Mode, for a given set of observations, is that value of the variable, where the variable occurs with the maximum or the highest frequency.

This blog is in continuation with STATISTICAL APPLICATION IN R & PYTHON: CHAPTER 1 – MEASURE OF CENTRAL TENDENCY. However, here we will elucidate the Mode and its application using Python and R.

Mode is the most typical or prevalent value, and at times, represents the true characteristics of the distribution as a measure of central tendency.

#### Application:

##### The numbers of the telephone calls received in 245 successive one minute intervals at an exchange are shown in the following frequency distribution table:

** **

## No of Calls | ## Frequency |

## 0 | ## 14 |

## 1 | ## 21 |

## 2 | ## 25 |

## 3 | ## 43 |

## 4 | ## 51 |

## 5 | ## 40 |

## 6 | ## 51 |

## 7 | ## 51 |

## 8 | ## 39 |

## 9 | ## 12 |

## Total | ## 245 |

** **

** [Note: **Here we assume total=245 when we calculate Mean from the same data**]**

#### Evaluate the Mode from the data.

** **

#### Calculate Mode in R:

Calculate mode in R from the data, i.e. the most frequent number in the data is 51.

The number 51 repeats itself in 5, 7 and 8 phone calls respectively.

#### Calculate Median in Python:

First, make a data frame for the data.

Now, calculate the mode from the data frame.

Calculate mode in Python from the data, i.e. the most frequent number in the data is 51.

The number 51 repeats itself in 5, 7 and 8 phone calls respectively.

Mode is used in business, because it is most likely to occur. Meteorological forecasts are, in fact, based on mode calculations.

The modal wage of a group of the workers is the wages which the largest numbers of workers receive, and as such, this wage may be considered as the representative wage of the group.

In this particular data set we use the mode function to know the occurrence of the highest number of phone calls.

It will thus, help the Telephone Exchange to analyze their data flawlessly.

**Note** – As you have already gone through this post, now, if you are interested to know about the Harmonic Mean, you can check our post on the APPLICATION OF HARMONIC MEAN USING R AND PYTHON.

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