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Probability-and-statistics Questions Set 16:

Quiz Mode

Find the range of the given data set

{12, 19, 6, 2, 15, 4}

Solution:

If Median - Mean = 4, then Mode - Median is equal to _____

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Solution:

If the mean of 20 samples is 2, what is the value of q?

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Solution:

Find the Median of following data

{ 25, 12, 5, 24, 15, 22, 23, 25 }

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Solution:

The mean of 5 , 4 , 16 , 3 , 62 , k , 5 , 9 , 11, 21, 4 is 13. find the value of 2k + 3.

Solution:

Four data sets are shown below.

Set 1: {10, 19, 38, 50, 51}

Set 2: {5, 21, 26, 39, 51}

Set 3: {9, 38, 50, 50, 51}

Set 4: {5, 28, 28, 28, 51}

Which data set has the largest Median ?

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Solution:

Amit’s family drove through seven states on winter vacation. The prices of oil differ from state to state. Calculate the median oil cost.

{ 1.65 , 1.85 , 1.90 , 1.74 , 2.06 , 2.10 , 2.18 }

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Solution:

Find the median, mode, and range for the given data

{ 190, 153, 168, 179, 194, 153, 165, 187, 190, 170, 165, 189, 185, 153, 147, 161, 127, 180 }

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Solution:

Type II error in hypothesis testing is

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Solution:

A farmer is growing potatoes. He grows some in a greenhouse and some outside and wants to compare which environment produces bigger potatoes. Here are the results of measuring his potatoes, in

cm:

Outside potatoes:

9, 8, 11, 14, 16, 13, 12

Greenhouse potatoes:

5, 6, 17, 16, 14, 4, 8


The farmer looks at the data and says “the greenhouse has the largest potato so this must be the best growing conditions”.


Decide whether you agree with the farmer.


( Hint : Compare Mean, Mode and Median )

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Solution: