A group of friends get together every Sunday for a little pick-up hockey. The age of the 20 regulars is shown below. 21 25 26 46 28 22 42 38 22 38 49 44 55 33 45 31 24 43 25 37 Find the mean, median, and mode for the distribution (ungrouped data). Which measure best describes these data? Explain. Group these data into six intervals and produce a frequency table. Determine the mean, and median for a new set of grouped data.

A group of friends get together every Sunday for a little pick-up hockey. The age of the 20 regulars is shown below. 21 25 26 46 28 22 42 38 22 38 49 44 55 33 45 31 24 43 25 37 Find the mean, median, and mode for the distribution (ungrouped data). Which measure best describes these data? Explain. Group these data into six intervals and produce a frequency table. Determine the mean, and median for a new set of grouped data.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 42PFA

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Question

A group of friends get together every Sunday for a little pick-up hockey. The age of the 20 regulars is shown below.

21	25	26	46	28
22	42	38	22	38
49	44	55	33	45
31	24	43	25	37

Find the mean, median, and mode for the distribution (ungrouped data).
Which measure best describes these data? Explain.
Group these data into six intervals and produce a frequency table.
Determine the mean, and median for a new set of grouped data.

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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