10. Randomly selected seventh graders in two classes are each asked to measure the entire length of their pointer finger and its length from the tip to the middle joint. The ratio of the lengths is recorded. The data are then organized for each class. Class 1 Length Ratios t 1.5 1.6 1.7 1.8 1.9 2.0 Class 2 Length Ratios + 1.5 1.6 1.7 1.8 1.9 2.0 A. Do the two data sets overlap a lot, a little, or not at all? B. What is the mean of each data set to the nearest hundredth? Class 1: Class 2: C. What is the MAD of each data set to the nearest thousandth? Class 1: Class 2: D. Use the means and MADS above to approximate the ratio of the difference of the means to the MADS for each data set. Round your ratios to the nearest hundredth. Class 1: Class 2: E. Do your answers to Part D support your answer to Part A? Explain. F. Do you think there are meaningful differences in the two data sets? Explain.
10. Randomly selected seventh graders in two classes are each asked to measure the entire length of their pointer finger and its length from the tip to the middle joint. The ratio of the lengths is recorded. The data are then organized for each class. Class 1 Length Ratios t 1.5 1.6 1.7 1.8 1.9 2.0 Class 2 Length Ratios + 1.5 1.6 1.7 1.8 1.9 2.0 A. Do the two data sets overlap a lot, a little, or not at all? B. What is the mean of each data set to the nearest hundredth? Class 1: Class 2: C. What is the MAD of each data set to the nearest thousandth? Class 1: Class 2: D. Use the means and MADS above to approximate the ratio of the difference of the means to the MADS for each data set. Round your ratios to the nearest hundredth. Class 1: Class 2: E. Do your answers to Part D support your answer to Part A? Explain. F. Do you think there are meaningful differences in the two data sets? Explain.
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
Transcribed Image Text:10. Randomly selected seventh graders in two classes are each asked to
measure the entire length of their pointer finger and its length from the
tip to the middle joint. The ratio of the lengths is recorded. The data
are then organized for each class.
Class 1
Length Ratios +
1.5
1.6
1.7
1.8
1.9
2.0
Class 2
Length Ratios t
1.5
1.6
1.7
1.8
1.9
2.0
A. Do the two data sets overlap a lot, a little, or not at all?
B. What is the mean of each data set to the nearest hundredth?
Class 1:
Class 2:
C. What is the MAD of each data set to the nearest thousandth?
Class 1:
Class 2:
D. Use the means and MADS above to approximate the ratio of the
difference of the means to the MADS for each data set. Round your
ratios to the nearest hundredth.
Class 1:
Class 2:
E. Do your answers to Part D support your answer to Part A? Explain.
F. Do you think there are meaningful differences in the two data sets?
Explain.
00.-
Expert Solution
Step 1
Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To get the remaining sub-parts solved, please resubmit the complete question and mention the sub-parts to be solved."
Given: The data of seventh graders in two classes.
A.
In the given scenario, it can be observed that the 3 students with length ratio of 1.6 are present in both the classes. Also, 2 students each with length ratio of 2 and 1.7 are present in both the classes. This implies that the two data sets overlap a little.
B.
The table can be represented as:
| Length ratio (x) | Number of students of class 1 (f1) | Number of students of class 2 (f2) |
| 1.5 | 2 | 1 |
| 1.6 | 3 | 3 |
| 1.7 | 2 | 2 |
| 1.8 | 2 | 4 |
| 1.9 | 1 | 0 |
| 2 | 2 | 2 |
| Total (N) | 12 | 12 |
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