 2 
d) 11
Answer : 3

Question : The curve drawn by taking upper limits along x-axis and cumulative frequency along y-axis is :
a) frequency polygon 
b) more than ogive 
c) less than ogive 
d) none of these
Answer : C

Question : For ‘more than ogive’ the x-axis represents :
a) upper limits of class-intervals 
b) mid-values of class-intervals
c) lower limits of class-intervals 
d) frequency
Answer : C

Question : Ogive is the graph of :
a) lower limits and frequency
b) upper limits and frequency
c) lower/upper limits and cumulative frequency
d) none of these
Answer : C