TLDR;
This video explains how to calculate quartiles, deciles, and percentiles for ungrouped data. It covers three methods: the general method, linear interpolation, and the Mendelhold and Synthetic method. The video provides examples and step-by-step explanations for each measure of position.
- Quartiles divide a distribution into four equal parts.
- Deciles divide a distribution into ten equal parts.
- Percentiles divide a distribution into one hundred equal parts.
Quartiles [1:31]
This chapter explains how to calculate quartiles for ungrouped data. Quartiles divide a distribution into four equal parts. The video explains the concept of quartiles and provides an example of how to calculate the lower quartile (Q1) and upper quartile (Q3) for a given set of data. The video also explains how to calculate the interquartile range (IQR), which is the difference between Q3 and Q1.
Deciles [10:54]
This chapter explains how to calculate deciles for ungrouped data. Deciles divide a distribution into ten equal parts. The video explains the concept of deciles and provides an example of how to calculate the third decile (D3) for a given set of data. The video also explains how to interpret the results, for example, D3 represents the value below which 30% of the data falls.
Percentiles [20:14]
This chapter explains how to calculate percentiles for ungrouped data. Percentiles divide a distribution into one hundred equal parts. The video explains the concept of percentiles and provides an example of how to calculate the 43rd, 60th, and 75th percentiles for a given set of data. The video also explains how to interpret the results, for example, the 75th percentile represents the value below which 75% of the data falls.
Percentile Rank [25:34]
This chapter explains how to calculate the percentile rank of a given value in a dataset. The percentile rank represents the percentage of values in the dataset that are below the given value. The video provides an example of how to calculate the percentile rank of a test score of 38 in a given dataset.