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**Range
| What is range?**

**Range**is the measure of dispersion of the data.

**Range**is given by the difference between two extreme observations of the distribution. If L and S are the largest and smallest observations in a distribution, then the

**range**is L – S. It is denoted by R.

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*Range (R) = L – S*

In case of continuous frequency distribution or grouped
data, the

**range**is calculated as the difference between the upper limit of the highest class interval and lower limit of the lowest class interval.###
**Coefficient
of Range**

We know that the unit of range is same as the unit of
the items of the given data. So, two distributions of different units can not
be compared with the range. Hence, such two distributions are compared with the
help of the coefficient of range. Which is given as,

###
*Workout
Examples*

*Workout Examples*

*Example 1: Find the range and coefficient of range from the following data:*

*40, 60, 42, 62, 41, 46, 52, 58, 49, 63, 46, 47*

*Solution:*

*Here,*

*The largest value (L) = 63*

*And, the smallest value (S) = 40*

*∴*

*Range (R) = L – S*

*= 63 – 40*

*= 23*

*And,*

*Example 2: Calculate the range and its coefficient from the following data.*

Size |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |

Frequency |
2 |
4 |
8 |
9 |
12 |
11 |
7 |
3 |

*Solution:*

*Here,*

*The largest value (L) = 11*

*And, the smallest value (S) = 4*

*∴*

*Range (R) = L – S*

*= 11 – 4*

*= 7*

*And,*

*Example 3: Calculate the range and its coefficient from the following data.*

Marks |
10-20 |
20-30 |
30-40 |
40-50 |
50-60 |
60-70 |

No. of students |
2 |
4 |
8 |
9 |
12 |
11 |

*Solution:*

*Here,*

*The largest value (L) = 70*

*And, the smallest value (S) = 10*

*∴*

*Range (R) = L – S*

*= 70 – 10*

*= 60*

*And,*

*You can comment your questions or problems regarding the*

**range**and**coefficient of range**here.

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