Question

a-) Please defined what are the measures of Central Tendency?

b-)What is the Empirical Rule and when we use it?

c-)Explain what are the differences among Mean, Median and Mode? Use a numerical example to support your answers.

Answer 1

Solution :

a)

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position

within that set of data. As such, measures of central tendency are sometimes called measures of central location.

The mean, median and mode are all valid measures of central tendency

(b)

The empirical rule can be broken down into three parts :

P( - 1< X < + 1) = 68%

P( - 2< X < + 2) = 95%

P( - 3< X < + 3) = 99.7%

(c)

2 , 3 , 4 , 5 , 6

n = 5

Mean is the sum of the observations divide by the number of observations .

mean = 2 + 3 + 4+ 5+ 6 / 5 = 20 / 5 = 4

Median is the middle most observations in the data when observations are arranged in increasing or decreasing order of their values.

Median = 4

Mode is the most repeated observations in the data .

Mode is not exist .