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
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Chapter1: Starting With Matlab
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### 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.
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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