# Median calculator

For median calculation, please enter numerical data separated with comma (or space, tab, semicolon, or newline). For example: 104.5 520.4 393.8 534.2 160.5 512.3 349.3 -990.5 676.1 -749.9 432.0 516.4 385.5### Median

The median separates the higher half of the ordered data sample (or data file) from the lower half.

The median is the 2nd quartile (Q2), 5th decile, and 50th percentile.

### How to calculate the median?

Sort data set with n elements and select n/2-th element. If the index n/2 is not an integer, then use interpolation between the surrounding elements (in this case median does not belong to the input data set).

For example, for n=10 elements, the median is equal to the 5th element. For n=50 elements, the median is equal to the 25th of the ordered data, etc.

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

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

f: 5 10 15

### How to enter grouped data?

Grouped data are 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: write 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 equal the total for all observations since the calculator will have already added all frequencies to the previous total.

## Practice problems from statistics:

- Median and modus

Radka made 50 throws with a dice. The table saw fit individual dice's wall frequency: Wall Number: 1 2 3 4 5 6 frequency: 8 7 5 11 6 13 Calculate the modus and median of the wall numbers that Radka fell. - A Gallup

A Gallup poll investigated whether adults in Mumbai preferred staying at home or going out as their favorite way of spending time in the evening. Out of the 500 adults, the majority of adults (70%) indicated that staying at home was their favorite evening - 75th percentile (quartille Q3)

Find 75th percentile for 30,42,42,46,46,46,50,50,54 - A batsman

A batsman scored the following number of runs in seven innings 35,30,45,65,39,20,40. Find the mean, median, and range.

- Increase the mean

To which number should the number 4 be changed between the numbers 4,5,7, 1,0,9,7,8, -3,5 to increase these numbers' arithmetic mean by 1.25? - Third tests

Third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result. - Harmonic HM example

Find the harmonic mean of 4 and 8. - Find mean

Find the mean of two numbers: -4 and 5 (the first is negative four). - The data

The data set represents the number of cars in a town given a speeding ticket each day for ten days. 2 4 5 5 7 7 8 8 8 12 What is the IQR?

- The size 2

The size of pants sold during one business day in a department store is 32, 38, 34, 42, 36, 34, 40, 44, 32, and 34. Find the average size of the pants sold. - 45 percentile

Given the following data 11 15 24 33 10 35 23 25 40 What is P45?

more math problems »