# Sandeep Garg Solutions Class 11 Economics Chapter 7 - Measures of Dispersion

Sandeep Garg Class 11 Economics Solutions Economics Chapter 7 – Measures of Dispersion are illustrated by the professional economic educator from the contemporary edition of Sandeep Garg Economics Class 11 textbook solutions.

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## Sandeep Garg Solutions Class 11 – Chapter 7

Question 1

Evaluate the range and coefficient of the following series, that shows the monthly expenditure of seven students: 20, 32, 32, 49, 22, 31, 37

Given:

Highest Value (H) =49

Lowest Value (L) =20

Range = Highest Value − Lowest Value

R= 49 − 20 = 29

Coefficient of Range = $\frac{H-L}{H+L}$ = $\frac{49-20}{49+20}$ = $\frac{29}{69}$ = 0.42

Hence, the range is 29 and coefficient of range is 0.42

Question 2

Find range and coefficient of range from the weekly wage From the weekly wages of 8 labours of a workshop: 100, 120, 122, 138, 166, 185, 175, 155.

Given:

Highest Value (H) = 185

Lowest Value (L) = 100

Range = Highest Value − Lowest Value

R= 185 − 100 = 85

Coefficient of Range = $\frac{H-L}{H+L}$ = $\frac{185 − 100}{185 + 100}$ = $\frac{85}{285}$ = 0.29

Thus, range is 85 and coefficient of range is 0.29

Question 3

From the following data calculate range and coefficient of range:

 Marks 15 25 35 45 55 65 75 No. of Studends 9 11 8 35 20 7 4

 Marks No. of Students 15 25 35 45 55 65 75 9 11 8 35 20 7 4

Highest value (H) = 75

Lowest value (L) = 15

Range = Highest value − Lowest value

or, R = 75 − 15= 60 marks

Coefficient of Range = $\frac{H-L}{H+L}$ = $\frac{ 75 − 15}{75 + 15}$ = $\frac{60}{90}$ = 0.66

Hence, range is 60 and coefficient of range is 0.66

Question 4

Find out range and coefficient range.

 Marks 20-30 30-40 40-50 50-60 60-70 70-80 80-90 No. of Students 8 10 9 30 25 6 5

 Marks No. of Students 20-30 30-40 40-50 50-60 60-70 70-80 80-90 8 10 9 30 25 6 5

Range = Upper limit of the highest class interval − Lower limit of the lowest class intervalor, Range = 90 − 20 = 70

Coefficient of Range = $\frac{H-L}{H+L}$ = $\frac{90 − 20}{90 + 20}$ = $\frac{70}{110}$ = 0.63

Hence, the range is 70 marks and coefficient of range is 0.63

Question 5

Evaluate out range and coefficient of range of the marks.

 Marks 5−9 10−14 15−19 20−24 25−29 30−34 No. Students 4 6 3 2 6 4

Coefficient of Range = $\frac{H-L}{H+L}$ = $\frac{34.5 − 4.5}{34.5 + 4.5}$ = $\frac{30}{39}$ = 0.769