The frequency distribution provides the baseline information.
Frequencies for the Data
Freq Perc CumlFreq CumlPerc
0 2.000 0.250 2.000 0.250
3 1.000 0.125 3.000 0.375
4 2.000 0.250 5.000 0.625
5 1.000 0.125 6.000 0.750
7 1.000 0.125 7.000 0.875
9 1.000 0.125 8.000 1.000
The first column lists all the actual scores in the entire data set.
“Freq” indicates the number of times that score exists. For example, the score of 4 was listed 2 times.
The “Perc” column provides the percentage of cases for each possible score. For example, of the 8 scores in the entire data set, the score of 4 was listed 2 times and 2/8 is 25.0%.
“CumlPerc” is the SUM of all percentages up to and including the row in question. For example, 62.5% of scores were 4 or less. Similarly, 37.5% were 3 or less.
The table of percentiles shows the key elements to be interpreted.
Percentiles for the Data
0% 25% 50% 75% 100%
Outcome 0.000 2.250 4.000 5.500 9.000
The score at the 50th percentile is 4. > Similarly, a score of 2.25 is at the 25th percentile and a score of 5.50 is at the 75th percentile.
Though often not reported, simple summary statistics like the median and quartiles provide the reader with basic frequency information about the variable under investigation.
The participants (N = 8) had a low Mdn Outcome score of 4.00 (IQR = 2.25 – 5.50).