Ungrouped Data

• It refers to as "the middle" value for a set of data

  Median
• It is a number that appears the most in a set of data

  Mode
• It is the "average" of a set of data

  Mean
• What is the formula to get median?

  n+n/2
• It is the measures of position that divide the contribution into four, ten and hundred equal parts.

  Quantiles
• It is the data collected in original form and has not been subdivided into groups.

  Ungrouped Data
• This is also known as the raw data

  Ungrouped Data
• It is a point that divided the distribution into four equal parts.

  Quartile
• It is a point that divided the distribution into ten equal parts.

  Decile
• It is a point that divided the distribution into hundred equal parts

  Percentile
• Q1 is also known as first quartile
• Q2 is also known as second quartile or the median
• Q3 is also known as the third quartile
• Q1 is less than or equal to 25%
• Q2 is less than or equal to 50%
• Q3 is less than or equal to 75%
• If Q1 falls between two integers, round up to get Q1
• If Q3 falls between two integers, round down to get Q3
• What is quartile formula?

  $Qk =$$k/4 (n+1)$
• It is another method in finding the quantiles value if the position is a decimal number.

  Linear Interpolation Method
• What is Linear Interpolation Method Formula?

  Qk value = LV + DP (HV - LV)
• What is Decile Formula?

  $Dk =$$k/10 (n+1)$
• What is the Percentile Formula?

  $Pk =$$k/100 (n+1)$
• The lower quartile = 25th Percentile
• The 3rd decile is equivalent to 30th percentile
• The median score is also the 2nd quartile, 5th decile and the 50th percentile
• Cfb = cumulative frequency of the class before the Qk class
• LB = lower boundary of the Qk class
• Fqk = frequency of the Qk class
• i = class interval
• Quartile Grouped Data Formula

  $Qk =$$LB +$$(kN/4 - cfb / fqk) i$