Question

True or False. Justify for full credit. (a) If the variance from a data set is...

True or False. Justify for full credit. (a) If the variance from a data set is zero, then all the observations in this data set must be identical. (b) The median of a normal distribution curve is always zero.

Homework Answers

Answer #1

(a) If the variance from a data set is zero, then all the observations in this data set must be identical.

Ans : TRUE (by definition of variance)

b) The median of a normal distribution curve is always zero.

Ans : False (The median of a standard normal distribution is zero)                                                              

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
True or false a. The standard deviation is negative for a data set where all values...
True or false a. The standard deviation is negative for a data set where all values are negative. b. A population with an average of 20 and variance of 16, has a coefficient of variation equal to the mean. c.The standard deviation is a measure of dispersion that does not take into account all the observations of a data set. d.The route of a data set is affected by the existence of extreme values.
Select True or False from each pull-down menu, depending on whether the corresponding statement is true...
Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.    True    False      1. In the normal distribution, the total area beneath the curve represents the probability for all possible outcomes for a given event. True    False      2. In the normal distribution, the mean, median, mode, and variance are all at the same position on the horizontal axis since the distribution is symmetric.     True    False      3. In the exponential distribution, the value of ?x...
Answer True or False for each of the following. If your answer is FALSE, provide an...
Answer True or False for each of the following. If your answer is FALSE, provide an example that proves your point. If your answer is true, explain. Given a typical set of numerical data with an ODD number of values. 1. The mean is always one of the data values. 2. The median is always one of the data values 3. The mode is always one of the data values. 4. The range measures the variability of the given data...
1. True or False: If our data do not achieve the level of statistical significance that...
1. True or False: If our data do not achieve the level of statistical significance that we had established, then the null hypothesis must be accepted as true. 2. True or false: In a normal distribution curve, the tails of the curve are asymptotic to the y-axis. Please answer both 1 & 2. Thank you in advance.
True or False: a.) Variance is the mean of the squared deviation score. b.) For any...
True or False: a.) Variance is the mean of the squared deviation score. b.) For any population, a z-score of +1.00 corresponds to a location above the mean by one standard deviation. c.) In a distribution with s=8, a score of X=64 corresponds to z=-.50. The mean for this sample will be M=60. d.) Transforming X values into z-scores will not change the shape of the distribution. e.) One advantage of transforming X values into z-scores is that the transformation...
1.The median is a measure of central tendency (or location)? True False 2,The mean computed from...
1.The median is a measure of central tendency (or location)? True False 2,The mean computed from ungrouped data is a more accurate measure than the mean computed from grouped data? True False 3.The mode for the following values is "0"?...3.4, 4.7, 1.9, 7.6, 6.5. True False 4.A distribution of data that is positively skewed is left skewed? True False 5.In a numerical batch of data the value of "Q3" can never be smaller than the value of "Q1"? True False  ...
Suppose you have access to data from a skewed distribution. Answer the following true/false questions. A.)...
Suppose you have access to data from a skewed distribution. Answer the following true/false questions. A.) A five-number summary is typically better at representing the center and spread of the distribution than the mean and standard deviation. B.) It is not possible for the standard deviation to be larger than the median C.) If we add 100 to every point in our data set the IQR will change, but the standard deviation will remain the same.    D.) If we...
For the following problems indicate true or false. Please justify your answer. You may use examples...
For the following problems indicate true or false. Please justify your answer. You may use examples to illustrate your answers. a. (2 points) For events A and B for which P(A)>0 and P(B)>0, P(A|B) is always larger than P(A and B). b. (2 points) If two random variables X and Y are independent, then the coefficient of correlation between them is 0. c. (2 points) P(A or B) > P(A) + P(B). d. (2 points) Mean and median of a...
Indicate whether each statement is True or False. Briefly justify your answers. Please answer all of...
Indicate whether each statement is True or False. Briefly justify your answers. Please answer all of questions briefly (a) In a vector space, if c⊙⃗u =⃗0, then c= 0. (b) Suppose that A and B are square matrices and that AB is a non-zero diagonal matrix. Then A is non-singular. (c) The set of all 3 × 3 matrices A with zero trace (T r(A) = 0) is a vector space under the usual matrix operations of addition and scalar...
True or False? All of the questions are true or false. 1. if Z is a...
True or False? All of the questions are true or false. 1. if Z is a random variable from a standard normal distribution and if P(Z > c) = 0.25, then P(Z < -c) = 0.25 2. Assume Z is a random variable with a standard normal distribution and b is a positive number. If P ( Z > b )=0.15 then P( − b < Z < b)=0.7 3. If X represents a random variable coming from a normal...