Sunday, March 24

Range Mean in Mathematics

Introduction on what does range mean in mathematics:

The length of the interval which is small by containing all data is defined as the range. In mathematics it is used in the identification for the dispersion in statistics. The measurement of the range is based on the poor as well as weak measure of the data. The range is measured by using the same units. For example, if range is used in measuring population it uses some of the mean distribution. I like to share this Inter Quartile Range with you all through my article.


What does range mean in mathematics:-Range definition


Definition of range which is used in mathematics:

Range is the simplest measure of dispersion.

It is defined as the difference between the biggest and the smallest values in the series. The equation for range defining what it means in mathematics is given as,

Range = Vmax - Vmin

where Vmax is the maximum value,

Vmin is the minimum value.

Coefficient of range:

In mathematics the coefficient of range is calculated by using the formula which means the range is given as,

Coefficient of range = `(Vmax - Vmin)/(Vmax + Vmin)`

Median in mathematics:

The median is used in the mathematics which means what is the middle term from the given data. The middle term in mathematics is found by arranging the data in ascending and descending order.

If the number of data is in odd number then the middle term is considered as the median which means the middle term. If the number of data is in even number then the middle two terms are added and divided by two for getting the median.

Mode in mathematics:

The mode is the term which means identifying the frequently occurred terms.

Understanding What is a Mean is always challenging for me but thanks to all math help websites to help me out.

Example problems to learn what does the range mean in mathematics


1. The datas are 15, 30, 40, 45, 56, 64. What is the range for the given data?

The maximum value = 64

Minimum value = 15

Range = Vmax - Vmin

= 64 - 15

= 49

Coefficient of range = `(Vmax - Vmin)/(Vmax + Vmin)`

= `(64 - 15)/(64 + 15)`

=   `(49)/(79)`

= 0.625

2. The largest value of the data is 72. If the range of data is 25, what is the smallest value of the data?

Maximum value = 72

Range = 25

Minimum value = ?

Range = Vmax - Vmin

25 = 72 - Vmin

Vmin = 72 - 25

= 47

Hence 47 is the minimum value.

3. What is the mode of the following numbers 11, 12, 6, 5, 6, 8, 6?

Here the mode is 6 because it occurs three times in the given numbers.

4. What is the mode of the given data 7, 11, 4, 11, 13, 14, 4, 4, 11?

Here the mode is 11 and 4 since both the numbers occur three times.

5. Find the median for the following numbers 2, 4, 6, 8, 7, 10, 9?

Step 1: Arrange the numbers in ascending order.

2, 4, 6, 7, 8, 9, 10.

Step 2: Since the given numbers are odd then the middle term is 7.

6. What is the median for the following numbers 3, 6, 7, 4, 2, 11.

Step 1: Arrange the numbers in ascending order.

2, 3, 4, 6, 7, 11.

Step 2: Since the given numbers are even then add teh two middle terms.

Median = `(4+6)/(2)`

= `(10)/(2)`

= 5.

Hence the median is 5.

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