Question

If the ratio or mean and median for some observations is found to be 10:13, then for same observations, the ratio of mode and median will be

Answer 1

The ratio for mode and median is 19:13.

• Ratio of mean and median for a given dataset is as 10:13.
• Now we consider the common multiple as x and compute the mode for the data sets.
• Relation between mean , median and mode is

mean- mode = 3(mean-median)

• Now the ratio for mean and median is given as 10:13 then mean = 10x and median=13x.

• Now substituting the in the equation to obtain mode of the dataset.

10x - mode = 3(10x - 13x)

10x - mode = -9x

mode =19x

• Now the ratio of mode and median is 19x/13x = 19:13.

Answer 2

Answer:

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