Statistics

Question 1

If a set has n terms and n is even, the median is

Answer 1

The average of n/2 and (n+1)/2

Question 2

Range

Answer 2

Highest number in the set - lowest number

Question 3

If we add or subtract the same amount to or from each term in a data set, what happens to the standard deviation?

Answer 3

It does not change but the average does

Question 4

If we multiple or divide the elements in a set by a constant amount, what happens to the SD?

Answer 4

Will also be multiplied by that amount

Question 5

How to lower the SD of a set

Answer 5

Add numbers to the set that are equal to the mean

Question 6

To compare the standard deviation among data sets that have an equal number of data points

Answer 6

1.) determine the mean of each
2.) for each set, determine the absolute difference between the mean of that set and each data point
3.) sum the differences obtained in b

The set with the greater sum has the greater SD

Question 7

If we are given that either the largest or the smallest value in a data set is equal to the mean

Answer 7

All the data points in the set are the same, SD equals 0

Question 8

How to calculate the number of even numbers in a set

Answer 8

(Highest # - lowest #)/2 + 1

Question 9

If measurement m increases by a factor of f then

Answer 9

New measurement is Mf if f>=1
New measurement is M + Mf if f<1

Question 10

If measurement is decreased by a factor of f then

Answer 10

New measurement is M/f if f>=1
New measurement is M-Mf if f<1