south al
posted by victor .
For a hypothetical normal distribution of test scores, approximately 95% fall between 38 and 62, 2.5% are below 38, and 2.5% are above 62. Given this information, (a) the mode=_____ and (b) the standard deviation=_____.

There is no information which indicates mode.
The mean is 50. Two standard deviations is 12.
No on mode: in continous distributions, often the mode is defined as the mean. But in test scores, because it is not continous, most scores are not allowed (such as irrational numbers, decimal such as 65.3421 ), and scores are typically integers. I remember I Never gave a 50, it was always 49 or 51. So mode here, is ill defined without more information. I am not certain what a hypothetical normal distribution of test scores is....
Respond to this Question
Similar Questions

math
Students were given an exam with 300 multiplechoice questions. The distribution of the scores was normal and mean was 195 with a standard deviation of 30. You may find it helpful to draw out this distribution before answering the … 
Algebra
On a standardized test, the distribution of scores is normal, the mean of the scores is 75, and the standard deviation is 5.8. If a student scored 83, the student's score ranks 1. below the 75th percentile 2. above the 97th percentile … 
statistics
A scale measuring prejudice has been administered to a large sample of respondents. The distribution of scores is approximately normal with a mean of 31 and a standard deviation of 5. What percentage of sample had scores 1) Below 20 … 
statistics
For a hypothetical normal distribution of test scores, approximately 95% fall between 38 and 62, 2.5% are below 38, and 2.5% are above 62. Given this information, (a) the mode=_____ and (b) the standard deviation=_____. 
Statistics
The distribution of scores on a test is moundshaped and symmetric with a mean score of 78. If 68% of the scores fall between 72 and 84, which of the following is most likely to be the standard deviation of the distribution? 
math
Statistics: Analyze student exam scores Students were given an exam with 300 multiple choice questions. The distribution of the scores were normal and the mean was 195 with a standard deviation of 30. you may find it helpful to draw … 
Statistics
For a hypothetical normal distribution of test scores, approximately 95% fall between 38 and 62, 2.5% are below 38, and 2.5% are above 62. Given this information, (a) the mode=_____ and (b) the standard deviation=_____ Thanks in advance! 
statistics
2. Why is it important to know the mean and standard deviation for a data set when applying the empirical rule? 
Foundations of Measurement
Approximately 400,000 students took the GRE in 2009. Observed mean for the Verbal score was 540 with a standard deviation of 80, and the observed mean quantitative score was 500 with a standard deviation of 100. Assuming distribution … 
psychology
In a normal distribution, what percentage of scores will fall between one standard deviation below the mean and one standard deviation above the mean?