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In Excel you can calculate the mode from the set of values by using the MODE function. If you wanted the mode from the range of cells from A2 to D50, then it would be:=MODE(A2:D50)
Yes- the highest probability value is the mode. Let me clarify this answer: For a probability mass function for a discrete variables, the mode is the value with the highest probability as shown on the y axis. For a probability density function for continuous variables, the mode is the value with the highest probability density as shown on the y-axis.
Loss of function in multiple structures, systems, and components in the same manner.
To find the zeros of a function using a TI-30X calculator, first, enter the function into the calculator using the appropriate mode (usually in "function" mode). Then, use the "Table" feature to generate values of the function. Look for where the function changes signs, indicating a zero. You can then estimate the zero by narrowing down the interval around the point where the sign change occurs. Note that the TI-30X does not have a built-in root-finding feature, so you might need to use a graphing calculator for more precise results.
(10, 15, 15, 15, 20) The answer above displays a sample in which the sample mean, sample median and sample mode assume the same value. If you were asking about populations, then the population mean, population median and population mode are the same whenever the probability density function for the population is symmetric. For example, the normal probability density function is symmetric, the t and uniform density functions are symmetric. Many are.