# Five number summary calculator

For five number summary calculation, please enter numerical data separated with comma (or space, tab, semicolon, or newline). For example: -367.5 674.7 531.7 713.4 863.4 329.1 731.1 379.6 591.9 205.3 153.1 476.6 418.0

### Five number summary

A five number summary consists of these five statistics:

the minimum,
Q1 (the first quartile, or the 25% mark),
the median,
Q3 (the third quartile, or the 75% mark),
the maximum,

The five-number summary gives you a rough idea about what your data set looks like. For example, you’ll have your lowest value (the minimum) and the highest value (the maximum) or more concentrated data.
The main reason you’ll want to find a five-number summary is to find more useful statistics, like the interquartile range IQR, sometimes called the middle fifty.

### 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 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
This grouped data you can enter:
10-20 20-30 30-40
f: 5 10 15

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

Similar as frequency table, but instead f: type cf: in 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.