CBSE Class 11 Mathematics Statistics Assignment Set A

Multiple Choice Questions

Question. The scores of a batsman in 10 innings are 48, 80, 58, 44, 52, 65, 73, 56, 64, 54, then the mean deviation from the median is
(a) 7.6
(b) 8.6
(c) 9.6
(d) 10.1
Answer : B

Question. Mean deviation about the median for the data
3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21 is
(a) 4.27
(b) 5.24
(c) 5.27
(d) 4.24
Answer : C

Question. If mean and standard deviation of 100 items are 50 and 4 respectively, then the sum of all the item and the sum of the squares of item is
(a) 5000, 251600
(b) 5000, 256100
(c) 4000, 215600
(d) 4000, 255600
Answer : A

Question. Consider the following data 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
If 2 is added to each number, then variance of the numbers so obtained is
(a) 6.5
(b) 2.87
(c) 3.87
(d) 8.25
Answer : D

Question. 38, 70, 48, 40, 42, 55, 63, 46, 54, 44.
The mean deviation about the mean for the given data is
(a) 8.4
(b) 7.4
(c) 6.3
(d) 4
Answer : A

Question. The mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12 respectively are
(a) 9, 9.50
(b) 8, 8.50
(c) 9, 9.25
(d) 8, 8.25
Answer : C

Question. 6, 7, 10, 12, 13, 4, 8, 12
The variance for the given data is
(a) 8.25
(b) 9.25
(c) 10.5
(d) 8.9
Answer : B

Question. Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then, variance of 4, 8, 10, 12, 16, 34 will be
(a) 23.33
(b) 25.33
(c) 46.66
(d) 48.66
Answer : C

Question. 6, 5, 5.25, 5.5, 4.75, 4.5, 6.25, 7.75, 9.
The mean deviation from the mean for the given data is
(a) 1.1
(b) 2.1
(c) 4.1
(d) 5.1
Answer : A

Question. When tested, the lives (in hours) of 5 bulbs were noted as follows 1357, 1090, 1666, 1494, 1623
The mean deviations (in hours) from their mean is
(a) 178
(b) 179
(c) 220
(d) 356
Answer : A

Question. Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. If 1 is added to each number the variance of the numbers, so obtained is
(a) 6.5
(b) 2.87
(c) 3.87
(d) 8.25
Answer : D

Question. The standard deviation for the data 6, 7, 10, 12, 13, 4, 8, 12 is
(a) √8.25
(b) √7.25
(c) √9.25
(d) √10.25
Answer : C

Question. 45, 60, 62, 60, 50, 65, 58, 68, 44, 48
The variance for the given data is
(a) 56.2
(b) 66.2
(c) 65.2
(d) 55
Answer : B

Assertion-Reasoning MCQs

Directions Each of these questions contains two statements Assertion (A) and Reason (R). Each of the questions has four alternative choices, any one of the which is the correct answer. You have to select one of the codes (a), (b), (c) and (d) given below.
(a) A is true, R is true; R is a correct explanation of A.
(b) A is true, R is true; R is not a correct explanation of A.
(c) A is true; R is false
(d) A is false; R is true.

Question. Assertion (A) The weights (in kg) of 15 students are as follows
31, 35, 27, 29, 32, 43, 37, 41, 34, 28, 36, 44, 45, 42, 30
If the weight 44 kg is replaced by 46 kg and 27 kg is by 25 kg, then new median is 35.
Reason (R) The mean deviation from the median of the weights (in kg) 54,
50, 40, 42, 51, 45, 47, 57 is 4.78.
Answer : B

Question. Assertion (A) The proper measure of dispersion about the mean of a set of observations i.e. standard deviation is expressed as positive square root of the variance.
Reason (R) The units of individual observations xi and the unit of their mean are different that of variance. Since, variance involves sum of squares of (x − x ).
Answer : A

Question. Assertion (A) If each of the observations x1, x2 , …, xn is increased by a, where a is a negative or positive number, then the variance remains unchanged.
Reason (R) Adding or subtracting a positive or negative number to (or from) each observation of a group does not affect the variance.
Answer : A

Question. If for a distribution ∑(x − 5) = 3, ∑(x − 5)² = 43 and the total number of items is 18.
Assertion (A) Mean of the distribution is 4.1666.
Reason (R) Standard deviation of the distribution is 1.54.
Answer : D

Case Based MCQs

You are given some observations as 34, 66, 30, 38, 44, 50, 40, 60, 42, 51.

Based on these observations, answer the following questions.'

Question. The mean of the given data is
(a) 40.5
(b) 45.0
(c) 45.5
(d) 50.5
Answer : C

Question. The mean deviation about the mean is
(a) 10.0
(b) 9.5
(c) 9.1
(d) 9.0
Answer : D

Question. The median of the given data is
(a) 41
(b) 42
(c) 43
(d) 44
Answer : C

Question. The mean deviation about the median is
(a) 8.0
(b) 8.3
(c) 8.5
(d) 8.7
Answer : D

Question. The difference between mean deviation about the mean and mean deviation about the median is
(a) 0.1
(b) 0.2
(c) 0.3
(d) 0.4
Answer : C

Consider the data

x_i  4  8 11  17  20  24  32
f_i  3  5   9    5   4    3     1

Based on above information answer the following questions

Question. Mean of the given data is
(a) 10
(b) 12
(c) 14
(d) 15
Answer : C

Question. Variance of the given data is
(a) 40
(b) 45.8
(c) 41.5
(d) 39.8
Answer : B

Question. Standard deviation of the given data is
(a) 6.77
(b) 5
(c) 4.8
(d) 3.19
Answer : A

Q1. Define statistics. What are the limitations of it?

Q2. Write down the importance of statistics from the point of view of business planning and in business?

Q3. What are types of data? Explain the different method of collecting primary data?

Q4. What do you understand by “Questionnaire”? What are the essential characteristics of a good questionnaire?

Q5. What do you mean by secondary data? Explain various methods of collecting secondary data.

Q6. What do you understand by discrete and continuous variables?

Q7. Find out Arithmetic mean from the following series: ‐ (stepdeviation method)

Q8. Draw ‘Less than ogive curve and More than ogive curve’ on the basis of this data:

Marks No. of students

  0‐10   4
10‐20 10
20‐30 14
30‐40 20
40‐50   6
50‐60   3
Total 57

Q9. Calculate mode by using grouping method.

Marks No. of students

  0‐10   4
10‐20 10
20‐30 25
30‐40 15
40‐50 10
50‐60   6

Q10. Calculate median.

Marks No. of students

10‐20 14
20‐30 12
30‐40 15
40‐50 10
50‐60  6

INDIAN ECONOMY

Q1. What do you understand by structural changes?

Q2. Explain semi‐feudal economy.

Q3. What are the three sectors of occupational structure?

Q4. What do you mean by depleted and stagnant economy?

Q5. When was planning commission constituted?

Q6. What do mean by mixed economy?

Q7. What dare the objectives of planning?

Q8. Give achievement and failure of planning.

Q9. What are the objectives of WTO?

Q10. Mention three causes that forced India to follow economic reforms.

Q11. Give the features of Liberalisation and Globalisation.

Q12. Define Privatisation. What measures were taken to privatise Indian Economy?

Please click the below link to access CBSE Class 11 Mathematics Statistics Assignment Set A