If the range of a data set is 56, find the approximate value of the standard deviation, using the rule of thumb

Q: For a list of positive numbers, is it possible for the standard deviation to be greater than the…

A: Mean: The mean defines that the center or average of the data and it is calculated by the sum of the…

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: Find the sample size need to find the Population Mean if the margin of error is $105, the confidence…

A: Solution: From the given information, confidence level is 0.95, σ=315 and E=105.

Q: What is the corresponding Z- score, mean is 110, standard deviation is 8 and x is 90

A: In question, We'll find the Z - score for mean 110, standard deviation 8 and x = 90. The solution is…

Q: If you have 100 people in your sample, what would be the degrees of freedom you use to calculate the…

A: Given, n=100 Degree of freedom(df)=?

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: can you find the mean and standard deviation?

A: Let the male data set is denoted by x, then the mean is given by the formula x¯=∑xxn. Where, the…

Q: If there is a small amount of variation, then the standard deviation is what

A: Standard deviation: It is defined as the positive square root of the variance. It fulfils requisites…

Q: The standard deviation may not be greater than the mean. O True O False

A: False: standard deviations may be greater than mean  example: random variable x follow standard…

Q: If the average number of textbooks in professors' offices is 14, the standard deviation is 5, and…

A: Given that For textbooks, mean = 14, and SD = 5 For age, mean = 42, and SD = 10

Q: Here is a data set. 0,1,1,2,3,5,8,13 Use the table method and find the standard deviation.

A: Given numbers 0,1,1,2,3,5,8,13

Q: On a spelling test, the standard deviation is equal to 0.94. What does this mean

A: We know that the Standard deviation tells us that how much data is scattered around the mean value…

Q: The mean and standard deviation of a population are 200 and 20, respectively. Suppose samples of…

A: Given : μ = 200 , σ= 20 and n= 36

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: the data set has a size 50, how many observations lie within 2 standard deviations of the mean

A: From the provided information, Sample size (n) = 50 The observations lie within 2 standard…

Q: If the mean is seven and the standard deviation is two, what value is three standard deviations to…

A: It is given that the The mean is 7 and the standard deviation is 2 i.e. μ =7 and σ =2. We have to…

Q: give the sample standard deviation of this data set: 20, 25, 35, 40

A: Sample Standard deviation:   If the standard deviation is calculated for sample then it is called as…

Q: Which of the below data sets has the lowest standard deviation? You do not need to calculate the…

A: The standard deviation is used to calculate the variability of the data set. It tells us that how to…

Q: The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152…

A: Here mean = 1152 and SD = 84. z=(x-mean)/SD = (x-1152)/84

Q: The mean and standard deviation of the sampling distribution of the mean is shown as?

A:

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: If a data set has a mean of 80 and a standard deviation of 10, calculate + 1.5 standard deviations

A: Here, the data set has a mean of 80 and a standard deviation of 10.

Q: If the mean is 8, then the mean absolute deviation of the scores 10 9 3 8 10 is?

A: Given mean (μ) = 8 Then Mean Absolute Deviation is given by  1n∑xi-μ

Q: Find the range and standard deviation for the data items in the histogram below. 5 4 Frequency

A: From the histogram, The frequency table is, Data Frequency 10-20 2 20-30 5 30-40 5 40-50…

Q: The mean height of men is 69.0 in., and the standard deviation is 2.5 in. Use the range rule of…

A: Obtain the minimum usual value and the maximum usual value by using the range rule of thumb. The…

Q: for a population with a standard deviation of 10 and mean of 100, draw a bell shaped curve, marking…

A: We have to draw bell shaped curved and marking location of the mean and standard deviation..

Q: If the standard error,  of a sample data set is 5 and the standard deviation,  of the distribution…

A: For a population with mean µ  and standard deviation σ, the standard error is σx̅ = σ/√n, where x̅…

Q: what is the mean and standard deviation?

A:

Q: How is standard deviation a measure of distance?

A: We know that the standard deviation is the measure of the dispersion of data which is based on…

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

A: -2 standard deviation is given by, (Mu-2sigma)= 70  Mu+2sigma= 100 Where mu is mean and sigma is…

Q: The distance traveled by a commuter in the city, has a mean of 28 miles and a standard deviation of…

A: Given,mean(μ)=28standard deviation(σ)=6sample size(n)=500

Q: What is the lowest standard deviation value ?

A: Standard deviation; The standard deviation indicates by how much each observation differs from a…

Q: Given a distribution with a mean of 117 and standard deviation of 42, find a value with a z-score of…

A: Consider that X is a random variable and the given distribution follows normal distribution mean 117…

Q: If the range of a data set is 64, find the approximate value of the standard deviation, using the…

A: Given information- Range = 64 We have to find the approximate value of the standard deviation using…

Q: If the standard deviation of a data set was originally 5, and if each value in the data set was…

A: Given that  The Standard deviation is 5

Q: Can you find the mean and the standard deviation?

A: To find the mean and standard deviation of the given data: Mean is the sum of observations divided…

Q: The advertised weight is 2.13 ounces , the mean is 2.2 ounces and the standard deviation is 0.04…

A: P(X < 2.13) = = P(Z < -1.75)= 0.0401 or 4.01%

Q: What is the best approximation of the standard deviation ofthe measures -4, -3.0, 8, and 9?

A: Solution: Let X be the measure. The given data is –4, –3, 8 and 9.

Q: An agronomist measured the height of 134 canola plants. The mean height was 214 cm and the standard…

A:

Q: In a survey of women in Canada, the mean height was 65 inches with a standard deviation of 3 inches.…

A:

Q: After calculating the mean and standard deviation, how do we interpret the result, and when a…

A: The mean is a measure of central tendency and the standard deviation is a measure of dispersion in…

Q: Find the mean and standard deviation of the original set of data.

A:

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

A:

Q: if you have a population standard deviation of 19 and a sample size of 4, what is your standard…

A: Given,standard deviation (σ)=19sample size(n)=4

Q: A researcher in Des Moines, Iowa sampled 56 households and found the mean number of puppies per…

A: # sample size n=56  population mean mu=3.03  standard deviations=1.5  then to find 62nd percentile…

Q: freedom, the standard devi

A: yes , standard deviation of population is estimated without the degree of freedom . We know that…

Q: The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw…

A: Here given that the mean =59, standard deviation=4, z score=0.04, we need to find the raw score x.

Q: The variance in a data set is 427. Find the standard deviation. Round to two decimals.

A: The random variable is X. It is given that the variance is 427. We have to find the standard…

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.