For a perfectly symmetrical distribution with µ= 30, what is the median?

Q: In any symmetrical distribution, what percentile would be associated with the mean value? What…

A: For a symmetric distribution, often the mean, median, and mode all occur at the same point.…

Q: Draw a normal curve with μ=70 and σ=16. Label the mean and the inflection points.

A: Given: random variable x from normal distribution with mean mu=70 and standard deviations=16  To…

Q: Under what conditions can the mean of the sample be treated as a value that is from a population…

A: From the above data  under what conditions can the mean of the sample be treated as a value that is…

Q: What proportion of 10-year old boys is less than 140 cm in height?

A: mean  = 138  standard deviation  = 7  X=  heights of 10-year old boy

Q: or a distribution, the mean is 100 and the standard deviation is 4.  If a data value x has a value…

A: Given data,Mean μ=100sd σ=4If x=90z=?

Q: Write down the important properties of the Normal Curve.

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: Among social work students, the variable "number of textbooks purchased during the academic year"…

A: The Normal distribution is also called as the Gaussian distribution. It is the most common…

Q: The distribution of sample proportions tends to approximate a normal distribution. true or false?

A: The sample proportion is the number of favorable outcomes to the total number of outcomes. It is…

Q: Draw an OGIVE curve corresponding to the data and use it to estimate the median

A: for the observed frequency distribution,  we need to draw an Ogive curve and find the median.…

Q: What are the Properties of the Normal Curve?

A: A normal curve is identified using the values of the mean and standard deviation to show the…

Q: When finding the percentage of data in a given section of the normal curve, you are finding the…

A: here use basic of normal distribution

Q: Can the median split a distribution into a 85% : 15% frequency ratio of the observations?

A: Given: split the distribution into a 85% : 15% frequency ratio of the observations

Q: What is the primary difference between a scatter plot and a "regular plot" (plt.plot)?

A: A scatter plot and a regular plot (plt.plot) are two different ways of visualizing data using the…

Q: What describes measurements that have a normal distribution?

A: The farther away you move from the average, the fewer individuals will have those more extreme…

Q: What proportion of the scores in a normal distribution falls below z= -1.32?

A: Let X ~ N(0,1). Then, P(X<-1.32)=P(X>1.32)  [ As X is symmetric about…

Q: For a standard normal curve, find the z-score that separates the bottom 70% from the top 30%.

A: Answer:- Given, a standard normal curve,               Find the z-score that separates the bottom…

Q: The distribution of sample means tends to be a normal distribution. true or false?

A: This question explores the characteristics of the distribution of sample means. Specifically, it…

Q: In a distribution plot, if the mean is equal to the median, is the possible shape of the…

A: Given that, In a distribution plot, Mean is equal to the Median

Q: For a normal distribution, find the z-score location that divides the distribution that separates…

A: From the given information, It has been given that, P (Z<z) = 0.40 Using the inverse probability…

Q: isn't it should use the normal table to find z value?

A:

Q: Which of the following does NOT reveal the variation (spread) of the data? Check all that apply.

A: Measures of central tendency: The measures of variability measures the centre of the data. Some of…

Q: For a normal distribution, the mean is equal to the median. True False

A: The Normal distribution is Symmetric distribution. So,  Mean = Median = Mode.

Q: What proportion of a normal distribution is located between the mean and z = -0.47?

A:

Q: In a moderately asymmetrical distribution the values of mode and mean are 32.1 and 35.4…

A: Solution:

Q: What proportion of a normal distribution is located between the mean and z = 2.00?

A: proportion of a normal distribution is located between the mean and z = 2.00

Q: For the standard normal curve, identify the z-score that corresponds to the 20thpercentile.

A: The z-value corresponding to 80% or an area of 0.80 is 0.8416 as per z-table.

Q: A box-and-whisker plot does not show the

A: This is a question of theoretical distribution and Box Plot.

Q: Which is correct for a distribution that is skewed to the left?

A:

Q: A vertical line drawn through a normal distribution at z = -1.30 will separate the distribution into…

A:

Q: Two tools commonly used to test how close the dispersion of data matches the distribution shape of a…

A: The normal distribution serves as a fundamental model for the distribution of many natural…

Q: A normal distribution has a mean of 3.7 and a standard deviation of 2.3. What is the median?

A: From the provided information,

Q: Describe the difference in shape between a gamma(shape = 5, rate= 10) distribution and a beta(shape…

A: Given:- γα=5,λ=10    and    βa=10,b=5   we have to find mean,skew and interquartile range

Q: explain normal distribution with examples?

A: The normal distribution is the most important probability distribution in Statistics because it fits…

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults doors, and those…

A: Here we need to find the indicated iq score.

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…