# Lower and upper fence calculator

For lower and upper fence calculation, please enter numerical data separated with a comma (or space, tab, semicolon, or newline). For example: 10 20 30 40 50 60 70 80 90 100### What is lower and upper fence?

The Lower fence is the "lower limit" and the Upper fence is the "upper limit" of data, and any data lying outside this defined bounds can be considered an outlier.LF = Q1 - 1.5 * IQR

UF = Q3 + 1.5 * IQR

where Q1 and Q3 are the lower and upper quartile and IQR is the interquartile range.

### How do you 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 the 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:

- 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? - Decile

Find the 5.5th decile of the data: 62, 60, 37, 57, 55, 59, 57, 50, 49, 61 - 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.

- 45 percentile

Given the following data 11 15 24 33 10 35 23 25 40 What is P45? - Employees 70614

The company has 18 employees aged 26-52. The age groups of the employees are: 3 employees aged 52 years, 2 aged 32 years, 1 ... 26 years old, 5 ... 36 years old, 4 ... 45 years old, and 3 ... 50 years old. Determine the median. - 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 - Find mean

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

- 75th percentile (quartille Q3)

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

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