Each year about 1,200 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 73 points, a mean of 71 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the nal) but a few students scored below 20 points.(a) Is the distribution of scores on this nal exam symmetric, right skewed, or left skewed?

The distribution of the scores is left or negatively skewed.

Step-by-step explanation:

A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the distribution.

A distribution is said to be skewed to the left, or negatively skewed, if maximum of the data are collected on the right of the distribution.

A distribution is said to be symmetric when the data is distributed at regular frequencies, i.e. there is as many values on the left part of the graph as on the right.

In case of a positively skewed distribution the relationship between mean and median is:

Mean > Median

In case of a negatively skewed distribution the relationship between mean and median is:

Mean < Median

And in case of a symmetrical distribution the relationship between mean and median is:

Mean = Median

It is provided that the mean and median of the scores on the final exam are:

Mean = 71

Median = 73

So, it is obvious that:

Mean < Median

Hence, the distribution of the scores is left or negatively skewed.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question