Question

a. Is median a measure of position?

b. Which is True?

i. Median, Percentiles and Quartiles are measures of Position

ii. For the interpretation of standard deviation, Empirical Rule applies to any data set.

Answer 1

a. Yes, median is a measure of position.

( Median is a measure of central tendancy which indicate the middle-most position of any data set after ranking them.)

b.i. Yes,Median, Percentiles and Quartiles are all measures of position.

( Median is a measure of central tendancy which indicate the middle-most position of any data set after ranking them.A percentile is a number where a certain percentage of data fall below that number. For example: kth percentile is the value that is greater than k% of the data values after ranking them. The Quartiles are the 3 values that divide the data into 4 equally sized groups.First quartile is denoted by Q₁ and has 25% of the values less than it. Third quartile is denoted by Q₃ and has 25% of the values greater than it. Second quartile, Q₂= median of the data set. All three are common measures of central tendency)

ii. No, For the interpretation of standard deviation, Epirical rule doesnot apply to any data set.

( Empirical rule can be only applied for a data set which is normally distributed.)

** If you are helpful please give a thumbs up. Thank you in advance.**