Learning Basic statistics problems

Introduction :

  Learn Statistics is making good use of numerical data to groups of individuals or experiments. To obtain more information about the propensity of the data to deviate about a particular value, there are certain procedures which characterize the entire data. These procedures are called the Measures of Central Tendency namely, mean, median, mode and range.


Learning Basic statistics problems-Formula


Learning Basic Statistics Mean

Themean is the average of the set of values. The average is calculated by arrange the values from the set in a particular way ascending or descending order and computing a single number as being the average of the set.


Basic Statistics mean formula

Mean or average="sum" of elements / total number of elements


Learning Basic Statistics Median

Themedian is the number in the middle of the given series. To find the median, to arrange the values in order from ascending order or descending order, and then find the number that is exactly located in the middle


Basic Statistics median formula

When total number of data is odd then median = n/2

When total number of data is even then median = n/2 and n/2+1


Learning Basic Statistics Mode

The mode is the value that occurs most often in the given data.

Basic Statistics Range Formula

Rangeis calculated by subtracting the smallest value (sample lowest) from the highest value (sample highest) in the set of raw data values.

Range = Upper (maximum) value – Lower (minimum) value.


learning basic statistics problems-examples


Mean problems

The scores are: 100, 78, 93, 84, 91, 100, 82, and 79.

The mean of the scores is

Mean = (100+78+93+84+91+100+82+79) / 8

= 88.375

Finding the median

The median of the scores is "the number in the middle"

100, 100, 93, 91, 84, 82, 78, 79

Sincethere is an even number of values, the medians between these two, an even number of score there is no number in the middle so the two numbersin the middle are averaged:

Median = (91 + 84)/2 = 87.5

Mode problems

The mode of a set of numbers is the number that occurs more times.

The scores are: 100, 78, 93, 84, 91, 100, 82, and 79.

In this case, since there are 2 100's, the mode is 100.

Range problems

Data: 2, 3, 4, 5, 6, 6, 6, 7, 7, 8, 9.

Upper value 9

Lower 2

Range= 9 - 2 = 7