FREQUENCY DISTRIBUTION & GRAPHIC PRESENTATION ( EX. # 32 & 30 )

SUBMITTED TO:

FARZANA LALARUKH DEPT. OF FINANCE UNIVERSITY OF DHAKA

SUBMITTED BY:

SHEAKH MOHAMMAD KHALED MAHTAB ID# 11046 DEPT. OF FINANCE EMBA UNIVERSITY OF DHAKA

Date of submission: February 27, 2007

Exercise # 32 The Midland National Bank selected a sample of 40 student checking accounts. Below are their end-of-the-month balances:

404 87 703 968

74 234 125 712

234 68 350 503

149 489 440 489

279 57 37 327

215 185 252 608

123 141 27 358

55 758 521 425

43 72 302 303

321 863 127 203

a) Tally the data into a frequency distribution using $100 as a class interval and $0 as the starting point. b) Draw a cumulative

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To begin the plotting, 4 companies has shareholders between 130 to 150, so the first plot is at X=140 [Mid Point of 130 and 150] and Y=4, the coordinate of the next plot are X=150 and Y=9. The rest of the points are plotted and then the dots connected to form the chart.

Frequency Polygon

9 8 7 6 Frequences 5 4 3 2 1 0 120, 0 120 140 280, 0 280 140, 4 180, 4 220, 3 240, 2 260, 4 200, 6 160, 9

160

180

200

220

240

260

Class Mid Point

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c) To draw cumulative frequency distribution, we scale the upper limit of each class along the X-axis and the corresponding cumulative frequency along the Y-axis. To provide additional information, we label the vertical axis on the left from 0 to 32 units and the vertical axis on the right from 0 to 100 percent. To begin the plotting, 4 companies has shareholders between 130 to 150, so the first plot is at X=140 [Mid Point of 130 and 150] and Y=4, the coordinate of the next plot are X=150 and Y=9. The rest of the points are plotted and then the dots connected to form the chart.

Cumulative frequency polygon

Y

270, 32 100

30 25

210, 23 230, 26

75

0 90

Frequency

20

190, 17

15

170, 13

50

10

25

5 0

130, 0

150, 4

130

150

170

190