Question

find the mean the median mode range and standard deviation of each data set that is obtained after adding the given constant of each value

Answer 1

ok, I will find the values for the first data set, from there you can do the others, ok?

We are given the following data set:

`98\text{ 95 97 89 88 95 90 81 87 95}`

After we add 2 to each number we get

`100\text{ 97 99 91 90 97 92 83 89 97}`

Now we are asked to find the mean of the data set, to do that we will sum all the numbers and will divide the result by the number terms in the sample, like this:

We get

Now we are asked to find the median, to do that we will first order the values in the sample, like this;

`83\text{ 89 90 91 92 97 99 100 }`

The median is the value in the middle of those numbers, that is 91 and 92, since the sample has two median values, we add them up and divide them by two, like this:

Now we are required to find the mode of the sample, let's remember that the mode is the value that is the most repeated, in this case it's 97 since it occurs 3 times in the sample.

The range of a sample is the difference between the lowest a