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 range of a set of data is 48 If the lowest value in the data set is 2 what is the highest value?
50
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
When can the mean be the largest value in the data set?
When the data set consistys of a single value.
If you Subtract the lowest score in the data set from the highest score you are determining the?
You Get The Mean
What is the least value of the data set?
The least value of the data set is called the minimum.
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.
Is the mean sometimes a value in a data set?
Yes.
Can the mean be greater than the greatest value in a data set?
No.
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
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
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.
Why is it helpful to find the mean of a data set?
It is one of the key measures of a data set: it shows the value around which the observations are spread out.
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.
Would you use mean mode median to average the points?
mean is the average of numbers in the data set mode is the most frequently occurring value in a data set and median is the middle number of the data set so you would use mean
