ML Aggarwal Statistics ISC Class-11 Understanding Maths Solutions Chapter-14. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe-1, Exe-2, Exe-3 Exe-4, Exe-5, Exe-6, and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

## ML Aggarwal Statistics ISC Class-11 Understanding Maths Solutions Ch-14

Board | ISC |

Class | 11 |

Subject | Mathematics |

Chapter-14 | Statistics |

Session | 2024-25 |

Topics | Solutions of ML Aggarwal |

**Statistics**

Measures of Dispersion : The dispersion or scatter in the data is measured based on the observations and the types of the measure of central tendency. The different types of measures of dispersion are:

- Range
- Quartile deviation
- Mean deviation
- Standard deviation.

**Measures Of Central Tendency:**

The process of describing an entire data set using the central value of that data set is known as the measure of central tendency. The following list includes the five central tendency measures:

#### Range

The range is the difference between the maximum value and the minimum value

**Range = Maximum Value – Minimum Value**

#### Mean Deviation

Mean deviation is the basic measure of deviations from value, and the value is generally a mean value or a median value. In order to find out the mean deviation, first take the mean of deviation for the observations from value is d = x – a Here x is the observation, and a is the fixed value.

#### Mean Deviation for Ungrouped Data

Calculation of mean deviation for ungrouped data involves the following steps :

Let us assume the observations x_{1}, x_{2}, x_{3}, …..x_{n}

**Step 1:** Calculate the central tendency measures to find the mean deviation and let it be ‘a’.

**Step 2**: Find the deviation of x_{i }from a, i.e., x_{1} – a, x_{2}– a, x_{3} – a,. . . , x_{n}– a

**Step 3: **Find the absolute values of the deviations, i.e., | x_{1} – a |, | x_{2}– a |, |x_{3} – a|,. . . ,|x_{n}– a| and drop the minus sign (–), if it is there,

**Step 4:** calculate the mean of the absolute values of the deviations. This mean obtained is the mean deviation about a, i.e.

#### Mean Deviation for Grouped Data

The data can be grouped into two ways namely,

- Discrete frequency distribution
- Continuous frequency distribution

#### Standard Deviation

The positive square root of the variance is called standard deviation (S.D) and it is denoted by the symbol, 𝝈 and the formula to find S.D is given by

**Exe-14.1**

Statistics ISC Class-11 Maths Ch-14

**Exe-14.2**

Statistics ISC Class-11 Maths Understanding Ch-14

**Exe-14.3**

### ML Aggarwal Statistics Class-11 Maths Understanding Ch-14

**Exe-14.4**

ML Aggarwal Statistics ISC Class-11 Maths Understanding Ch-14

**Exe-14.5**

ML Aggarwal ISC Class-11 Maths Understanding Ch-14

**Exe-14.6**

Statistics ISC Class-11 Maths Understanding Ch-14

**Chapter Test**

ML Aggarwal Statistics Class-11 Maths Understanding Ch-14

– :End of ML Aggarwal Statistics ISC Class-11 Maths Understanding Solutions Chapter-14 :–

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