Answered: Compute the more-than cumulative…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

Achieng the coach for the national women’s basketball team wishes to establish the age distribution in years of all the players in the national team. She conducted a study which provided the following data:

CLASS	FREQUENCY
15 - 19	11
20 - 24	24
25 - 29	30
30 - 34	18
35 - 39	11
40 - 44	5
45 - 49	1
Total	100

Required:

i. Compute the more-than cumulative frequency distribution based on the information provided above.

ii. Calculate the mean, median and mode and comment on the skewness of the distribution

iii. Calculate the standard deviation and interpret the answer.

iv. Players can be categorized either belonging to the “junior team” or “senior team”. Determine the cut-off age if 50% of the players must belong to either teams

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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