# Techniques for Summarizing Quantitative Data

**Topics:**Harshad number, Statistical charts and diagrams, 10

**Pages:**2 (290 words)

**Published:**October 31, 2012

Quantitative Data

frequency histogram

A sample of 40 female statistics students were

asked how many times they cried in the previous

month.Their replies were as follows:

Stem-Leaf Plot

A natural way to organize (group) quantitative data is with the order property of the real numbers, i.e., arrange the data from least to greatest. For example, the 30 weights: 185, 160, 235, 165, 125, 175, 185, 132, 168, 112, 170, 155, 105, 158, 120, 190, 140, 185, 125, 180, 145, 110, 155 135, 170, 113, 155, 175, 145, 130 are more easily comprehended in order: 105, 110, 112, 113, 120, 125, 125, 130, 132, 135, 140, 145, 145, 155, 155, 155, 158, 160, 165, 168, 170, 170, 175, 175, 180, 185, 185, 185, 190, 235. Note that each weight has been listed as many times as it occurs. This information can be visually presented with a stem and leaf plot. A position has been chosen to break the numbers into a stem and a leaf. The leaf will always be one digit. The stems are listed on the left, and the corresponding leaves (if any) on the right. Visually a stem-and leaf plot looks like a bar chart; the categories are defined by the decimal structure of the numbers. A stem-and leaf plot for the above data is presented below:

10 | 5

11 | 023

12 | 055

13 | 025

14 | 055

15 | 5558

16 | 058

17 | 0055

18 | 0555

19 | 0

20 |

21 |

22 |

23 | 5

Techniques for Summarizing

Categorical Data

Frequency Table

A frequency table shows the number of occurrences of each category.

Pareto Chart

A bar chart with categories arranged from

the highest to the lowest is called a Pareto Chart.

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