Mathematics
Find the mean of the data when it is given that mode = 50.5 and median = 45.5.
43
43.2
43.5
44
Measures of Central Tendency
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Answer
By formula,
Mode = 3 Median - 2 Mean
⇒ 50.5 = 3 × 45.5 - 2 Mean
⇒ 50.5 = 136.5 - 2 Mean
⇒ 2 Mean = 136.5 - 50.5
⇒ 2 Mean = 86
⇒ Mean =
⇒ Mean = 43.
Hence, Option 1 is the correct option.
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