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Step 1. Locate the interval containing the score that separates the distribution into halves. There are 100 scores in the distribution, so the 50 th score divides the distribution in half. This interval contains the 33 rd through the 51 st score. The median, then, falls in this interval.
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Step 2. Identify the exact upper and lower limits of the interval. Lower limit: 67.5 Upper limit: 74.5
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Step 3. Identify the cumulative frequencies (cf) associated with the upper and lower limits. Upper limit cf: 74.5 Lower limit cf: 67.5
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Step 4. Determine the interval width in terms of the exact score limits and score frequencies. Interval width: 7Interval width: 19
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Step 5. Indicate frequency value that you want to change into score. With 100 scores, you will need the 50 th score for the median. This value is referred to as f 50. 197 50 51 32 74.5 67.5 ?
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Step 6. Compute the proportion of distance that the f 50 is into the interval. 197 50 51 32 74.5 67.5 ?
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Step 7. Multiply the proportion computed in Step 6 by the interval width and add that value to the lower lower limit of the interval. The median in this grouped frequency distribution is the score 74.2 197 50 51 32 74.5 67.5 74.2
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