# Statistics calculator

Statistics calculator allows computing many of statistical properties of data. It supports computing mean, median, harmonic mean, geometric mean, minimum, maximum, range, variance, standard deviation. Data input should be a series of numbers separated by spaces or newlines or commas, or semicolons.## Calculation:

Statistical file:{56, 32, 54, 32, 23, 67, 23, 45, 12, 32, 34, 24, 36, 47, 19, 43}

Average (mean): μ=36.1875

Absolute deviation: 189.75

Mean deviation: 11.859375

Minimum: 12

Maximum: 67

Variance: 208.40234375

Standard deviation σ=14.436147122761

Corrected sample standard deviation s=14.909588637294

Coefficient of variation c

_{V}=0.41200935785269

Signal-to-noise ratio SNR=2.4271293380612

Median: 33

Quartile Q1: 23.25

Quartile Q2: 33

Quartile Q3: 46.5

1st decile: 16.9

**(Too few data to calculate deciles)**

2nd decile: 23

3rd decile: 24.8

4th decile: 32

5th decile: 33

6th decile: 37.4

7th decile: 44.8

8th decile: 51.2

9th decile: 59.3

Interquartile range IQR: 23.25

Quartile Deviation QD: 11.625

Coefficient of Quartile Deviation CQD: 0.33333333333333

Lower fence: -11.625

Upper fence: 81.375

Set of outliers: {} - empty set - no outliers found

Interdecile range IDR: 42.4

Mode: 32 - unimodal

Geometric mean: 33.162081564588

Harmonic mean: 29.985945422427

Sum: 579

Sum of squares: 3334.4375

Sum of absolute values: 579

Average absolute deviation: 11.859375

Range: 55

Frequency table :

element | frequency | cumulative frequency | relative frequency | cumulative relative frequency |
---|---|---|---|---|

12 | 1 | 1 | 0.0625 | 0.0625 |

19 | 1 | 2 | 0.0625 | 0.125 |

23 | 2 | 4 | 0.125 | 0.25 |

24 | 1 | 5 | 0.0625 | 0.3125 |

32 | 3 | 8 | 0.1875 | 0.5 |

34 | 1 | 9 | 0.0625 | 0.5625 |

36 | 1 | 10 | 0.0625 | 0.625 |

43 | 1 | 11 | 0.0625 | 0.6875 |

45 | 1 | 12 | 0.0625 | 0.75 |

47 | 1 | 13 | 0.0625 | 0.8125 |

54 | 1 | 14 | 0.0625 | 0.875 |

56 | 1 | 15 | 0.0625 | 0.9375 |

67 | 1 | 16 | 0.0625 | 1 |

Count items: 16

Calculation of normal distribution

Sorted statistic file: {12, 19, 23, 23, 24, 32, 32, 32, 34, 36, 43, 45, 47, 54, 56, 67}

### How to enter data as a frequency table?

Simple. First-type data elements (separated by spaces or commas, etc.), then type f: and further write frequency of each data item. Each element must have a defined frequency that count of numbers before and after symbol f: must be equal. For example:1.1 2.5 3.99

f: 5 10 15

### How to enter a grouped data?

Grouped data are data formed by aggregating individual data into groups so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.group | frequency |

10-20 | 5 |

20-30 | 10 |

30-40 | 15 |

10-20 20-30 30-40

f: 5 10 15

### How to enter data as a cumulative frequency table?

Similar to a frequency table, but instead f: type cf: in the second line. For example:10 20 30 40 50 60 70 80

cf: 5 13 20 32 60 80 90 100

The cumulative frequency is calculated by adding each frequency from a frequency distribution table to the sum of its predecessors. The last value will always be equal to the total for all observations since all frequencies will already have been added to the previous total.