The average score on your Math Exams was 75 with a standard deviation of 20. Assuming the scores are normally distributed. If your corresponding z-score was 1.5, and your corresponding raw score is 105, what is the percentile rank?

Q: The mean of a set of data is 108.06 and its standard deviation is 115.45 What is the z score for a…

A: Z-score = 3.3045 answer.

Q: The heights of men, in centimetres, are normally distributed with a mean of 175 and a standard…

A:

Q: If the scores on a test have a mean of 26 and a standard deviation of 4, what is the z score for a…

A: We want to Z-score

Q: Mr. Green examines the Unit 1 Biology test scores in his class. The test scores are normally…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: A teacher wishes to give A’s to the top 8% of the students and F’s to the bottom 8%. The next 10%…

A: Here we need to find the mean, median and mode for the given normal distribution. Also we need to…

Q: Look at your height, either on your Driver's License or ID card or actually measured. Calculate the…

A:

Q: The distribution of scores is approximately normal with a mean of 31 and a standard deviation of 5.…

A:

Q: The earned run average of the two players is 3.7 each but the mean absolute deviation (MAD) for…

A: Mean Absolute Deviation : The MAD is the average of absolute deviations of observations from its…

Q: Professor Ivy’s students have a Mean grade of 69.5 and a Standard Deviation of 6.5.  If Johnny has…

A: From the provided information, Mean (µ) = 69.5 Standard deviation (σ) = 6.5 Let X be a random…

Q: Marian found that the average height of female students in her psychology class was 63 inches with a…

A: According to the provided data,

Q: Jared has a mean of 74 on his quizzes, with a standard deviation of 7. On his most recent quiz, he…

A: If the z-score lies within 2 standard deviation away from the mean, then the score is not unusual…

Q: If the mean score on a math quiz is 12.6 and 38.2​% of the students in your class scored between…

A: Mean = 12.6 area between 11.1 and 14.1 is 38.2%

Q: In a class with 50 students, a 60-item test is conducted. After the test, it is found that the mean…

A: Given: In a class with 50 students, a 60-item test is conducted. After the test, it is found that…

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.