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32. Statistics
Exercise 32.1
1 A. Question
Calculate the mean deviation about the median of the following observation :
3011, 2780, 3020, 2354, 3541, 4150, 5000
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 3011, 2780, 3020, 2354, 3541, 4150, 5000 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
2354, 2780, 3011, 3020, 3541, 4150, 5000
Therefore, The Median = 3020
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 649.42
1 B. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 42, 55, 63, 46, 54, 44
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38,42,44,46,48,54,55,63,70
Here the Number of observations are Even then Median = 
Page 2


32. Statistics
Exercise 32.1
1 A. Question
Calculate the mean deviation about the median of the following observation :
3011, 2780, 3020, 2354, 3541, 4150, 5000
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 3011, 2780, 3020, 2354, 3541, 4150, 5000 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
2354, 2780, 3011, 3020, 3541, 4150, 5000
Therefore, The Median = 3020
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 649.42
1 B. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 42, 55, 63, 46, 54, 44
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38,42,44,46,48,54,55,63,70
Here the Number of observations are Even then Median = 
Therefore, The Median = 47
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.6
1 C. Question
Calculate the mean deviation about the median of the following observation :
34, 66, 30, 38, 44, 50, 40, 60, 42, 51
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 34, 66, 30, 38, 44, 50, 40, 60, 42, 51 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
30, 34, 38, 40, 42, 44, 50,51, 60, 66
Here the Number of observations are Even then the middle terms are 42 and 44
Therefore, The Median =  = 43
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Page 3


32. Statistics
Exercise 32.1
1 A. Question
Calculate the mean deviation about the median of the following observation :
3011, 2780, 3020, 2354, 3541, 4150, 5000
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 3011, 2780, 3020, 2354, 3541, 4150, 5000 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
2354, 2780, 3011, 3020, 3541, 4150, 5000
Therefore, The Median = 3020
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 649.42
1 B. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 42, 55, 63, 46, 54, 44
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38,42,44,46,48,54,55,63,70
Here the Number of observations are Even then Median = 
Therefore, The Median = 47
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.6
1 C. Question
Calculate the mean deviation about the median of the following observation :
34, 66, 30, 38, 44, 50, 40, 60, 42, 51
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 34, 66, 30, 38, 44, 50, 40, 60, 42, 51 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
30, 34, 38, 40, 42, 44, 50,51, 60, 66
Here the Number of observations are Even then the middle terms are 42 and 44
Therefore, The Median =  = 43
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
1 D. Question
Calculate the mean deviation about the median of the following observation :
22, 24, 30, 27, 29, 31, 25, 28, 41, 42
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 22, 24, 30, 27, 29, 31, 25, 28, 41, 42are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
22, 24, 25, 27, 28, 29, 30, 31, 41, 42
Here the Number of observations are Even then the middle terms are 28 and 29
Therefore, The Median =  = 28.5
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
Page 4


32. Statistics
Exercise 32.1
1 A. Question
Calculate the mean deviation about the median of the following observation :
3011, 2780, 3020, 2354, 3541, 4150, 5000
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 3011, 2780, 3020, 2354, 3541, 4150, 5000 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
2354, 2780, 3011, 3020, 3541, 4150, 5000
Therefore, The Median = 3020
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 649.42
1 B. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 42, 55, 63, 46, 54, 44
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38,42,44,46,48,54,55,63,70
Here the Number of observations are Even then Median = 
Therefore, The Median = 47
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.6
1 C. Question
Calculate the mean deviation about the median of the following observation :
34, 66, 30, 38, 44, 50, 40, 60, 42, 51
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 34, 66, 30, 38, 44, 50, 40, 60, 42, 51 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
30, 34, 38, 40, 42, 44, 50,51, 60, 66
Here the Number of observations are Even then the middle terms are 42 and 44
Therefore, The Median =  = 43
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
1 D. Question
Calculate the mean deviation about the median of the following observation :
22, 24, 30, 27, 29, 31, 25, 28, 41, 42
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 22, 24, 30, 27, 29, 31, 25, 28, 41, 42are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
22, 24, 25, 27, 28, 29, 30, 31, 41, 42
Here the Number of observations are Even then the middle terms are 28 and 29
Therefore, The Median =  = 28.5
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
1 E. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 63, 42, 55, 44, 53, 47
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 63, 42, 55, 44, 53, 47 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38, 43, 44, 47, 48, 53, 55, 63, 70
Here the Number of observations are Even then the middle terms are 47 and 48.
Therefore, The Median =  = 47.5
Deviation |d| = |x-Median|
And, The number of observations are 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.4
2 A. Question
Calculate the mean deviation from the mean for the following data :
4, 7, 8, 9, 10, 12, 13, 17
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from mean.
Formula Used:
Explanation: Here, Observations 4, 7, 8, 9, 10, 12, 13, 17 are Given.
Deviation |d| = |x-Mean|
Page 5


32. Statistics
Exercise 32.1
1 A. Question
Calculate the mean deviation about the median of the following observation :
3011, 2780, 3020, 2354, 3541, 4150, 5000
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 3011, 2780, 3020, 2354, 3541, 4150, 5000 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
2354, 2780, 3011, 3020, 3541, 4150, 5000
Therefore, The Median = 3020
Deviation |d| = |x-Median|
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 649.42
1 B. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 42, 55, 63, 46, 54, 44
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 42, 55, 63, 46, 54, 44 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38,42,44,46,48,54,55,63,70
Here the Number of observations are Even then Median = 
Therefore, The Median = 47
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.6
1 C. Question
Calculate the mean deviation about the median of the following observation :
34, 66, 30, 38, 44, 50, 40, 60, 42, 51
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 34, 66, 30, 38, 44, 50, 40, 60, 42, 51 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
30, 34, 38, 40, 42, 44, 50,51, 60, 66
Here the Number of observations are Even then the middle terms are 42 and 44
Therefore, The Median =  = 43
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
1 D. Question
Calculate the mean deviation about the median of the following observation :
22, 24, 30, 27, 29, 31, 25, 28, 41, 42
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 22, 24, 30, 27, 29, 31, 25, 28, 41, 42are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
22, 24, 25, 27, 28, 29, 30, 31, 41, 42
Here the Number of observations are Even then the middle terms are 28 and 29
Therefore, The Median =  = 28.5
Deviation |d| = |x-Median|
And, The number of observations is 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.7
1 E. Question
Calculate the mean deviation about the median of the following observation :
38, 70, 48, 34, 63, 42, 55, 44, 53, 47
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 38, 70, 48, 34, 63, 42, 55, 44, 53, 47 are Given.
Since, Median is the middle number of all the observation,
So, To Find the Median, Arrange the numbers in Ascending order, we get
34, 38, 43, 44, 47, 48, 53, 55, 63, 70
Here the Number of observations are Even then the middle terms are 47 and 48.
Therefore, The Median =  = 47.5
Deviation |d| = |x-Median|
And, The number of observations are 10.
Now, The Mean Deviation is
Mean Deviation = 
Hence, The Mean Deviation is 8.4
2 A. Question
Calculate the mean deviation from the mean for the following data :
4, 7, 8, 9, 10, 12, 13, 17
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from mean.
Formula Used:
Explanation: Here, Observations 4, 7, 8, 9, 10, 12, 13, 17 are Given.
Deviation |d| = |x-Mean|
Mean = 
Mean of the Given Observations = 
And, The number of observations is 8.
Now, The Mean Deviation is
Mean Deviation = 
Mean Deviation of the given Observations = 
Hence, The Mean Deviation is 3
2 B. Question
Calculate the mean deviation from the mean for the following data :
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17
Answer
Given, Numbers of observations are given.
To Find: Calculate the Mean Deviation from Mean.
Formula Used: Mean Deviation = 
Explanation: Here, Observations 13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17 are Given.
Deviation |d| = |x-Mean|
Mean = 
Mean of the Given Observations = 
And, The number of observations is 12.
Now, The Mean Deviation is
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Document Description: RD Sharma Class 11 Solutions Chapter - Statistics for Commerce 2024 is part of Mathematics (Maths) Class 11 preparation. The notes and questions for RD Sharma Class 11 Solutions Chapter - Statistics have been prepared according to the Commerce exam syllabus. Information about RD Sharma Class 11 Solutions Chapter - Statistics covers topics like and RD Sharma Class 11 Solutions Chapter - Statistics Example, for Commerce 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Class 11 Solutions Chapter - Statistics.
Introduction of RD Sharma Class 11 Solutions Chapter - Statistics in English is available as part of our Mathematics (Maths) Class 11 for Commerce & RD Sharma Class 11 Solutions Chapter - Statistics in Hindi for Mathematics (Maths) Class 11 course. Download more important topics related with notes, lectures and mock test series for Commerce Exam by signing up for free. Commerce: RD Sharma Class 11 Solutions Chapter - Statistics | Mathematics (Maths) Class 11 - Commerce
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