# Frequency table calculator

**A frequency**is the number of times a data value occurs. For example, if ten students score 90 in statistics, then score 90 has a frequency of 10. A frequency is a count of the occurrences of values within a data-set.

**Cumulative frequency**is used to determine the number of observations below a particular value in a data set. 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 data.

**A relative frequency**is a frequency divided by a count of all values. Relative frequencies can be written as fractions, percents, or decimals.

**Cumulative relative frequency**is the accumulation of the previous relative frequencies. The last value will always be equal to 1.

### 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 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. - Find mean

Find mean of two numbers: -4 and 5 (first is negative four). - The median 2

Here is a list of numbers: 9.9, 5.9, 3.6, 6.2, 8.9, 0.7, 4.4, 6.7, 9.9, 0.7 State the median. Give your answer as a decimal. - 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? - 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. - 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? - Harmonic HM example

Find the harmonic mean of 4 and 8. - Below 5

Below is a collection of test scores from a class of 20 students. Make 2 histograms of the data. Choose your own horizontal scales as long as you have more than 4 cells in each histogram. 65 70 68 87 98 91 77 85 70 72 86 86 94 95 67 88 77 99 74 71 - 75th percentile (quartille Q3)

Find 75th percentile for 30,42,42,46,46,46,50,50,54 - 45 percentile

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

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