Section 12 - Topic 1Statistics and ParametersIn your own words, define and describe how to find each of thefollowing:• Mean• Median• Mode• Standard deviationRangeInterquartile Range-



Answer :

Mean:

Mean is defined as the average value of the data. it is obtained by divide the sum of observation in a data by number of observation in the data.

Median:

Median determine the central value of the data. It is obtained by arranging the data in ascending order then determine the central value of arranged data.

If there are odd number of observation in data then median term is,

[tex](\frac{n+1}{2})^{th}\text{ term}[/tex]

If there area even number of terms in any observation, then median is average of

[tex](\frac{n}{2})^{th\text{ }}\text{ term and (}\frac{n}{2}+1)^{th}\text{ term}[/tex]

Mode:

Mode for any data is equal to obervation which occur most number of time in any data.

Standard deviation.

Standard deviation determines the dispersion of observations in the data with respect to the means of the data. The formula for the statndard deviatrion is,

[tex]\sigma=\sqrt[]{\frac{\sum ^{}_{}(x_i-\mu)^2}{N}}[/tex]

Here, N is number of observation in data,

[tex]\mu[/tex]

is mean of the data.

Range:

It is equal to difference between the maximum and minimum value of the observation in any data. It determine the range in which all the observation lie.

Interquartile range:

Interquartile is obtaned by find the median value, then determine the median value the of upper half caller upper quartile and median of lower half called lower quartile.

After that interquartile range is equal to difference between upper quartile and lower quartile.