Central Tendency

1. For the following scores, find the mean, median, and the mode. Which would be the most appropriate measure for this data set?

Standard deviation is a way of visualizing how spread out points of data are in a set. Using standard deviation helps to determine how rare or common an occurrence is. For example, data points falling within the boundaries of one standard deviation typically account for about 68% of data and those between (+/-)1 standard deviation and (+/-)2 standard deviations make about 27% combined. This can be better visualized by using a bell graph. Using the mean and standard deviation, the points where standard deviations occur can be drawn on the graph to better understand which data is rare and which is common.

We know that +/- 1.96 standard deviations from the mean will contain 95% of the values. So, we can get the standard deviation by:

Mean is the average of a group of scores (Woolfolk, 2014). Mean and average are used interchangeably. To find the mean, a teacher will add all of the scores together and divided by the number of tests. For example, a teacher wants to find the mean of the spelling test, the spelling test scores are as the following, 10, 8, 7, 8, 10, 10, 6, 5, 7, and 5. The first step is to add all of the scores together (76). The second step is to divided by the number of tests (10), the quotient is the mean (7.6). The first math equation is 10+8+7+8+10+10+6+5+7+5=76. The second math equation is 76/10=7.6. The mean of the

Answer: The standard deviation can be calculated by subtracting the expected return from the actual return for each year and squaring the results. The squares are summed, and divided by the number of observances minus 1. The square root of that result is the standard deviation.

Theoretically from the recorded data the calculated mean, median, and mode will be the most accurate representation of the real world value. The difference between the highest recorded value and lowest recorded value is the range in the set of data. Standard deviation (s) is a quantity calculated to indicate an extend of deviation for a group of data as a whole (Marshall). This is calculated using:

Standard Deviation of Mean= 0.4762Standard Deviation of Median= 0.7539The standard deviation of the Mean is smaller, which means all of the data points will tend to be very close to the Mean. The Median with a larger Standard Deviation will tend to have data points spread out over a large range of values. Since the Mean has the smaller value of the Standard Deviations, it has the least variability.

and SD are _______________________ statistics. The mean is the measure of Central tendency of a distribution while SD is a measure of dispersion of its scores. Both X and SD is descriptive statistics.

Standard Deviation for the mean column is 0.476Standard Deviation for the median column is 0.754Standard deviation for the mean column has least variability

7. a) How are the scores reported? b) What kind of scores does the instrument yield?

In Hawaii, condemnation proceedings are under way to enable private citizens to own the property that their homes are built on. Until recently, only estates were permitted to own land, and homeowners leased the land from the estate. In order to comply with the new law, a large Hawaiian

The data is collected from 36 students from Garland High School. They were from ages 16-18 years old. These students were picked based on convenience. This survey might be somewhat biased because some students did not want to take it because they did not know their information. The survey was anonymous, except for the gender. With the data I collected, I did the standard deviation, scatter plot graphs, and correlation coefficient. Standard deviation is the diffusion of data. I used it because it tells you how widely spread your data is. It’s used when assessing data. To find the standard deviation, it’s necessary to first find the mean. Now we find how far each value is from the mean (the deviation). Then, square the deviations and find the mean of those values. I used a scatter plot graph

These represent the range of the sale price. Lastly, I used the formula to get the standard deviation 48,945.28, which measures the variability.

5. The arithmetic mean is only measure of central tendency where the sum of the deviations of each value from the mean will always be zero

As we progressed through primary and secondary schooling, we probably learned different mathematical concepts such as mean, median, mode, and range. These mathematical concepts may be considered easy mathematical concepts, but they are part of complex statistical ideas. Meier et al. (2015) discusses in his textbook the usage of range and other variety of dispersion measures. He