Question

What is a strength of mean?

a)Presents outliers.b) Is a better measure than median. c)Gives an overall picture about the data set.d) Shows concentration in a data set. e)Both b and c are correct.

Answer 1

What is a strength of mean ?

Answer : option c) Gives an overall picture about the data

because , we know mean calculated as

where, Xi 's are population points (random variables ) and N =total number of variable .In mean we consider app data point so it gives good idea of overall picture about the data.

Option a) is not correct with mean because As the mean includes all value in of data so  the mean is influenced by outliers and skewed distributions

Option b) is not correct with mean because if any outlier present in data mean is not good representative of central tendency of data in this case we go median

option d) is not correct with mean because concentration of data more depends on skewness of data.if data not symmetrically distributed then we can not correctly explain by mean in this case we go for median.

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