Manuals/calci/QUARTILE

QUARTILE(ar,qu)

• $ar$ is the array of numeric values
• $qu$ indicates the position of the quartile

Description

• This function gives the value of quartile for a given set.
• Quartiles are the values that divide a list of numbers into quarters.
• A quartile is a type of quantile.
• In $QUARTILE(ar,qu)$, $ar$ is the array of numeric values to find the Quartile and $qu$ is the position of the quartile.

qu value   QUARTILE(result)
0   -           Minimum value
1   -           First quartile(25th Percentile)
2    -          Median value(50th Percentile)
3    -          Third quartile(75th Percentile)
4    -          Maximum value  

• The difference between the upper and lower quartiles is called the inter-quartile range.
• When we are giving $qu$ in a decimal value, then it will change in to integer.
• This function will give the result as error when

 1. The array is empty
 2. $qu<0$ or $qu>4$
 3. MIN,MEDIAN and MAX will give the same value as QUARTILE when $qu$ is 0,2,and 4 respectively.

Examples

1. ar={2,3,7,9,15}

• QUARTILE(A1:A5,0)=2
• QUARTILE(A1:A5,1)=3

1. ar={8,12,13,20,25,28,42}

• QUARTILE(B2:B8,3)=26.5
• QUARTILE(B2:B8,4)=42
• QUARTILE(B2:B8,5)=NAN

See Also

• MAX
• MIN
• MEDIAN
• PERCENTILE