11th Commerce
Economics Class 11 -Chapter - 3 PARTITION VALUES
EXERCISE
Q.1. Give the correct option: | |
1.
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Statements that do not apply to Quartiles.
a. First arrange the values in ascending or descending order.
b. Observation can be divided into 4 parts.
c. They are represented as Q1 , Q2 and Q3.
d. Q2 is also know as median.
Option:
1. a
2. b and c
3. a, b and c
4. None of these
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2.
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D7 From the given data.
Data 4, 5, 6, 7, 8, 9, 10, 1 1, 12
Options:
1. 7
2. 9
3. 10
4. 12
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3.
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Statements related to partition values that are correct.
a. Exact divisions of percentiles into 100 parts gives 99 points
b. Deciles have total 9 parts
c. Quartiles are shown by Q1, Q2 and Q3
d. symbolically, percentiles and Deciles are shown by P and D
Option:
1. a and c
2. a and d
3. a, b and c
4. a ,c and d
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Options :
1- c, 2-a, 3-b
1- c, 2-a, 3-b
1- c, 2-b, 3-a
1- a, 2-b, 3-c
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Q.3 Give economic terms: | |
1.
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Procedure for dividing the data into equal parts
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Ans.
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partitioning.
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2.
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Value that divides the Series into ten equal parts.
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Ans.
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Deciles.
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3.
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Value that divides the whole set of observations into four equal parts.
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Ans.
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Quartiles.
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Q.4 Solve the following :
1.
= Size of 6.4th observation+0.4(7th observation – 6th observatio
=12+0.4 (16-12)
=12+0.4 (4)
=12+1.6
=13.6
D4= 13.6
=size of 26 (0.16)th observation
=Size of 4.16 th observation
=size of 4th observation +0.16(5th observation -4th observation )
=9+0.16 (10-9)
=9+0.16(1)
=9+0.16
=9.16
P26=9.16
Ans : Q1 = 9, D4 =13.6, P26 =9.16
Arrange the data of the income in an ascending order.
(i.e. from lowest number to highest as shown below) and the out the cumulative frequency .
D5 =R.S 4 Lakhs
Ans:
Q3 =RS. 5 lakhs,
D5 = RS. 4 Lakhs ,
P35 = RS. 4 Lakhs
3.
Q. 5. State with reasons whether you agree or disagree with the following statements : | |
1.
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Partition values have application only in theory but
not in practice.
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Ans.
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No, I do not agree with this statement.
Reasons:
1. Partition values like quartiles, deciles, percentiles divide the given set of observations into equal number of parts. So they have application in theory.
2. Quartiles, deciles, percentiles are very useful to study the concepts of population, unemploy ment, poverty, etc.
3. Quartiles, deciles, percentiles are also useful in practice while framing various government policies related to removal of poverty, inequality, measurement of health indicators, etc. Thus, partition values have applications in theory as well as in practice.
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2.
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Average can misinterpret the representative value.
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Ans.
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Yes, I agree With this statement.
Reasons :
1. Arithmatic mean, mode and median are the types of averages which have certain limitations.
2. Arithmatic mean gets affected by extreme values. Its value may not exist in the given series. Mode does not have any significance When the data given is small and none of the items repeat. In case of median, the array of huge data is laborious.
3. Arithmatic mean, mode and median are not amenable to mathematical treatment.
Thus, average can misinterpret the representative value.
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3.
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Median is also known as second quartile.
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Ans.
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Yes, I agree with this statement.
Reasons :
1. Median divides data into two equal parts.
2. Quartile divides data into four equal parts.
3. Thus, the value of median is equal to value of second quartile.
Therefore, median is also known as second quartile.
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Q. 6. Answer the following questions on the basis of thegiven data:
1. Write the formula of Q1 and Q3.
2. Find out the median of the above data?
3. Find out the cumulative frequency of the last value in the above data.
4. Find out the value of 'n' in the above data.
Ans.
Thank You
