Find the mean, median and mode of the following data:
classes: 0-50 50-100 100-150 150-200 200-250 250-300 300-350
Frequency: 2 3 5 6 5 3 1
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done.
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Mean = 169
Median = 175
Mode = 157
Step-by-step explanation:
Let us assume A = 20.
Please refer to the attached picture for the table.
classes: 0-50 50-100 100-150 150-200 200-250 250-300 300-350
midpoint(x) : 25 75 125 175 225 275 325
Frequency: 2 3 5 6 5 3 1
Cumulative f : 2 5 10 16 21 24 25
fx : 50 225 625 1050 1125 825 325
Mean = sum of fx / sum of f = 4225 / 25 = 169
Median = n + 1/2 = 25 + 1/2 = 13th item = 175
Mode = 3 * media - 2* mean
= 3 * 169 - 2 * 175
= 507 -350
= 157
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