Two main methods are used to estimate the number of jelly beans in a jar, including mathematical formulas for volume and statistical estimation by counting the number of candies in a similar jar. An easy way to estimate the beans is to count the height and diameter of the jar in beans, and then input those numbers into a volume calculation for round cylinders.Know More
The volume formula for a cylinder is V = pi x r^2 x h. One suggestion for using this formula involves rounding pi to 3 and counting the radius as half of the jar's diameter in beans. For example, if a jar is 10 beans in diameter and 20 beans in height, the volume is three times 5 squared times 20, or 3 times 25 times 20. The answer is approximately 1,500 beans.
Estimate the number of jelly beans by taking statistical samples. Obtain the exact same jar with jelly beans of the same size. Count jelly beans into the jar, up to the exact level of jelly beans, several times to get an average. For instance, it could be that over six different counts there are 587, 579, 593, 579, 591 and 585 jelly beans. This averages out to an estimate of 586 jelly beans in the jar.Learn more about Statistics
Although the number of candies depends on the specific bag size, there are approximately 360 candies in a 22-ounce bag of candy corn. To figure out the number of candies in this bag, it is necessary to know that there are 20 candy pieces in one serving size and that there are about 18 servings in one 22-ounce bag.Full Answer >
The coefficient of variation is used in statistics to measure distribution. It can be found from the ratio of the standard deviation over the mean of a set of numbers to calculate both probability and frequency. When it is used in finance, the mean is considered the expected return.Full Answer >
A Z-test is commonly used in statistics to determine whether a given hypothesis is true in a normal distribution or bell curve. Z-tests are optimal for sample sizes of 30 or greater, while student t-tests are best used for lower sample sizes.Full Answer >
Unequal class intervals can be used in frequency distribution if the rate of occurrence is very unevenly distributed, with certain classes showing far lower or far greater frequencies than those on either side. In many data tables and histograms, consistent intervals are used, but they cannot always account for irregularities and outliers like those that strategically use unequal intervals.Full Answer >