CBSE Class 10 Mathematics Statistics Assignment Set A

Question. Which of the following is a measure of central tendency?
(a) Frequency
(b) Cumulative frequency
(c) Mean
(d) Class-limit
Answer : C

Question. If the arithmetic mean of the following distribution is 47, then the value of p is

(a) 10
(b) 11
(c) 13
(d) 12
Answer : D

Question. The times (in seconds) taken by 150 atheletes to run a 110 m hurdle race are tabulated below

The number of atheletes who completed the race in less than 14.6 s is
(a) 11
(b) 71
(c) 82
(d) 130
Answer : C

Question. If the difference of mode and median of a data is 24, then the difference of median and mean is
(a) 12
(b) 24
(c) 8
(d) 36
Answer : A

Question. If xi ’s are the mid-points of the class intervals of grouped data, f_i ’s are the corresponding  frequencies and x is the mean, then Σ(f_i x_i − x) is equal to
(a) 0
(b) −1
(c) 1
(d) 2
Answer : A

Question. For the following distribution

The modal class is
(a) 0-20
(b) 20-30
(c) 30-40
(d) 50-60
Answer : C

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

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

Question. A student noted the number of cars passing through a spot on a road for 100 periods each of 3 min and summarised in the table given below.

Then, the mode of the data is
(a) 34.7
(b) 44.7
(c) 54.7
(d) 64.7
Answer : B

Question. For the following distribution

The modal class is
(a) 10-20
(b) 20-30
(c) 30-40
(d) 50-60
Answer : C

Question. Consider the following distribution

The frequency of the class 30-40 is
(a) 3
(b) 4
(c) 48
(d) 51
Answer : A

Question. The mean, mode and median of grouped data will always be
(a) same
(b) different
(c) depends on the type of data
(d) None of the above
Answer : C

Question. Consider the following frequency distribution

The upper limit of the median class is
(a) 17
(b) 17.5
(c) 18
(d) 18.5
Answer : B

Question. Mode of the following grouped frequency distribution is

(a) 13.6
(b) 15.6
(c) 14.6
(d) 16.6
Answer : C

Question. If the number of runs scored by 11 players of a cricket team of India are 5, 19, 42, 11, 50, 30, 21, 0, 52, 36, 27, then median is
(a) 30
(b) 32
(c) 36
(d) 27
Answer : D

Question. Consider the following frequency distribution

The difference of the upper limit of the median class and the lower limit of the modal class is
(a) 0
(b) 19
(c) 20
(d) 38
Answer : C

Question. The mean and median of a distribution are 14 and 15 respectively. The value of mode is
(a) 16
(b) 17
(c) 13
(d) 18
Answer : B

Case Based Study

A. Analysis of Water Consumption in a Society An inspector in an enforcement squad of department of water resources visit to a society of 100 families and record their monthly consumption of water on the basis of family members and wastage of water, which is summarise in the following table.

Based on the above information, answer the following questions.

Question. The value of x + y is
(a) 50
(b) 42
(c) 25
(d) 200
Answer : C

Question. If the median of the above data is 32, then x is equal to
(a) 10
(b) 8
(c) 9
(d) None of these
Answer : C

Question. What will be the upper limit of the modal class?
(a) 40
(b) 60
(c) 65
(d) 70
Answer : A

Question. If A be the assumed mean, then A is always
(a) > (Actual mean)
(b) < (Actual Mean)
(c) = (Actual Mean)
(d) Can’t say
Answer : D

Question. The class mark of the modal class is
(a) 25
(b) 35
(c) 30
(d) 45
Answer : B

B. As the demand for the products grew a manufacturing company decided to purchase more machines. For which they want to know the mean time required to complete the work for a worker.
The following table shows the frequency distribution of the time required for each machine to complete a work.

Based on the above information, answer the following questions.

Question. The class mark of the modal class 30-34 is
(a) 17
(b) 22
(c) 27
(d) 32
Answer : D

Question. If xi ’s denotes the class mark and f_i ’s denotes the  corresponding frequencies for the given data, then the value of Σx_i f_i equals to
(a) 3600
(b) 3205
(c) 3670
(d) 3795
Answer : D

Question. The mean time required to complete the work for a worker is
(a) 27.10 h
(b) 23 h
(c) 24 h
(d) None of the above
Answer : A

Question. If a machine work for 10 h in a day, then approximate time required to complete the work for a machine is
(a) 3 days
(b) 4 days
(c) 5 days
(d) 6 days
Answer : A

Question. The measure of central tendency is
(a) Mean
(b) Median
(c) Mode
(d) All of these
Answer : D

C. Direct income in India was drastically impacted due to the COVID-19 lockdown. Most of the companies decided to bring down the salaries of the employees upto 50%.
The following table shows the salaries (in percent) received by 50 employees during lockdown.

Based on the above information, answer the following questions.

Question. Total number of persons whose salary is reduced by more than 20% is
(a) 40
(b) 46
(c) 30
(d) 22
Answer : B

Question. Total number of persons whose salary is reduced by atmost 40% is
(a) 32
(b) 40
(c) 46
(d) 18
Answer : A

Question. The modal class is
(a) 50-60
(b) 60-70
(c) 70-80
(d) 80-90
Answer : A

Question. The median class of the given data is
(a) 50-60
(b) 60-70
(c) 70-80
(d) 80-90
Answer : B

Question. The empirical relationship among mean, median and mode is
(a) 3 Median = Mode +2 Mean
(b) 3 Median = Mode −2 Mean
(c) Median = 3Mode −2 Mean
(d) Median =3Mode +2 Mean
Answer : A

Please click the link below to download CBSE Class 10 Mathematics Statistics Assignment Set A