EASE HELP! The following table lists the Democratic vote percentages for House elec-tions in ten state districts before and after the Supreme Court forced states to reapportion districts to guarantee equal populations in each. Compute the mode, median, and mean for each list (all ten districts). Interpret and compare the figures for each list (1964 vs. 1966). Note: this is a list, not a frequency distribution—the unit of analysis is a congressional district, the number of cases = 10. "Democratic Percentage of the Vote, 1964 versus 1966" 1964 1966 D1 56 62 D2 65 62 D3 57 58 D4 72 67 D5 71 64 D6 67 62 D7 35 41 D8 45 48 D9 62 68

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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PLEASE HELP!

The following table lists the Democratic vote percentages for House elec-tions in ten state districts before and after the Supreme Court forced states to reapportion districts to guarantee equal populations in each. Compute the mode, median, and mean for each list (all ten districts). Interpret and compare the figures for each list (1964 vs. 1966). Note: this is a list, not a frequency distribution—the unit of analysis is a congressional district, the number of cases = 10.

"Democratic Percentage of the Vote, 1964 versus 1966"

1964 1966

D1 56 62

D2 65 62

D3 57 58

D4 72 67

D5 71 64

D6 67 62

D7 35 41

D8 45 48

D9 62 68

D10 48 49

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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