James needs to clock in a minimum of 9 hours per day at work. However, the working hours that he records varies between 9 to 12 from day to day. His recorded working hours for a certain number of days are as follows: {9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12} What is the median of his working hours and the skew of the distribution?

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shadowrichmond shadowrichmond · Answer 1 · 2018-11-05T00:15:59+01:00

Answer:

and it will be a negative skew

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eudora eudora · Answer 2 · 2019-04-07T17:47:25+02:00

Answer:

Median = 11 and negative skew of the distribution.

Step-by-step explanation:

James recorded working hours for a certain number of days are a set of

{9, 9.5, 10, 10.5, 11, 11, 11.5, 11.5, 12, 12}

Now we have to find the median and skew of distribution.

We know that median of a set of data is defined by the middle term.

In the set written above there are two middle terms (11, 11) about which four term are in the left and four terms in the right.

Now to calculate the median we will take the mean of these two numbers

median = (11 + 11)/2 = 11

Now if we draw the working hours on a graph then we will have a long tail in the left of the maximum number of hours worked as figure attached.

This long tale in the left shows negative skew of the distribution and tale in the right shows the positive skew of the distribution.

Therefore answer is median = 11 and negative skew of the distribution.