Hi , I need help with selecting a data set containing between roughly 40 and 60
ID: 3056969 • Letter: H
Question
Hi ,
I need help with selecting a data set containing between roughly 40 and 60 pieces of real quantitative data from a single variable. Discuss which is the best measure of central tendency and why. Describe reasons for any significant difference between these four measures or reasons for any consistency between them Construct the following displays: A. box and whisker histogram (2 points) Discuss the shape of each display and what information they reveal about the variable. Tell which is a better display for your data set and why Write a few sentences describing what you have learned about the variable you choose to study and the population the data came from.
Explanation / Answer
There are three measures of central tendency i.e. Mean , Mode , Median. It is used to describe a set of data by identifying the cenrtral position within that set of data.
The Mean is the best measure of the central tendency because it includes each and every value of the given data set as the part of the calculation and it is used to realize deviation of the each data value from the mean.
Mode is the middle most value of the given data and median is the middle value of the given data therefore mean is the best measure of central tendency.
Box and Whisker disply is the better display of given data because to construct box and whisker plot we need to dtermine five number summary of the given data i.e. minimum , first quantile, second quantile( Median), third quantile, Maximum. From this if Mean = Merdian = Mode then given data is symmetric. If Mean < Median<Mode then data is skewed towards left and if Mode < Median< Mean then given data is skewed towards right.
To select a data set containing between roughly 40 and 60 pieces of real quantitative data from a single variable we first identify distribution of the given data as above then if it is symmetric then use normal distribution other wise use chisquare distribution to select data.