The average cost of a car rental is $0.32 per mile.  The standard deviation is $0.03.  Using Chebyshev's theorem, find the range in which at least 75% of the data value will fall.

Q: The data set has size 60. Approximately how many observations lie within three standard deviations…

A: From the empirical rule

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: The mean is u: = and the standard deviation is o: =

A: Given,

Q: Find the Mean, Variance, and Standard Deviation (round off to two decimal places)

A: Given: No. of students, n=50 Scores of students 78 95 91 78 91 83 80 99 93 91…

Q: Multiplying every score is a sample by a constant value will change the value of the standard…

A: Standard deviation is a measure of the amount of dispersion of a set of values. It is obtained by…

Q: As a mechanical engineer working for an automobile manufacturer, you conduct a survey and collect…

A: The given values are shown Table 1. The formula to find mean for any sample is, x¯=∑(xf)n (1) Here,…

Q: Find the number of boys and the combined standard deviation

A: Given :  Our aim is to find the number of boys and combined standard deviation.

Q: If a set of data has a mean of 12 and a standard deviation of 3, what is the z-score for a value of…

A:

Q: Twenty-nine percent of adult Internet users have purchased products or services online. For a random…

A: It is given that 29% of the users purchase online. Therefore, probability of a randomly selected…

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: Find the mean, mode and standard deviation of the distribution.

A: Given: f(x)=1x2πe-12logx2      for x>0       =0  for  x<0

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: When you use the standard deviation as a measure of variation, what is the reference point?

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

Q: What is another name for the standard deviation of the variable x? What is the reason for that name?

A:

Q: A quantitative data set has size 40. At least how many observations lie within two standard…

A: Introduction: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then,…

Q: If a product has a mean demand of 80 with a standard deviation of 10, if the customer holds 100…

A:

Q: The standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size is…

A:

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 data set has size 50. Approximately how many observations lie within one standard deviation to…

A:

Q: Given the data 18, 23, 26, 29, find the standard deviation to two decimal places answer rounded to…

A:

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: We have, the population mean, μ=100                the standard deviation, σ=15 Let X=IQ score

Q: Write the steps of calculating the population standard deviation.

A: Standard deviation: The standard deviation is based on how much each observation deviates from a…

Q: Given that the variance for a data set 1.20, what is the standard deviation?

A: The standard deviation is calculated by taking the square root of variance. Variance is given as…

Q: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

A: Given IQ scores are approximately normally distributed with a mean of 100 and standard deviation of…

Q: A data set of home sales prices in an area has an average selling price of $350,000 with a standard…

A: The z score for x = 390000 is calculated as:

Q: About 68% of the data lie within. standard deviation of the mean One Two Three Four

A: Let X be a random variable follows normal distribution with mean µ and standard deviation σ. X~N (µ,…

Q: If you score 76 on a commercial pilot exam that has a mean score of 70 and a standard deviation of…

A: We have to find given percentile ....

Q: If the weights of newborn babies are normally distributed with a mean of 2950 grams and a standard…

A: Given, X~Nμ,σ  where μ=2950 grams    and σ=340 gramsfind P(x<2610)=?

Q: A quantitative data set has a size of 50. At least how many observations lie within seven standard…

A: Suppose X is a random variable with expectation, μ and standard deviation, σ. Then, for any positive…

Q: A quantitative data set has mean 19 and standard deviation 2. Approximately what percentage of the…

A: Given that, A quantitative data set with, Mean = 19 Standard deviation = 2

Q: With the extra data value,  the range, standard deviation, and variance is?

A: Given data: 3.31 2.79 2.83 1.97 1.69 2.54 2.46 3.44 3.93 1.59 2.86 1.61 2.57 4.02 2.49 2.42…

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: A normally distributed data set has a mean of 0 and a standard deviation of 2. Which of the…

A: Let X be the random variable from normal distribution with mean (μ) = 0 and standard deviation (σ) =…

Q: The data set has size 40. Approximately how many observations lie within two standard deviations to…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: Given that the mean of a data set is 20, and the standard deviation of this data se is 8, then what…

A: Given data,μ=20σ=8x=40z=?

Q: Find the mean and standard deviation

A: Uniform Distribution :  The uniform distribution is a type of continuous probability distribution…

Q: If data set A has a larger standard deviation than data set B, data set A is more spread out than…

A:

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: Calculate the standard deviation of the data shown, to two decimal places 14 10.2 15.8 20.6 6.9 5.9

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: Which data set would you expect to have the highest standard deviation? Why? Heights (lengths) of…

A: 7. Answer: The b) Heights of all elementary school children have the highest standard deviation.

Q: The mean of a distribution is 50 and the standard deviation is 6. Using the empirical rule, find the…

A:

Q: What does the standard deviation tell you about a set of data?

A: Given To explain the standard deviation tell you about a set of data.

Q: A quantitative data set has size 60. At least how many observations lie within three standard…

A:

Q: Given this data determine a) the mean customer rating and b) the standard deviation for the customer…

A: We have to calculate the mean and SD for the given frequency distribution of customer ratings.

Q: The reading speed of sixth grade students is approximately normal with a mean speed of 115 word per…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: The standard deviation of a variable is 15. If a sample of 100 individuals is selected, what size…

A: The standard error of mean is, SE = σ/√n, where σ is the standard deviation and n is the sample…

Q: the standard deviation or the interquartile range

A: answer of given question is in step 2

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.