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Lesson 829 of 1524

Descriptive Statistics

One simple graph, the stem-and-leaf graph or stemplot , comes from the field of exploratory data analysis.

Practice this chapter

One simple graph, the stem-and-leaf graph or stemplot , comes from the field of exploratory data analysis. It is a good choice when the data sets are small.

To create the plot, divide each observation of data into a stem and a leaf. The leaf consists of a final significant digit .

Mean (arithmetic) — a number that measures the central tendency of the data; a common name for mean is 'average.' The term 'mean' is a shortened form of 'arithmetic mean.' By definition, the mean…. Median — a number that separates ordered data into halves; half the values are the same number or smaller than the median and half the values are the same number or larger than the…. Percentile — a number that divides ordered data into hundredths; percentiles may or may not be part of the data. The median of the data is the second quartile and the 50 th percentile. The…. Quartiles — the numbers that separate the data into quarters; quartiles may or may not be part of the data. The second quartile is the median of the data.

Be able to calculate i = k 100 ( n + 1 ); find the 70 th percentile; find the 83 rd percentile.

Worked example

What does “Mean (arithmetic)” mean in Descriptive Statistics?

  1. 1Use the wording this chapter gives for Mean (arithmetic).
  2. 2The book says: a number that measures the central tendency of the data; a common name for mean is 'average.' The term 'mean' is a shortened form of 'arithmetic mean.' By definition, the mean….
  3. 3Do not use the meaning of Median. That term means a number that separates ordered data into halves; half the values are the same number or smaller than the median and half the values are the same number or larger than the….

Result: a number that measures the central tendency of the data; a common name for mean is 'average.' The term 'mean' is a shortened form of 'arithmetic mean.' By definition, the mean…

Why. That is the meaning this chapter gives for Mean (arithmetic).

Do not swap Mean (arithmetic) and Median. Mean (arithmetic) means a number that measures the central tendency of the data; a common name for mean is 'average.' The term 'mean' is a shortened form of 'arithmetic mean.' By definition, the mean…. Median means a number that separates ordered data into halves; half the values are the same number or smaller than the median and half the values are the same number or larger than the….

Practice margin

This chapter

A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.