OP Malhotra Class-11 **Moving Average** S.Chand ISC Maths Solution Chapter-31. Step by step Solutions of OP Malhotra S.Chand ISC Class-11 Mathematics with Exe-31 With Chapter Test. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

## OP Malhotra Class-11** Moving Average** S.Chand ISC Maths Solution

Class: | 11th |

Subject: | Mathematics |

Chapter : | Ch-31 Moving Average of Section -C |

Board | ISC |

Writer | OP Malhotra |

Publications | S.Chand Publications 2020-21 |

–: Select Topics :-

### OP Malhotra Class-11** Moving Average** S.Chand ISC Maths Solution

**Speed:** Speed is a scalar quantity which means it has no direction. It denotes how fast an object is moving. If the speed of the particle is high it means the particle is moving fast and if it is low, it means the particle is moving slow.

**Velocity:** Velocity is a vector quantity which means it has both magnitude and direction. It denotes the rate at which the object is moving or changing position. The direction of the velocity vector is easy to find. Its direction is same as the direction of the moving object. Even if the object is slowing down, and the magnitude of velocity is decreasing, its direction would still be same as the direction in which the object is moving

**Average Speed**

The average speed of a body in a certain time interval is the distance covered by the body in that time interval divided by time. So if a particle covers a certain distance s in a time t1 to t2, then the average speed of the body

Average Speed = Total Distance/Total Time

**Average Velocity**

The average velocity of a body in a certain time interval is given as the displacement of the body in that time interval divided by time. So if a particle covers a certain displacement AB−→ in a time t1 to t2, then the average velocity of the particle

**Measurement of Trend by the Method of Moving Average**

This method uses the concept of ironing out the fluctuations of the data by taking the means. It measures the trend by eliminating the changes or the variations by means of a moving average. The simplest of the mean used for the measurement of a trend is the arithmetic means (averages).

**Moving Average**

The moving average of a period (extent) *m* is a series of successive averages of *m* terms at a time. The data set used for calculating the average starts with first, second, third and etc. at a time and *m* data taken at a time.

In other words, the first average is the mean of the first *m* terms. The second average is the mean of the *m* terms starting from the second data up to (*m* + 1)^{th} term. Similarly, the third average is the mean of the *m* terms from the third to (*m* + 2) ^{th} term and so on.

If the extent or the period, *m* is odd i.e., *m* is of the form (2k + 1), the moving average is placed against the mid-value of the time interval it covers, i.e., t = k + 1. On the other hand, if *m* is even i.e., *m* = 2k, it is placed between the two middle values of the time interval it covers, i.e., t = k and t = k + 1.

When the period of the moving average is even, then we need to synchronize the moving average with the original time period. It is done by centering the moving averages i.e., by taking the average of the two successive moving averages.

Exe-31

### OP Malhotra Class-11 **Moving Average ** S.Chand ISC Maths Solution

Page 31-18 to 31-22

### Chapter Test

OP Malhotra Class-11 **Moving Average ** S.Chand ISC Maths Solution

Page 31-25 to 31-31

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