Answered: The ages of the signers of the…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 27SGR

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Question

The ages of the signers of the Declaration of Independence are shown below. Note that the ages are approximations since only the birth ear appeared in the source and one has been omitted since his birth year is unknown. There are 55 ages:

41	54	47	40	39
44	52	39	50	40
44	63	60	27	42
35	43	48	46	31
35	46	45	34	53
60	38	39	37	50
32	33	52	69	34
42	70	46	42	50
45	33	42	63	55
62	36	45	49	55
35	30	34	27	50

Complete the following frequency table from the data then construct a frequency histogram for the data (note: round the relative frequency to two decimal places).

Classes (age groups)	Frequency	Relative Frequency
20 - 29
30 - 39
40 - 49
50 - 59
60 - 69
70 - 79

What percentage of signers were under 50 years of age?

Next, sketch a relative frequency histogram of the age of the signers.

Comment on the shape of the histogram (i.e. is it normally distributed, right-skewed, left-skewed)?

Construct a stem-and-leaf plot for the age of the signers, using the first digit as the stem and the second digit as the leaf:

Construct a dot plot of the age of the signers:

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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