Consider the following line plot. 2, 3,4, 5, 6, 7 and 8 a) what is the general trend of the graph? b) what is the median of the data? c) what is the mean of the data? round to the nearest hundredth d) would the mean or median be affected more with a data point of 20?

Answer with explanation:

   If we arrange the data in ascending order

    2, 3, 4,4,5,5,5,6,6,6,7,7,7

Total number of variate in the Data set =13

(A)

If you plot the graph of Data points on two dimensional Coordinate Plane, as how many times they occurs on the line plot , it will be as follows: (2,1), (3,1),(4,2), (5,3),(6,3),(7,3)

First constant from (2,1), to (3,1) , then Increasing from (4,2),to (6,3) , then Constant from (6,3) to (7,3).

If you will look at the variate from mean or median , most of the variate are on the left of Mean or median.So, Data Set is Skewed left.

(B)

Median of the data set is middle most variate in data set.

So,Median

                Observation

Seventh Observation = 5(Median)

(C)

 Mean

(D) If in the data set , variate 20 is included

Data Set ={2, 3, 4,4,5,5,5,6,6,6,7,7,7,20}

Total number of Variate in the data set =14, which is even.

Median = Mean of Seventh and Eighth term

Difference between Original Median and Median of new data set

               =5.5 -5

               = 0.5

Mean of new Data set

     Difference between Original Median and Median of new data set

               =6.214 -5.15

              =   1.06      

Difference in Mean is Larger in Comparison with Median.So, Mean is more affected than Median when variate 20 is added in original Data set.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..