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XII (12) HSC

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# Chapter 3: Partition Values

Balbharati solutions for Economics 11th Standard HSC Maharashtra State Board Latest edition

QUESTION

Exercise Q.1 | Q 1 | Page 22

Give the correct option:

Statements that do not apply to Quartiles.

1. First, arrange the values in ascending or descending order.

2. Observation can be divided into 4 parts.

3. They are represented as Q1, Q2 and Q3.

4. Q2 is also known as a median.

• b and c

• a, b and c

• None of these

SOLUTION

QUESTION

Exercise Q.1 | Q 2 | Page 22

Give the correct option:

D7 From the given data.

Data - 4, 5, 6, 7, 8, 9, 10, 1 1, 12

• 7

• 9

• 10

• 12

SOLUTION

QUESTION

Exercise Q.1 | Q 3 | Page 22

Give the correct option:

Statements related to partition values that are correct.

1. Exact divisions of percentiles into 100 parts gives 99 points

2. Deciles have total 9 parts

3. Quartiles are shown by Q1, Q2  and Q3

4. symbolically, percentiles and Deciles are shown by P and D

• a and c

• a and b

•  a, b and c

• a ,c and d

SOLUTION

QUESTION

Exercise Q.2 | Q 1 | Page 22

Choose the correct pair:

 Group A Group B 1) Quartiles a) Dj = size of j(n+110)th Observation 2) Deciles b) Pk=l+(kn100–cff)×h 3) Percentiles c) Qi=l+(in4–cff)×h
• 1-b, 2-c, 3-a

• 1-c, 2-a, 3-b

• 1- c, 2-b, 3-a

• 1-a, 2-b, 3-c

SOLUTION

QUESTION

Exercise Q.3 | Q 1 | Page 22

Give economic term:

Procedure for dividing the data into equal parts

SOLUTION

QUESTION

Exercise Q.3 | Q 2 | Page 22

Give economic term:

value that divides the Series into ten equal parts.

SOLUTION

QUESTION

Exercise Q.3 | Q 3 | Page 22

Give economic term:

Value that divides the whole set of observations into four equal parts.

SOLUTION

QUESTION

Exercise Q.4 | Q 1 | Page 22

Solve the following

Calculate Q1, D4, and P26 for the following data.

 18, 24, 45, 29, 4, 7, 28, 49, 16, 26, 25,12, 10 , 9, 8

SOLUTION

QUESTION

Exercise Q.4 | Q 2 | Page 23

Solve the following :

Calculate of Q3, D5, and P35 for the given data

 Income (in lakhs ₹) 1 2 3 4 5 6 No. of family 2 5 20 25 15 12

SOLUTION

QUESTION

Exercise Q.4 | Q 3 | Page 23

Solve the following :

Find out P50 for the following data.

 Wages (in ₹) (x) Number of workers 0-20 4 20-40 6 40-60 10 60-80 25 80-100 15

SOLUTION

QUESTION

Exercise Q.4 | Q 4 | Page 23

Calculate Q3 for the following data.

 Sales (in lakhs ₹) 10-20 20-30 30-40 40-50 50-60 60-70 No. of firms 20 30 70 48 32 50

SOLUTION

QUESTION

Exercise Q.4 | Q 5 | Page 23

Solve the following :

Calculate D7 for the following data.

 Profit (in crores ₹) 10-20 20-30 30-40 40-50 50-60 60-70 No. of firms 20 30 70 48 32 50

SOLUTION

QUESTION

Exercise Q.4 | Q 6 | Page 23

Solve the following :

Calculate P15 for the following data

 Investment (₹ in lakhs) 0-10 10-20 20-30 30-40 40-50 50-60 No. of firms 5 10 25 30 20 10

SOLUTION

QUESTION

Exercise Q.5 | Q 1 | Page 23

State with reasons whether you agree or disagree with the following statement:

Partition values have application only in theory but not in practice.

• Agree

• Disagree

SOLUTION

QUESTION

Exercise Q.5 | Q 2 | Page 23

State with reasons whether you agree or disagree with the following statement:

Average can misinterpret the representative value.

• Agree

• Disagree

SOLUTION

QUESTION

Exercise Q.5 | Q 3 | Page 23

State with reasons whether you agree or disagree with the following statement:

Median is also known as the second quartile.

• Agree

• Disagree

SOLUTION

QUESTION

Exercise Q.6 | Q 1 | Page 23

Answer the following questions on the basis of the given data :

 Marks 10 20 30 40 50 No. of Students 4 7 13 8 6

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

SOLUTION

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