Discussion Question #1 Discuss the three properties of the mean as outlined in C
ID: 3354988 • Letter: D
Question
Discussion Question #1 Discuss the three properties of the mean as outlined in Chapter Four of Social Statistics for a Diverse Society. Explain how each of these properties is unique to the mean and not to the median or the mode. Discussion Question #2 What does it mean to have a skewed distribution? What causes a skew in statistical terms? And how does one deal with skewed data when conducting research? Are there specific types of research questions and types of data where one would expect the data to be skewed?Explanation / Answer
Solution1:
mesn is most widely used emasure of location.it requires the interval scale.
mean=sum of observations/total observations
major charactersitcs are
all values are used.
it is unique
sum of deviatiosn from the mean=0
mean is affected by extremely high or low values and may not be approporiate average to use in these situations..
mean is used to compute other statistics such as variance
SOlution2:
skewed distributions are distributions if mean is not equal to mean not equal to mode
if mean > median
positively skewed(skewed to right)
that is Q2-Q1<Q3-Q2
if mean < median
negatively skewed(skewed to left)
Q2-Q1>Q3-Q2
measure of location : median as it is not affected by outliers.
measure of spread :IQR(Inter quartile range.
Apply transformations such as log transform.multiplicative inverse,square root transform to reduce skewness