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For calculating the mode of the grouped data graphically, the following procedure is adopted.
Draw a histogram of the data; the modal class is the tallest rectangle.
Draw a line from the top right corner of the tallest rectangle to the top right corner of the preceding rectangle.
Draw a line from the top left corner of the tallest rectangle to the top left corner of the succeeding rectangle.
Draw a line perpendicular to the X-axis from the point of intersection of lines drawn in steps 2 and 3. The point of intersection of the perpendicular line with the X-axis represents the mode.
Example
Let us calculate the Mode using the graphical method for the following distributions:
Gross profits as percentage of sales
0-7
7-14
14-21
21-28
28-35
36-42
42-49
Number of companies
19
25
36
72
51
43
28
Using the procedure described above, we draw the histogram and other lines for the calculation of mode. The mode is 25.
Grouped Data In order to find the median, the median class is to be first located and then interpolation is to be used by assuming that items are evenly spaced over the entire
CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES
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MARKS IN LAW :10 11 10 11 11 14 12 12 13 10 MARKS IN STATISTICS :20 21 22 21 23 23 22 21 24 23 MARKS IN LAW:13 12 11 12 10 14 14 12 13 10 MARKS IN STATISTICS:24 23 22 23 22 22 24 2
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construction of control chart,n chart
Cluster Sampling Here the population is divided into clusters or groups and then Random Sampling is done for each cluster. Cluster Sampling differs from Stratified Sampl
Empirical Mode Where mode is ill-defined, its value may be ascertained by the following formula based upon the empirical relationship between Mean, Median and Mode: Mode = 3
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