Find the median and the standard deviation of the scaled marks of all the students.

Q: The average exam score of a physics class is 75 points with a standard deviation of 3 points. Peter…

A: Given information Mean µ= 75 Standard deviation σ = 3 Peter’s score x = 72

Q: A brother and sister took two different standardized tests.  He scored 114 on a test that had a mean…

A: Given that, A brother and sister took two different standardized tests.  He scored 114 on a test…

Q: After entering the test scores from her Statistics class of 25 students, the instructor calculated…

A: IQR is obtained as the difference between the third and first quartiles.

Q: A student has taken a 50-point exam and wants to know how his score of 38 compares to the scores of…

A: It is given that Mean = 40 Standard deviation SD = 4 Score X = 38

Q: A group of students wrote an entrance Math exam and the scores were normally distributed. The mean…

A: The scores were normally distributed with mean 750 and standard deviation 95 μ=750σ=95 Z-score is…

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: The z score explains the deviations of the observations from the mean. It is calculated using the…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ)= 79,…

Q: Justin got a score of 85 on an GE MMW examination for which the mean is 75. Justin realized that the…

A: Considering the mean score in the specified examination as μ and variance of scores in the…

Q: Find a sample size for which the median will always equal one of the values in the sample.

A: Median: The median is the middle-most observation in an ordered (in an ascending or descending…

Q: Determine the number of standard deviations from the mean (z-score). In the United States, the…

A: Given mean female height = 64 inches and standard devaiton = 3 inches.The distance of a data point…

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

A: given: mean(μ)=78 sd(σ)=8

Q: Dr. Smith administered a test to her statistic class with 25 questions that were worth one point…

A: If n is multiplied by each observation, the new value for mean is, E(n×X) = nE(X) If n is multiplied…

Q: The mean of a test score was 21.2 and the standard deviation was 5.1 . Identify the rest scores that…

A: Given Data Mean µ= 21.2. Standard Deviation σ= 5.1. Assuming that the given data is obtained from a…

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: Find the number of pieces of data in your set (this is n), the mean, median, mode, range, and…

A: The data is given as, 32, 36, 29, 34, 31, 33, 27, 34

Q: The mean grade for chemistry exam was 76% with a standard deviation of 6%.the mean grade for…

A:

Q: My cousin has 3 children, ages 2, 5, & 8. Compute the mean, range, and standard deviation for the…

A: From the provided information, Number of children = 3 The ages are as follow: 2, 5 and 8

Q: A sample of 30 distance scores measured in yards has a mean of 7, a variance of 16, and a standard…

A: Given statistics:Consider the variable x represents the distance scores in yards.The given…

Q: standard deviation

A: If the random variable X follows a distribution with mean = μ and standard deviation = σ Then the Z…

Q: ind standard deviatio

A: Provided data is, High school students across the nation compete in a financial capability challenge…

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

A: From the provided information, Boys got 78% on a test and girls got 84%. Let n = number of girls =…

Q: Which student received the highest grades from the quizzes?

A: here given , Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last…

Q: The average on the Math section of the SAT was 500 with a standard deviation of 100. What score must…

A:

Q: Calculate the mean if -2 standard deviation = 70 and +2 standard deviation = 100. The mean of the…

A:

Q: A doctor in the oncology department of a hospital surveyed the breathing rate of cancer patients.…

A:

Q: Passenger Vehicle Deaths The number of people killed in each state from passenger vehicle crashes…

A:

Q: Find the mean, standard deviation, and relative standard deviation for the set of measurements (7,…

A: Mean: The mean value is calculated as follows: The sum of the observations is divided by the number…

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: there are 75 students in the class and 20 students are getting a+ grade in the class find the mean…

A:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.