4. Describe what happens to the mean, the standard deviation, and the shape of a distribution when all of the scores are transformed into z-scores

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: compute for the mean, variance and standard deviation.

A: Here given, Three paper bills are drawn in succession without replacement from a piggy bank. Piggy…

Q: Calculate the mean, standard deviation, and variance for the following five scores: 9, 4, 7, 1, 4.

A: Considering the scores as population. The population mean is, μ=∑XN=9+4+7+1+45=255=5 Thus, the…

Q: Calculate the mean, standard deviation, and variance for the following five scores: 9,4,7,1,4.

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Q: The Sum of Squared Errors for a data set of 18 numbers is 36. What is the standard deviation?

A:

Q: 95% of 80 freshman history students scored between 70% and 80% on a take home quiz. If this data is…

A: Given,  n=80 α= (1-0.95) =0.05 Let X denote the score of freshmen. As per t-distribution table, the…

Q: Could the graph represent a variable with normal distribution? If so, what is the mean and what is…

A:

Q: What is the 80th percentile if the mean is 3 and the standard deviation is 0.6

A: It is given that µ= 3, σ= 0.6.

Q: What is the standard deviation for the following sample of scores? Scores: 3,2,4,6,6,3

A: The standard deviation is a measure of dispersion. It tells how much data are deviates from their…

Q: Given that a set of scores have a normal distribution, a mean of 74, and a standard deviation of 5:…

A:

Q: Compute the mean, median, Variance, and the standard deviation for the data below: 3,2 ,3, 4, 3…

A:

Q: The arithmetic mean and the standard deviation of a set of 9 items are 43 and 5

A:

Q: Find the mean and standard deviation of the numbers below.  3 7 5 4 5 6 7 8 6 5

A: First of all, let's arrange the data in a particular order(ascending) for further calculation. i.e…

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: 1. Find the mean, the variance and the standard deviation for the data. {18, 18, 19, 18, 18, 25, 29,…

A: Given data is : 18,18,19,18,18,25,29,30,26,19 To find mean, standard deviation, and variance.

Q: What is the sum of the deviation scores for the data in the frequency distribution table below?

A: Sum of deviation  of scores from mean is always zero.

Q: In Pittsburgh, Pennsylvania, about 56% of the days in a year are cloudy. Find the mean, variance,…

A: Given, In a year 56% of days are cloudy. Now during June month 30 days. Each day is independent of…

Q: The number of hours worked per week for a sample of ten students is shown below. Student Hours 1 2…

A: Note- As per our policy we can answer the first 3 sub-parts of a question.   Given information- The…

Q: Convert score 46 to z-score if the mean is 40 and the standard deviation is 4.

A: The definition of a z-score is:   z = (X - μ) / σ

Q: 3. Given the sample variance of a distribution, explain how to find the standard deviation.

A: Variance is the measure of dispersion that calculates the average of the squared difference from the…

Q: 2. How is the sample size related to the deviation?

A: We have to define how sample size is related standard deviation

Q: (a.) Find the point estimate for the mean and standard deviation of the salaries of all the…

A: NOTE-AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY  Now  Here Given the salary of 12…

Q: Explain the term "deviation scores"?

A:

Q: The number of people standing in the line to vote at the last Presidential Election at 7:00 P.M. was…

A: In statistics, three measures of central tendency are widely used. These three measures are also…

Q: what does the mean and the standard deviation represent in data set? how would i interpret the…

A: Mean and standard deviation in data set:The mean represent the average value in a data set. In other…

Q: What does Chebyshev’s rule say about the percentage of observations in any data set that lie within…

A: a.We have to determine the percentage of observations in any data set that lie within six standard…

Q: In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About…

A: Given: Mean, μ=98 Standard deviation, σ=12 To find: P (74 < x < 122) Therefore, P…

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: Calculate the mean, standard deviation, and z score of the following values: 7, 5, 8, 10, 9, 6, 7…

A: Following are the explanation of the question.

Q: Approximately, what percentage of data lies within two standard deviations from the mean?

A: Empirical rules:1) P(μ-σ<x<μ+σ)=68%2) P(μ-2σ<x<μ+2σ)=95%3) P(μ-3σ<x<μ+2σ)=99.7%

Q: Twenty percent of the students in a class of 100 are planning to go to graduate school. The standard…

A: Given:  Let n represents the number of students in the class (n=100). Let p represents the…

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: 2. Write a paragraph that explains why “the z-score is the number of standard deviations x; is above…

A: To explain:   The z-score associated with the raw score of x is the number of standard…

Q: Explain why the median is often preferred to the mean as a measure of central tendency for a skewed…

A: 22. The value that is used for describing the full data set using the central position within the…

Q: Which average - mean, median, or mode - is associated with the standard deviation?

A:

Q: Suppose that the amount of sleep college students get per night has a symmetric, bell shaped…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: Describe  the scores in a sample  that has a standard  deviation of zero

A: If the standard deviation is zero there will be no dispersion of scores from the Mean. It means that…

Q: In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are…

A: (a) Obtain the percent of score is greater than 48. The percent of score is greater than 48 is…

Q: Explain the standard deviation?

A: Standard deviation: Both the standard deviation and the variance are based on how much each…

Q: Calculate the standard deviation for the data set below 1, 3, 4. 5, 6, 9, 12, 16

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 7. A set of data has a variance of 81. What is the standard deviation?

A:

Q: What is the z score for 120 when mean is 100 and standard deviation is 5.

A: We have to find z score for 120 when mean is 100 and standard deviation is 5.

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

A:

Q: 4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the…

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Q: 4. Find the mean and the standard deviation of the following data set: 12, 15, 12, 19, 21, 11, 13,…

A:

Q: a) Explain why this histogram follows a normal distribution? b) Based on the histogram, how many…

A: a) According to the law of central limit theorem as the number of n increases the data transforms…

Q: About what percent of x values lie between the first and second standard deviations from the mean…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.