The mean and standard deviation of normal distribution are 60 and 5 respectively. Find the inter- quartile range and the mean deviation of the distribution:

Q: On a test that has a normal distribution, a score of 66 falls three standard deviations above the…

A: Given 66 falls 3sd above mean and 60 falls 1sd above mean

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

A: Given,

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: Find the​ z-score for the value 87​, when the mean is 82 and the standard deviation is 8. A. z=−0.96…

A: Given,mean(μ)=82standard deviation(σ)=8and the value(x)=87

Q: Mean 255, x is 230 and z score is -2 find standard deviation

A:

Q: In a normal distribution, find the mean if the standard deviation is 100, and 70.19% of the total…

A: Given that the standard deviation is 100 and 70.19% of the total area lies to the right of 500. That…

Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…

A:

Q: Use the normal distribution of IQ​ scores, which has a mean of 105 and a standard deviation of 13​,…

A: GivenMean(μ)=105standard deviation(σ)=13

Q: A. Determine the mean and standard deviation of the total thickness of the two halves. B. What is…

A: plastic casing for a magnetic disk is composed of two halves. The thickness of each half is normally…

Q: A normal distribution has a mean of μ = 70 and a standard deviation of σ = 8. For each of the…

A: Given information Mean μ = 70 Standard deviation σ = 8

Q: Decide if the statement is True or False. A sampling distribution of sample means has a standard…

A: The standard deviation of the sampling distribution of sample means is given by:

Q: Use the normal distribution of IQ​ scores, which has a mean of 100 and a standard deviation of 18​,…

A: Given that, Mean = 100 Standard deviation = 18

Q: For the given values ​​, calculate the standard deviation .

A: Given Data : For calculating the standard deviation, below table will be used    YY Y2Y^2 1 5…

Q: (a) Find the standard deviation of the combined data (b) Which of the two distributions is more…

A:

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: indicate whether the body is to the right or left of the score and find the proportion of the…

A: Given :  A normal distribution has a mean of μ = 30  standard deviation of σ = 12.

Q: A normal distribution has a mean of 82 and a standard deviation of 3. Find the z-score for a data…

A: If x=82 z=?

Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: For a normal distribution with a mean of μ = 70 and a standard deviation of σ = 10, find the…

A: (a) Obtain the proportion of the population scores greater than 80. The proportion of the population…

Q: Q6) From the Uniform Distribution, find the mean and standard deviation from the graph: f (x) 20 20

A: Given : From given graph : Let X be r.v follows uniform dist.  X~U[0,20] a=0 , b=20

Q: the average grade is 84 with a standard deviation of 4. What is each grade for -1 2 0 1.5 -1.25

A: Given Mean μ=84Standard deviation σ=4 The formula for Z score isZ=X-μσX=Z×σ+μ

Q: given a normal distribution with mean of 40 and standard deviation of 6, find

A:

Q: Based on the graph of this normal distribution. a) The mean is _____ .  b) The standard deviation…

A:

Q: Determine the difference X - Y for each matched-pair, then compute the mean and standard deviation…

A: X: 25,26,16,21,15Y: 28,31,30,22,29

Q: The mean height of trees in the virgin forest of Zambales is 42 feet and the standard deviation is 3…

A: The mean height of trees in the virgin forest of Zambales is 42 feet and the standard deviation is 3…

Q: Jay is a photographer who estimates that their time shooting for a cooking magazine is uniformly…

A: From the given information, Jay is a photographer who estimates that their time shooting for a…

Q: In a Normal Distribution with the Mean of 88 and the Standard Deviation of 7, find P (x > 77)

A: The z-score of a random variable x is defined as follows: z = (x – µ)/σ. Here, µ and σ are the mean…

Q: Given a normal distribution with mean 100 and standard deviation 10, find the number of standard…

A: Here, Mean is 100 and standard deviation is 10.

Q: Find and Stondard deviation X. mean of

A: Let , the probability density function of X is given below, = 0 ; otherwise Our aim is to find the…

Q: .Use the data to lation mean and andard deviation

A: x (x-xbar)^2 92 22.09 103 39.69 99 5.29 108 127.69 86 114.49 94 7.29 90 44.89 102…

Q: Assume that the distribution of a college entrance exam is normal with a mean of 500 and a standard…

A: Consider the equation

Q: Find the mean and standard deviation interpretation

A: * SOLUTION : -   * Given that,

Q: The mean in a given set of data is 10.00 and the population standard deviation is 2.50. If the data…

A: The kth percentile implies the value, below which k of the total observations lie.

Q: A normal distribution has a mean of 98 and a standard deviation of 9. Find the z-score for a data…

A: Consider the given:  Formula for z score- z=Value − meanStandard deviationIt is given…

Q: The mean and standard deviation of a normal variate are 70 and 16 respectively. Find P(38 < x < 46).

A: As per our guidelines we are supposed to answer only one question per post so i am solving first…

Q: Find the mean and standard deviation

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

Q: Determine the mean and the standard deviation.

A: We have Given a binomial Distribution that is our random variable X~b(n,p) with parameter n=50,…

Q: Use the normal distribution of IQ​ scores, which has a mean of 130 and a standard deviation of 16​,…

A:

Q: Find the z-score when x is 5, mean equals 7, and standard deviation 3.

A: Solution: Let X be the random variable. Then, the z-score is calculated by using the formula

Q: Assume the birth weights at a local hospital have a normal distribution with a mean of 110 oz and a…

A: Let , random variable x follows normal distribution with mean μ and standard deviation σ 1) The…

Q: If a normal distribution has a mean of 60 and a standard deviation of 5, complete the normal…

A:

Q: In a Normal Distribution with the Mean of 77 and the Standard Deviation of 5 , find P ( x>66)

A: Given,   Mean = 77 Standard deviation = 5   The objective is to find P ( x&gt;66)

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

A:

Q: A farm hatches chicken eggs in batches of 15 and there is a 3% infertile rate. Find the standard…

A: Obtain the standard deviation for the number of infertile eggs per batch.   The standard deviation…

Q: Let the physics exam scores X follow a normal distribution with mean 80 and standard deviation 10.…

A: Given,mean(μ)=80standard deviation(σ)=10

Q: Use the normal distribution of heights of adult​ women, which has a mean of 167 centimeters and a…

A: Note: Hi there! Thank you for posting the question. As the table of standard scores and percentile…

Q: the standard deviation or the interquartile range

A: answer of given question is in step 2

Q: Given that the mean and standard deviation are $24 and $3. Calculate the variance.

A:

Q: the heights of 200 plants in a garden follow a normal distribution with mean of 72.3 cm with a…

A: Formula : Z =(X - μ)/σ

Q: Use the normal distribution of IQ​ scores, which has a mean of 75 and a standard deviation of 11​,…

A: GivenMean(μ)=75standard deviation(σ)=11