Descriptive Statistics Flashcards
is one of the ways to numerically describe gathered information. Perhaps we can consider part of the articles below for us to learn more about some of the many uses of MCT. The given examples illustrate how can we apply concepts of measure of central tendency specifically the mean and the mode.
measure of central tendency
The most common average
arithmetic mean
The sum of all the values of the observations divided by the number of observations
arithmetic mean
arithmetic mean is denoted by what greek letter for population
mu (ΞΌ)
the sample mean, used to estimate the population mean ΞΌ, is computed as:
π₯Μ =(β1(π=1)^π π₯π )/π
The positional middle of an array
median
In an array, one-half of the values precede the median and one-half follow it
medianmed
median formula if odd
ππ=π(((π+1))/2
median formula if even
ππ=(ππ/2)+π(π/2+1))/2
It is the observed value that occurs most frequently.
mode
It locates the point where the observation values occur with the greatest density.
mode
It does not always exist, and if it does, it may not be unique
mode
if there is only one mode
unimodal
if there are two modes
bimodal
if there are three mode
trimodal
It is not affected by extreme values.
mode
It can be used for qualitative as well as quantitative data.
mode
are values below which a specified fraction or percentage of the observations in a given set must fall. Some board exam results are based on this, specifically percentile. Letβs say a board passer has a percentile rating of 93%, it doesnβt mean that he was able to get 93% of the correct answer. This just indicate that his score in the board exam is above the score of 93% of all board examinees.
measures of location or fractiles
are values that divide a set of observations in an array into 100 equal parts.
percentiles
percentile formula
ππ=π‘βπ π£πππ’π ππ π‘βπ ((π(π+1))/100)^π‘β πππ πππ£ππ‘πππ ππ π‘βπ πππππ¦
are values that divide the array into 10 equal parts
deciles
are values that divide the array into 4 equal parts.
quartiles