# which average will be suitable to find out the average wage in a factory?

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## Which average would be suitable in the following cases?i Average size of readymade garments.ii Average intelligence of students in a class.iii Average production in a factory per shift.iv Average wages in an industrial concern.v When the sum of absolute deviations from average is least.vi When quantities of the variable are in ratios.vii In case of open ended frequency distribution.

Which average would be suitable in the following cases?i Average size of readymade garments.ii Average intelligence of students in a class.iii Average production in a factory per shift.iv Average wages in an industrial concern.v When the sum of absolute deviations from average is least.vi When quantities of the variable are in ratios.vii In case of open ended frequency distribution.

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Which average would be suitable in the following cases?i Average size of readymade garments.ii Average intelligence of students in a class.iii Average production in a factory per shift.iv Average wages in an industrial concern.v When the sum of absolute deviations from average is least.vi When quantities of the variable are in ratios.vii In case of open ended frequency distribution.

Question

Which average would be suitable in the following cases?

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wages in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

(vii) In case of open-ended frequency distribution.

Solution

(i) Mode - Average size of any ready-made garments should be the size for which demand is the maximum. Hence the modal value which represents the value with the highest frequency should be taken as the average size to be produced.

(ii) Median - It is the value that divides the series into two equal parts. Therefore, Median will be the best measure for calculating the average intelligence of students in a class as it will give the average intelligence such that there is an equal number of students above and below this average. It will not be affected by extreme values.

(iii) Arithmetic Mean - The average production in a factory per shift is best calculated by arithmetic mean as it will capture all types of fluctuations in production during the shifts.

(iv) Arithmetic Mean - Arithmetic mean will be the most suitable measure. It is calculated by dividing the sum of wages of all the workers by the total number of workers in the industrial concern. It gives a fair idea of average wage bill taking into account all the workers.

(v) Arithmetic Mean - The algebraic sum of the deviations of values about arithmetic mean is zero. Hence, when the sum of absolute deviations from average is the least, then mean could be used to calculate the average.

(vi) Median - Median will be the most suitable measure in case the variables are in ratios as it is least affected by the extreme values.

(vii) Median - Median is the most suitable measure as it can be easily computed even in case of open-ended frequency distribution and will not get affected by extreme values.

Statistics Suggest Corrections 2

SIMILAR QUESTIONS

**Q.**

In two factories A and B, located in the same industrial area, the average weekly wages in rupees and the Standard Deviation are as follows:

Factory

Average of wages in Rs.

S.D. of wages in Rs.

A B 34.5 28.5 6.21 4.56

Determine which factory has greater variability in individual wages?

MathematicsMathematicsStandard X

**Q.**

An anaoysis of the weekly wages paid to workers in two firms A and B, belonging to the same industry gives the following results:

Firm A Firm B

Average weekly wages

586 648

Average weekly wages

R s . 52.5 R s .47 .5

Variance of the distribution of wages

100 121

(i) Which firm A or B pays out larger amount as weekly wages ?

(ii) Which firm A or B has greater variability in individual wages ?

MathematicsRD SharmaStandard XI

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## Question 1:Which average would be suitable in the following cases?(i) Average size of readymade garments.(ii) Average intelligence of students in a class.(iii) Average production in a factory per shift.(iv) Average wage in an industrial concern.(v) When the sum of absolute deviations from average is...

#### Question 1:

Which average would be suitable in the following cases?

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wage in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

(vii) In case of open-ended frequency distribution.

29 vote

## Question 1:Which average would be suitable in the following cases?(i) Average size of readymade garments.(ii) Average intelligence of students in a class.(iii) Average production in a factory per shift.(iv) Average wage in an industrial concern.(v) When the sum of absolute deviations from average is...

Asked on 2021-01-15 15:25:40 by Guest | Votes 29 | Views: 1119 | Tags: 11th class | economics | chapter 5 measures of central tendency | Add Bounty

### Question 1:

Which average would be suitable in the following cases?

(i) Average size of readymade garments.

(ii) Average intelligence of students in a class.

(iii) Average production in a factory per shift.

(iv) Average wage in an industrial concern.

(v) When the sum of absolute deviations from average is least.

(vi) When quantities of the variable are in ratios.

(vii) In case of open-ended frequency distribution.

### 1 answers

29 vote

Answered by Guest on 2021-01-15 15:33:15 | Votes 29 | #

### Answer:

(i) The demand for the average size of any readymade garment is the maximum. As, the modal value represents the value with the highest frequency, so the number of the average size to be produced is given by the Modal value.

(ii) Median will be the best measure for calculating the average intelligence of students in a class. It is the value that divides the series into two equal parts. So, number of students below and above the average intelligence can easily be estimated by median.

(iii) It is advisable to use mean for calculating the average production in a factory per shift. The average production is best calculated by arithmetic mean.

(iv) Mean will be the most suitable measure. It is calculated by dividing the sum of wages of all the labour by the total number of labours in the industry.

(v) When the sum of absolute deviations from average is the least, then mean could be used to calculate the average. This is an important mathematical property of arithmetic mean. The algebraic sum of the deviations of a set of n values from A.M. is 0.

(vi) Median will be the most suitable measure in case the variables are in ratios. It is least affected by the extreme values.

(vii) In case of open ended frequency distribution, Median is the most suitable measure as it can be easily computed. Moreover, the median value can be estimated even in case of incomplete statistical series.

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## Which average would be suitable in the following case? Average wage in an industrial concern.

Which average would be suitable in the following case? Average wage in an industrial concern.

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Which average would be suitable in the following case?

The average wage in an industrial concern.

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### SOLUTION

Mean will be the most suitable measure. It is calculated by dividing the sum of wages of all the labour by the total number of labours in the industry.

Concept: Measures of Central Tendency - Mean

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Chapter 5: Measures of Central Tendency - Exercise [Page 71]

Q 1. (iv) Q 1. (iii) Q 1. (v)

### APPEARS IN

NCERT Economics - Statistics for Economics Class 11

Chapter 5 Measures of Central Tendency

Exercise | Q 1. (iv) | Page 71

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