The mean and the mode of a set of data are 44.4 and 49.7, respectively. Find the median of the data, using the empirical formula. (Round off to one decimal place)
46.2
Empirical formula: Mode = 3 × Median − 2 × Mean.
49.7 = 3 × Median − 88.8, so 3 × Median = 138.5.
Median = 46.17, which is 46.2 to one decimal place.
Hence, the answer is 46.2.
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