Mean Mode Medium

Mean Mode Medium

Mean is nothing but average value of set of numbers. Mode is the number which is repeated frequently in the set of numbers. The medium or median of a set of numbers is a Median Value of a set of numbers after the arrangement of ascending or descending order. If the total number of elements in a set is even then find the two middle numbers (n and n+1) after the arrangement of the numbers and find the average of two numbers which is the required medium.

Mean Mode Medium – Example Problems

Example 1: In a class 9 students’ marks as follows 46, 64, 78, 82, 72, 58, 66, 90, and 82. Find mean, mode, and medium.

Solution:

Arrange the set of numbers in ascending order {46, 58, 64, 66, 72, 78, 82, 82, 90}

Mean:

Mean = (Sum of elements in a set)/(Total number of elements in a set)

= `(46 + 58 + 64 + 66 + 72 + 78 + 82 + 82 + 90) / 9`

= `638/9 ` = 70.89

Therefore mean of a given set of students’ mark is 70.89.

Mode:

Mode = The number repeated frequently in the set of numbers.

Here 82 is repeated twice, therefore 82 is the mode of given set of numbers.

Medium:

Medium = The middle value of the set of numbers after the arrangement.

{46, 58, 64, 66, 72, 78, 82, 82, 90}

Here 72 is the middle number, therefore medium is 72.

Example 2: In a class 10 students’ weights as follows 62, 72, 82, 62, 94, 83, 83, 100, 75, and 85.

Solution:

Arrange the set of numbers in ascending order {62, 62, 72, 75, 82, 83, 83, 85, 94, 100}

Mean:

Mean = (Sum of elements in a set)/(Total number of elements in a set)

= `(62 + 62 + 72 + 75 + 82 + 83 + 83 + 85 + 94 + 100) / 10`

= `798/10 ` = 79.8

Therefore mean of a given set of students’ weights is 79.8.

Mode:

Mode = The number repeated frequently in the set of numbers.

Here 62 and 83 are repeated twice; therefore 62 and 83 are the mode.

Medium:

Medium = The middle value of the set of numbers after the arrangement.

{62, 62, 72, 75, 82, 83, 83, 85, 94, 100}

Total number of elements in a set is 10 which is even. So find the average of two middle numbers 82 and 83.

`(82+83)/2` = 82.5

Therefore medium of given set of students weights is 82.5. Please express your views of this topic show me how to multiply fractions by commenting on blog.

Mean Mode Medium – Practice Problems

Problem 1: Eleven students’ marks as follows 85, 65, 66, 55, 65, 57, 52, 68, 48, 49, and 50. Find the mean, mode and medium.

Problem 2: Find the mean, medium and mode for the following set of numbers; 45, 54, 65, 85, 65, 85, 70, and 61.

Answer: 1) Mean: 60, Medium: 57, Mode: 65 2) Mean: 66.25, Medium: 65, Mode: 65, 85