AFTER ENTERING TEST SCORES FROM HER STATISTICS CLASS, THE INSTRUCTOR CALCULATES THE MEAN AND THE MEDIAN AND FINDS THAT THE MEAN IS SIGNIFICANTLY SMALLER THAN THE MEDIAN? WHAT MIGHT THIS IMPLY ABOUT THE SHAPE OF THE DISTRIBUTION OF HER STUDENTS' TEST SCORES?

Q: d. Describe how any outlier affects the mean and the standard deviation

A: If X1, X2, ..., Xn are n observations in an experiment,  Mean=1n∑i=1nxiStandard…

Q: The trimmed mean is

A: From the data, the smallest observed value is 0.77, and largest observed value is 0.97. By removing…

Q: The mean can be thought of as the balancing point of a distribution. According to this description,…

A: Mean          A mean is the simple mathematical average of a set of two or more numbers. The mean…

Q: The graph illustrates the distribution of test scores taken by College Algebra students. The maximum…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Give an example of a situation in statistics that demonstrates the need for sampling.

A: Hi! Thank you for the question as per the honor code, we’ll answer the first question since the…

Q: A population with a mean of µ = 15 has 40 scores. What is X?

A:

Q: When data is normally distributed the mean equals the median True False

A: Normal distribution

Q: What is the range of a distribution?

A: RANGE:The range of a distribution is difference between the lowest and highest values of the…

Q: When data is normally distributed the mean equals the mode. True

A: Normal distribution

Q: Imagine a dataset with a mean of 60 and a median of 40, what does this tell you about skewness?

A: Given : mean = 60  median = 40

Q: In a frequency distribution, the coefficient of skewness based on quartiles is 0.5. If the sum of…

A:

Q: The smaller the spread of scores around the arithmetic mean....?

A: The standard deviation is a measure of dispersion. It measures the variability in the data. If the…

Q: Given the data set, show how the variance and z-score of each grade is found.

A: Variance is the measure of dispersion. It provide the deviation of data set from the mean. It is…

Q: sports psychologist tests a new coaching method and finds that of the 43 novice athletes who were…

A:

Q: Consider the following table. Compare the mean, median, and mode of all of the exam scores with the…

A: Mean is measure of central tendency which depends on all observation whereas median is only depends…

Q: 5) What effect would adding a constant to each data value in a set have on the mean and variance of…

A: What effect adding a constant to each data value in a set have on the mean and variance of the set.

Q: Is the sample mean always equal to one of the values in the sample? If so, explain why. If not, give…

A: FALSE Lets take sample set S={10,15,20,25,30,35} The mean of above sample S is =…

Q: A local real estate magazine used the median instead of the mean when it reported the SAT score of…

A: It is given that the data were strongly skewed to the right.

Q: What information can you get from a histogram that you can't get from just knowing the mean or…

A:

Q: The mean always has a z-score (value) →

A: When the data is converted into z scores, the mean will always end up being zero.

Q: In a moderately skewed distribution, the value of Median is 42 and value of Mode is 40. Find the…

A: Given, x¯ =meanMo =mode=40Me = median =42

Q: The mean of a data set is 12.5 cm, and the variance is 4.0 cm. What is the z-score of 9.5?

A: Mean = 12.5 Variance = 4.0  Raw score = 9.5

Q: A population of scores has a mean of µ = 29, a median of 30, and a mode of 31. What is the most…

A: HERE FROM GIVEN INFORMATION MEAN = 29 MEDIAN = 30 MODE =31

Q: Explain the term "deviation scores"?

A:

Q: The deviation of an entry x in a population data set is the difference between the entry and the…

A: Note: Hi there! Thank you for posting the question. It is considered that the deviation is taken…

Q: The sum of the squared deviation scores, aka the sum of the squares, is SS=60 for a sample of n=5…

A:

Q: What is the shape of the distribution of a sample of scores that has a mean of 12, a median of 14,…

A: First of all, you can see that the for a distribution, mean, median and mode are all different.  It…

Q: A distribution has a mean of 75 and a median of 70. This distribution is probably positively skewed

A:

Q: carl looks at his data and finds that it looks distorted, as though a large number of values are…

A: Given that  Car looks at his data and finds that it is looks distorted , as though a large number of…

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: Under what circumstances is a score that is 15 points above the mean an extreme score relatively far…

A: Introduction: Consider X as a normally distributed random variable, with mean μ and standard…

Q: What is the value of the variance if the mean of a frequency distribution is 100 and the coefficient…

A:

Q: Using the same set of scores (10, 15, 12, 18, 19, 16, and 12), the variance is

A:

Q: In a recent study examining educational attainment in the United States, the mean years of education…

A: When the tail of the distribution is elongated to the right side, the shape of the distribution is…

Q: In a normal distribution, what percentage of scores falls below and score of -2.33

A:

Q: Think of your own example of a data set that would follow a normal distribution and explain why.

A: progress report data of employees follow the normal distribution. let us consider the monthly…

Q: Neither the mean nor the median will change.

A: Outlier: An extreme value in a set of data which is much higher or lower than the other numbers.…

Q: Below is a box plot showing the ages of actors and actresses. Ages of Oscar Winning Actors from 1975…

A:

Q: find an example of when statistics were misused/skewed and state the reason why you think the…

A: when statistics were misused/skewed: Misuse can also result from mistakes of analysis that result in…

Q: The ages for a sample of fans at a concert are listed. Whats the mean, median, mode, range,…

A: The mean of a data set is commonly known as the average. You find the mean by taking the sum of all…

Q: what is the distribution of the coefficient of variation?

A: A coefficient of variance is used to determine the precision of an estimated value. It is primarily…

Q: State the mean and variance of the sampling distribution of the mean?

A:

Q: The ratio of the mode of this distribution to the median is:

A:

Q: Which term best describes the shape of the data distribution pictured?

A: In this case, a picture of a histogram is given. Generally, a histogram is used to find the shape…

Q: Consider a data set of 15 distinct measurements with mean A and median B. (a) If the highest number…

A: The median is essentially the 50th percentile, so we can think mean as a balance point.

Q: The mean of the distribution of sample means would be equal to:

A: The mean of the distribution of sample means would be equal to ?

Q: Given a sample data set with a Variance of 12.25 and Mean of 4.0, what is the Coefficient of…

A: Variance = 12.25 Mean = 4

Q: In a moderately skewed distribution, the arithmetic mean is  10 units and the mode is  7 units, find…

A: Formula for Median If mean and mode are given  Median = ( Mode + 2 * Mean ) / 3

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.