Measures of Central Tendency Short Answer

University:
University of Southern Mississippi
Course:
PSY 360 | Introduction to Statistics
Academic year:

2022
Views:

285

Pages:

3
Author:

Sasha Murray

Measures of Central Tendency SHORT ANSWER QUESTIONS 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 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. Answer: (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 are 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. 2. The following table gives the daily income of ten workers in a factory. Find the arithmetic mean. Answer: N = 10 X¯¯¯¯=ΣXN=240010=240 Arithmetic Mean = Rs240 3. Following information pertains to the daily income of 150 families. Calculate the arithmetic mean. Answer: 4. What are the purposes of average in the statistical method? Answer: The purposes of average is the statistical method are: Brief description Comparison • • Formulation of policies • Statistical analysis • One value of all 5. What are the different kinds of statistical average? • Answer: The different kinds of statistical average are: • • Mathematical average Positional average