Learning Basic Statistics Problems

Introduction to learning basic statistics problems:

Learning 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. I like to share this Calculate Median with you all through my article.

Learning Basic statistics problems-Formula

Learning Basic Statistics Mean

The mean 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

The median 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

Range is 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.

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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

Median problems

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

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

Since there 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 numbers in 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

Solving Basic Statistics Problems

Introduction to solving basic statistics problems:

Everyday we come across a wide variety of information’s in the form of facts, numerical figures, tables, graphs, etc. These figures are the numerical data collected with a definite purpose, are called data. Data is a word in a plural form of the Latin word datum. Every part of our lives utilizes data in one form or the other. This extraction of significant information is studied in a branch of mathematics called Statistics.

Solving Basic Statistics Problems-statistics Definition

Basically the word ‘statistics’ appears to have been taken from the Latin word ‘status’ meaning ‘a state (related to a political)’. In its origin, statistics is simply the collection of data on different aspects of the life of people, useful to the State. Basic Statistics deals with collection, organization, analysis and Interpretation of data. The word ‘statistics’ has held different meanings in different contexts, so that the calculation process is based on the meaning and data’s.Please express your views of this topic Definite Integrals by commenting on blog.

Solving Basic Statistics Problems
Example for basic stastistics problems:

Consider the marks obtained by 10 pupils in a mathematics test as given below:

55 36 95 73 60 42 25 78 75 62

The data in this form is called raw data.

By looking in this way, can you find the highest and the lowest marks?

Did it take you some time to search for the maximum and minimum marks? Wouldn’t it be a lesser amount of time consuming if these scores were arranged in ascending or descending order? So let us arrange the marks in ascending order as

25 36 42 55 60 62 73 75 78 95

Now, we can clearly watch that the lowest marks are 25 and the highest marks are 95.

The difference of the highest and the lowest marks in the basic stastistics data is called the range of the data. So, the range in this case is 95 – 25 = 70.

Arrangement of data in ascending or descending order can be quite time consuming, particularly when the number of observations in an experiment is large.