Question

The following list contains the average annual total returns (in percentage points) for 23 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list. -9, -3, -2, 1,4,5,6,9, 11, 11, 14, 14, 15, 17, 19, 21, 22, 22, 26, 28, 34, 34, 39 Send data to Excel Frequency 4 40 10 0 10 20 30 Annual total retum (in percent) Mean (a) Which measures of central Median tendency do not exist for this data Mode set? Choose all that apply. None of these measures (b) Suppose that the Mean measurement 39 (the largest measurement in the data set) Median were replaced by 80 Which Mode measures of central tendency would be affected by the change? None of these easures Choose all that apply (c) Suppose that, starting with the Mean original data set, the smallest measurement were removed Median Which measures of central Mode tendency would be changed from None of these those of the original data set? measures Choose all that apply. (d) Which of the following best Negatively skewed describes the distribution of the o Positively skewed original data? Choose only one Roughly symmetrical

Answer 1

Mecen Solution : -> given distribution is Look - like symmetrical distribution mean, mode, , median all three centraal tendency exists 8094 'data @ Answey : -> None of these measwies > It is because all three centreal tendency is measwres o Ef we remove 39 then 39 is biggest outcome . 20 2t we replace 39 by 80 then median and mode does not change but is change. → It is because Median only depends on middle outcome and Mode is depends on multiple time occure outcome. → But Mean depends on every outcomes 8% Answey : Mean © Agais smallest outcome -9 is change then from above discussion median and mode is not Change. is change oo Answer: Mean Symmetricot @given distribution is of the type symmetrical Shape sé eiswer 8 → Roughly symmetrical & But Mean

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