0
z =0 and P(X< x) = 0.5 Explanation: z = (x-xbar)/sd, where xbar is the estimated mean or average of the sample, sd is the standard deviation, and x is the value of the particular outcome. We change x to z so that we can use the normal distribution or t-tables tables, which are based on a zero mean and 1 standard deviation. For example: What is the probability that the mean value of the distribution is 5 or less, given the sample average is 5 and the sd is 2? The z-score would be (5-5)/2 which is equal to 0. The probability, if we assume the normal or t-distribution, is 0.50. (see normal distribution tables) I hope this makes sense to you. The normal distribution is symmetrical. Per the example, a sample average of 5 tells you there is equal chance of the population mean being above and below 5.
What else can I help you with?
Can the mean be greater than the greatest value in a data set?
No.
Can there be more than one mean in a set of numbers?
No. But there can be more than one data point which has the same value as the mean for the set of numbers. Or there can be none that take the mean value.
What is the minimum data value in a data set?
The minimum data value in a data set is simply the lowest value of the set (easily found by arranging the set from lowest-highest values in an excel sheet or by hand).
The mean of a set of data is the middle value If there are two middle values it is the mean of the two middle values?
false
The range of a set of data is 48 If the lowest value in the data set is 2 what is the highest value?
50
If you Subtract the lowest score in the data set from the highest score you are determining the?
You Get The Mean
When can the mean be the largest value in the data set?
When the data set consistys of a single value.
What is a modal score?
A modal score is the value that appears most frequently in a data set. It is a measure of central tendency, like the mean and median, but specifically identifies the mode among the values. In some cases, a data set may have more than one modal score if multiple values occur with the same highest frequency, making it multimodal. If no value repeats, the data set is considered to have no mode.
In a data set can there be two of the same z scores?
Every unique value has a unique distance from the mean, which leads to a unique z-score.
What is the least value of the data set?
The least value of the data set is called the minimum.
Is the mean sometimes a value in a data set?
Yes.
The mean score for a test is 88 One more score is added the data Is it possible for the mean to remain 88 Explain?
176
What is the z-score of this kernel Round your answer to two decimal places.?
To calculate the z-score, you need the mean and standard deviation of the data set, as well as the value for which you want to find the z-score. The formula for the z-score is ( z = \frac{(X - \mu)}{\sigma} ), where ( X ) is the value, ( \mu ) is the mean, and ( \sigma ) is the standard deviation. Without specific values for these parameters, I can't provide a numerical answer. Please provide the necessary data for further assistance.
Can the mean be greater than the greatest value in a data set?
No.
A data set has 9 values The mean of the set is 5 When a tenth value is added the mean becomes 6 What is the tenth value?
15
Can the mean be greater than the greatest value in the data set?
No, the mean cannot be greater than the greatest value in a data set. The mean is calculated by summing all the values and dividing by the number of values, which means it will always fall within the range of the data set. Therefore, the mean will always be less than or equal to the maximum value.
What is meant by the standard deviation of a data set?
It is a measure of the spread of the data around its mean value.
