Quantitative Management

In: Business and Management

Submitted By Neluvhalani
Words 1687
Pages 7
TABLE OF CONTENTS Question 1: ……………………………………………..…………………..………......1 - 3 1.1 1.2 1.2.1 1.2.2 1.2.3 1.3 Question 2: ……………………………………………………………..…………...….4 - 5 2.1 2.2 2.3 2.4 Question 3: ………………………………………………………………..………………..6 Question 4: …………………………………………………………..................…..…7 - 8 Question 5: ……………………………..……………………………………………..9 - 11

Bibliography: ………………………………………………………...…….……………..12

1

QUESTION 1

1.1 Class Interval 20 up to 50 50 up to 80 80 up to 110 110 up to 140 140 up to 170 Frequency 06 12 14 04 04 40 Less than type Cumulative Frequency 00+06 = 06 06+12 = 18 18+14 = 32 32+04 = 36 36+04 = 40

1.2

Draw to scale 1.2.1 Histogram 1.2.2 Frequency Polygon 1.2.3 “Less-than” Ogive

REFER TO THE GRAPH ON THE NEXT PAGE FOR ANSWERS

2

3

1.3

Use the Ogive to determine 1.3.1. the 65th percentile To determine the 65th percentile we calculate :65% of 40 = 26. The 65% percentile occurs at position 26. From the graph it gives the value of 82 1.3.2 The inter-quartile range is a measure of dispersion and is equal to the difference between the third and first quartiles. Half of the inter-quartile range is called semi inter-quartile range or Quartile deviation. Symbolically it is defined as; Q.D = (Q3 - Q1)/ 2 where Q1 and Q3 are the first and third quartiles of the data.
!""#$%&'(%#)*$ !"#$% ! !""!!"# ! ! !"#$%&'( !!!"#$%&'( ! !

������������������������������������������������ ������������������������������������������������������ = Q1 =
!"!!" !

=

= 61 and Q3 =

= 101.5

������������������������������������������������ ������������������������������������������������������ =

!"!.!!!"

= 81.25

4

QUESTION 2 2.1 Compute the mean and standard deviation for the daily trading volumes to use as estimates of the population mean and standard deviation. Shares in millions ������ 723 766…...

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