Ratio Statistics

Introduction for ratio statistics:

A relation is getting form the comparison of two quantities like in some wisdom is called a ratio. Ratio will be show by the terms of fraction, that is, a:b is equal to `a/b` For example 25 is `1/4` of the hundred, Therefore, the ratio of 25 to 100 is `1/4` . We can write it in ratio as 1:4.

Example Problems for Ratio Statistics:

Example 1: Find the ratio of 90 centimeters to 7 meters in its simplest form.

Solution:

7 m = 7 `xx` 100 cm

Therefore, 7 m = 700 cm

Therefore, the ratio of 90 cm to 7  m = 90cm: 700 cm

Now we have to cancel out the units. So we get

90: 700

Now we have to divide both terms by 10. So we get

9:70

Example 2: Find the ratio of 700 m to 1.7 km in its simplest form.

Solution:

1 km = 1000 m

1.7 km = 1.7 `xx` 1000

Therefore, 1.4 km = 1700 m

Therefore, the ratio of  700 meter to 1.7 km = 700 m : 1700 m

Now we have to cancel out the units. So we get,

700:1700

Now we have to divide both terms by100. So we get

7:17

Example 3: Find the ratio of 20 minutes to 7 hours in its simplest form.

Solution:

1 hour = 60 minutes

7 hours = 7 `xx` 60 minutes

Therefore, 5 hours = 420 minutes

Therefore, the ratio of 20 minutes to 7 hours = 50 min : 420 min

Now we have to cancel out the units. So we get

20: 420

Now we have to divide both terms by 10. So we get

2:42

Now we have to divide both terms by 10. So we get

1:21

Having problem with how to divide mixed numbers keep reading my upcoming posts, i will try to help you.

Practice Problems for Ratio Statistics:

Problem 1 for ratio statistics:

Find the ratio of 900 milliliters to 1.9 liters in its simplest form.

Solution: 9:19

Problem 2 for ratio statistics::

Find the ratio of 900 milligrams to 9 kilograms in its simplest form.

Solution: 1:10