The following data values represent the number of homeruns a baseball player hit each year during his 25-year baseball career. Complete parts a through d below. 13 13 15 21 16 21 46 12 21 15 18 49 22 24 16 13 19 14 11 38 15 36 46 14 15 a. Calculate the mean of these data values. ...... x = (Round to two decimal places as needed.) Calculate the standard deviation of these data values. S= (Round to two decimal places as needed.) b. Group this data into four classes with class boundaries of 10-under 20, 20-under 30, 30-under 40, and 40-under 50. Group Frequency 10-under 20 20-under 30 30-under 40 40-under 50 c. Calculate the approximate mean of these grouped data values. XG (Round to one decimal place as needed.) Calculate the approximate standard deviation of these grouped data values. SG (Round to two decimal places as needed.) d. Explain the difference in the results from part a and c. O A. The results from part a are more accurate, since part c assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true. O B. The results from part a and part c are the same since part c uses the midpoints of the groups, and the average of the weighted midpoints is always equal to the mean of the original data. O C. The results from part c are more accurate, since part a assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true. ho means of the grouns and the average of the weighted means is always equal to the mean of the original data
The following data values represent the number of homeruns a baseball player hit each year during his 25-year baseball career. Complete parts a through d below. 13 13 15 21 16 21 46 12 21 15 18 49 22 24 16 13 19 14 11 38 15 36 46 14 15 a. Calculate the mean of these data values. ...... x = (Round to two decimal places as needed.) Calculate the standard deviation of these data values. S= (Round to two decimal places as needed.) b. Group this data into four classes with class boundaries of 10-under 20, 20-under 30, 30-under 40, and 40-under 50. Group Frequency 10-under 20 20-under 30 30-under 40 40-under 50 c. Calculate the approximate mean of these grouped data values. XG (Round to one decimal place as needed.) Calculate the approximate standard deviation of these grouped data values. SG (Round to two decimal places as needed.) d. Explain the difference in the results from part a and c. O A. The results from part a are more accurate, since part c assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true. O B. The results from part a and part c are the same since part c uses the midpoints of the groups, and the average of the weighted midpoints is always equal to the mean of the original data. O C. The results from part c are more accurate, since part a assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true. ho means of the grouns and the average of the weighted means is always equal to the mean of the original data
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The following data values represent the number of homeruns a baseball player hit each year during his 25-year baseball career. Complete parts a through d below.
13
13
15
21
16
21
46
12
21
15
18
49
22
24
16
13
19
14
11
38
15
36
46
14
15
a. Calculate the mean of these data values.
.....
(Round to two decimal places as needed.)
Calculate the standard deviation of these data values.
S=
(Round to two decimal places as needed.)
b. Group this data into four classes with class boundaries of 10-under 20, 20-under 30, 30-under 40, and 40-under 50.
Group
Frequency
10-under 20 20-under 30 30-under 40 40-under 50
c. Calculate the approximate mean of these grouped data values.
XG (Round to one decimal place as needed.)
Calculate the approximate standard deviation of these grouped data values.
SG (Round to two decimal places as needed.)
d. Explain the difference in the results from part a and c.
O A. The results from part a are more accurate, since part c assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true.
O B. The results from part a and part c are the same since part c uses the midpoints of the groups, and the average of the weighted midpoints is always equal to the mean of the original data.
O C. The results from part c are more accurate, since part a assumes that the midpoints of the groups are a good representation of the data in that group, which can be shown to not always be true.
O D. The results from part a and part c are the same since part c uses the means of the groups, and the average of the weighted means is always equal to the mean of the original data.
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