56 59 62 65 68 71 74 Test Scores Use the Empirical Rule to answer the following questions. a. The mean is b. The standard deviation is o of the test sceres are between 6 and 6Q
56 59 62 65 68 71 74 Test Scores Use the Empirical Rule to answer the following questions. a. The mean is b. The standard deviation is o of the test sceres are between 6 and 6Q
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Use the Empirical Rule to Answer Questions 1-4
#### Graph Description:
The graph displays a bell-shaped curve, representing a normal distribution of test scores ranging from 56 to 74. The x-axis marks specific test scores at intervals: 56, 59, 62, 65, 68, 71, and 74. This shape illustrates the distribution of scores in relation to the mean and standard deviation.
#### Instruction:
Use the Empirical Rule to answer the following questions.
#### Questions:
a. The mean is [ ].
b. The standard deviation is [ ].
c. [ ]% of the test scores are between 62 and 68.
d. [ ]% of the test scores are between 59 and 71.
e. [ ]% of the test scores are between 56 and 74.
f. [ ]% of the test scores are between 65 and 68.
g. [ ]% of the test scores are less than 65.
h. [ ]% of the test scores are less than 68.
---
Fill in the blanks using the Empirical Rule, which states that for a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% falls within two standard deviations.
- Approximately 99.7% falls within three standard deviations.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699994d7-16e4-474d-b91b-175e045f5d68%2F2a58fb99-d99e-4137-8043-71fa2205070f%2Fld893dr_processed.png&w=3840&q=75)
Transcribed Image Text:### Use the Empirical Rule to Answer Questions 1-4
#### Graph Description:
The graph displays a bell-shaped curve, representing a normal distribution of test scores ranging from 56 to 74. The x-axis marks specific test scores at intervals: 56, 59, 62, 65, 68, 71, and 74. This shape illustrates the distribution of scores in relation to the mean and standard deviation.
#### Instruction:
Use the Empirical Rule to answer the following questions.
#### Questions:
a. The mean is [ ].
b. The standard deviation is [ ].
c. [ ]% of the test scores are between 62 and 68.
d. [ ]% of the test scores are between 59 and 71.
e. [ ]% of the test scores are between 56 and 74.
f. [ ]% of the test scores are between 65 and 68.
g. [ ]% of the test scores are less than 65.
h. [ ]% of the test scores are less than 68.
---
Fill in the blanks using the Empirical Rule, which states that for a normal distribution:
- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% falls within two standard deviations.
- Approximately 99.7% falls within three standard deviations.
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