bus-stat-book1

# Here l200f1150f091 f287 c50 mode m0 l 200

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Unformatted text preview: he distribution, the modal class is determined by the method of grouping. Steps for Calculation : We prepare a grouping table with 6 columns 1. In column I, we write down the given frequencies. 2. Column II is obtained by combining the frequencies two by two. 3. Leave the 1st frequency and combine the remaining frequencies two by two and write in column III 4. Column IV is obtained by combining the frequencies three by three. 5. Leave the 1st frequency and combine the remaining frequencies three by three and write in column V 6. Leave the 1st and 2nd frequencies and combine the remaining frequencies three by three and write in column VI Mark the highest frequency in each column. Then form an analysis table to find the modal class. After finding the modal class use the formula to calculate the modal value. Example 32: Calculate mode for the following frequency distribution. Class interval Frequency 05 9 Grouping Table CI 0- 5 5-10 10-15 15-20 20-25 25-30 30-35 35-40 510 12 f 9 12 15 16 17 15 10 13 1015 15 1520 16 2 2025 17 3 21 27 2530 15 4 32 25 23 131 5 3540 13 6 36 43 31 33 3035 10 48 48 42 38 Analysis Table Columns 1 2 3 4 5 6 Total 0-5 5-10 10-15 15-20 1 1 2 1 1 1 1 4 1 1 20-25 1 1 1 1 1 5 25-30 30-35 35-40 1 1 2 The maximum occurred corresponding to 20-25, and hence it is the modal class. 1+ Here l = 20; ×C 1 Mode = Mo = l + 1 2 = f1 − f0 = 17 −16 = 1 2= f1−f2 = 17 − 15 = 2 1 ×5 1+ 2 = 20 + 1.67 = 21.67 Graphic Location of mode: Steps: 1. Draw a histogram of the given distribution. 2. Join the rectangle corner of the highest rectangle (modal class rectangle) by a straight line to the top right corner of the preceding rectangle. Similarly the top left corner of the highest rectangle is joined to the top left corner of the rectangle on the right. 3. From the point of intersection of these two diagonal lines, draw a perpendicular to the x -axis. 4. Read the value in x-axis gives the mode. Example 33: Locate the modal value graphically for the following frequency distribution. Class 0-10...
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## This note was uploaded on 01/18/2014 for the course BUS 100 taught by Professor Moshiri during the Winter '08 term at UC Riverside.

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