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1.

Complete the following statement.1. 50th percentile is equal to __________2. The value of the first quartile is __________3. The value of the 3rd quartile is __________4. Value that divides the whole set of observation into four equal parts is called__________5. 29th June is celebrated as __________6. Value which divide the data into required number of equal parts are called __________7. Fractile graphical analysis, a statistical method was devised by __________

Answer»

1. 5th decile

2. \((\frac{n+1}{4})^{th}\)observation

3. \((\frac{n+1}{4})^{th}\)Observation

4. Quartile

5. Quartile

6. partition values

7. Prof. P. C. Mahalanobis.

2.

State with reasons whether you agree or disagree with the following statement:Median is also known as the second quartile.

Answer»

Yes, I agree with the statement. 

  • Median is the middlemost value in the arranged data. 
  • It is the value that divides the series into two equal parts, so that the number of items above it, is equal to the number of items below it. 
  • It is not affected by extreme values.
  • Median = n/2 and Q = 2 (n/4) i.e n/2. 
  • Therefore, the Median is equal to the second quartile.
3.

Find the odd word out:1. Percentile, Mercantile, Decile, Quartile2. Mean, Mode, Meridian, Median3. P.C.Mahalanobis, Statistics Day, Fractile Graphical Analysis, Demand Analysis.4. Percentile, Health indicator, Quartile, Household income.

Answer»

1. Mercantile

2. Meridian

3. Demand Analysis

4. Quartile

4.

Answer the following question on the basis of the given table:Marks30140204050No, of Students134786Find out the value of ‘n’ in the above data.

Answer»

Correct Answer is  n = 38

5.

Answer the following question on the basis of the given table:Marks3010204050No. of Students14786Find out the cumulative frequency of the last value in the above data.

Answer»

Cumulative frequency = 38.

6.

Calculate Q , D , and P for the given data.Income (in lakhs ₹)123456No. of family2520251512

Answer»

Q3 = ₹ 5 Lakhs, D5 = ₹ 4 Lakhs, P35 = ₹ 4 Lakhs

7.

Find out P for the following data:Wages (in ₹) (x)   Number of workers0-20420-40640-601060-802580-10015

Answer»

P50 =  ₹ 68 Wages

8.

Calculate Q , D , and P for the following data. 18, 24, 45, 29, 4, 7, 28, 49, 16, 26, 25, 12, 10, 9, 8

Answer»

Q = 9, D = 13.6, P = 9.16

9.

Calculate Q3 for the following data:Sales (in lakhs ₹)   10-2020-3030-4040-5050-6060-70No. of firms203070483250

Answer»

Q3 = ₹ 56.09 Lakhs

10.

Calculate P15 for the following data.Invetment (₹ in lakhs)0-1010-2020-3030-4040-5050-60No. of firms51025302010

Answer»

P15 = ₹ 20 lakhs

11.

Give economic terms:The value that divides the whole set of observations into four equal parts.

Answer»

Correct Answer is Quartiles

12.

State with reasons whether you agree or disagree with the following statement:Partition values have application only in theory but not in practice.ORPartition values are not useful in economics.

Answer»

No, I do not agree with the statement.

  • Partition values like quartiles are useful to economists to know the final information related to income, sales, stock data, etc. 
  • Also, deciles and percentiles help economists to measure in the detail the poverty line, inequality of income, household, wealth, etc
  • Hence, partition values are useful in Economics.
13.

Give economic terms:The value that divides the series into ten equal parts.

Answer»

Correct Answer is Deciles

14.

Calculate D7 for the following data.Profit (in cross ₹)10-2020-3030-4040-5050-6060-70No. of firms203070483250

Answer»

D7 = ₹ 52.1875

15.

Statements related to partition values that are correct. (a) Exact divisions of percentiles into 100 parts gives 99 points (b) Deciles have total of 9 parts (c) Quartiles are shown by Q , Q , and Q (d) Symbolically, Percentiles and Deciles are shown by P and DOptions:(1) a and c (2) a and b (3) a, b and c (4) a, c and d

Answer»

Correct option is (4) a, c and d

16.

Give economic terms:Procedure for dividing the data into equal parts.

Answer»

Correct Answer is Partitioning

17.

D7 from the given data.Data – 4, 5, 6, 7, 8, 9, 10, 11, 12 Options: (1) 7(2) 9 (3) 10 (4) 12

Answer»

Correct option is (1) 7

18.

Identify the correct pairs from the given options:Group AGroup B1) Quartilesa) D = size of j\(\left(\cfrac{n+1}{10}\right)\) th observation2) Decliesb) Pk = I + \(\left(\cfrac{\frac{kn}{100}-cf }{f}\right)\times\,h\)3)Percentilesc) Qi = I + \(\left(\cfrac{\frac{in}{4}-cf }{f}\right)\times\,h\)Options: (1) 1-b, 2-c, 3-a (2) 1-c, 2-a, 3-b (3) 1-c, 2-b, 3-a (4) 1-a, 2-b, 3-c

Answer»

Correct option is Correct Pair: (2) 1-c, 2-a, 3-b

19.

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 Q , Q , and Q (d) Q is also known as the median. Options:(1) a (2) b and c (3) a, b and c(4) None of these

Answer»

Correct option is (4) None of these

20.

Suggest the economic terms for the given statements:1. The value that divides the data into hundred equal parts.2. Values that divide the data into the required number of equal parts.3. Value of the middlemost observation in the data.4. Extreme value on the lower side and higher side in magnitude.5. Q2 = D5 = P606. Partition value used in the measurement of test scores, health indicators, etc.7. Partition value is used to assess the performance of portfolio investment.

Answer»

1. Percentiles

2. Partition values or Fractiles

3. Median

4. Outliers

5. Median

6. Percentiles

7. Declies