Math- statistics - need help with problem 1-35 - please fully explain the answer
ID: 3296805 • Letter: M
Question
Math- statistics
- need help with problem 1-35
- please fully explain the answer to following questions
- information is all there in the picture
- thank you
Explanation / Answer
Part 2)Usually when we have outliers in the data set,the best possible measure of central tendancy is MEDIAN. This is because if we take mean as our measure in this case then the mean will be shifted towards that outlier value,thus resulting in not giving us a clear picture. Hence median being the middle most value will give a better picture of the central tendancy of the data set.
Part 3)If the data set is not symmetric,then MEDIAN as a measure of central tendancy is appropriate. This is because for a strongly skewed distribution, mean will be inappropiate because the mean will be shifted towards the skewed part. So median will be the best in this case.
Part 1) For a given data set how to find mean,median and mode:
i)Mean: Just sum all the observations and divide it by the no. of observations.This will give mean.
ii)Median: Arrange the observations in increasing order of magnitude. If no of observations is odd,then the middlemost observation is the Median. If no of observations is even(say n) then the mean of the (n/2) th and the (n/2)+1 th observation will be the median.
iii) Mode: For mode,corresponding to each observation find the frequency i.e how many times that observation has occured in the whole data set. Then the observation with the highest frequency will be the mode.