Mean Deviation and Co- efficient

1. PROGRAMME B.COM
SUBJECT
QUANTITATIVE TECHNIQUE – I
SEMESTER III
UNIVERSITY VIJAYANAGAR SRI
KRISHNADEVARAYA UNIVERSITY,
BALLARI
SESSION 44

2. RECAP
• Range, Quartile Deviation and Co efficient Under
Continuous Series Problems – 02

3. LEARNING OBJECTIVES
• After reading this chapter, a student will be
understand different measures of central tendency
and Dispersion, i.e., Arithmetic Mean,Mean,Mode,
Geometric and Harmonic mean & Range, Mean
Deviation, Standard Deviation, Quartile Deviation,
Co efficient of variation

4. LEARNING OUTCOMES
• After the Chapter, The Students Shall be able to
Differentiate, Determine, and Identify the
relationships among Averages under Different
Series of Data and too State the Merits and
Demerits of Three Measures. The Students will
apply Measures of Dispersion to Sample Population
Data by Contrasting the Values of Standard
Deviation & The Mean Deviation, Synthesizing the
Mean,Standard,and Quartile Deviations into a
Useful Description of a Set of Data

5. SESSION - 44
• Mean Deviation From Mean, Median,& Mode and
Coefficients Under Individual Series Problems- 01

6. Mean Deviation From Mean, Median,& Mode
and Coefficient Under Individual Series
Example; 1
Calculate mean deviation and coefficient of mean
deviation from both mean and median for the following
data on the monthly income of households
Income (Rs) 8520, 6350, 7920, 8360, 7500

7. CONTD
Calculation of M.D from mean, median and Mode
Income IDI(mean)
Rs.7730
IDI(Me)
Rs.7920
IDI (Mode)
Rs. 8520
8520 1380 1750 0000
6350 230 420 2170
7920 190 000 600
8360 630 440 160
7500 790 600 1020
ΣX = 38650 ΣIDI = 3220 ΣIDI = 3030 ΣIDI = 3950
Mean = ΣX/N
=38650/5
= 7730
Me=N+1/2
Me= 5+1/2
Me=3rd item
Me = 7920
Highest value
in the series is
Rs 8520

8. Contd
Mean =7730, M.D = ΣIDI/N
M.D. = 3220/5 = Rs 644
Coefficient of M.D. from Mean = M.D/mean
644/ 7730= 0.083
Median = 7920, M.D = ΣIDI/N
M.D. = 3030/5 = Rs 606
Coefficient of M.D. from Median = M.D/median
606/7920 = 0.076

9. CONTD
Mode = Rs 8520, M.D = ΣIDI/N
ΣIDI = 3950, N = 5, M.D = 3950/5 = Rs.790
Coefficient of M.D. from Mode = M.D/mode
= 790/8520 = 0.092

10. MCQs
I. The mean deviation of the scores 12, 15, 18 is:
(a) 6 (b) 0 (c) 3 (d) 2
II. Mean deviation computed from a set of data is always:
(a) Negative (b) Equal to standard deviation
(c) More than standard deviation (d) Less than standard
deviation
III. The average of squared deviations from mean is
called:
(a) Mean deviation (b) Variance (c) Standard deviation
(d) Coefficient of variation

11. MCQs
IV. The sum of squares of the deviations is minimum,
when deviations are taken from:
(a) Mean (b) Mode (c) Median (d) Zero
V. The mean deviation is minimum when deviations are
taken from:
(a) Mean (b) Mode (c) Median (d) Zero

12. REFERENCES
• S.P. Gupta, Sultan Chand and Sons Publications, 2017
• S. C. Gupta, Himalaya Publishing House,
Fundamentals of Statistics, 2018
• R.S.N Pillai and Bagavathi, S.Chand publications, 2010

13. THANK YOU