Mean Mode and Median

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

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

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:

4. Give the mean for the median column of the Worksheet. Is this estimate centered about the parameter of interest (the parameter of interest is the answer for the mean in question 2)

7. The mean (X—) is a measure of ____________ ______________ of a distribution while the SD is a measure

Research results tell us information about data that has been collected. Within the data results, the author states the results are statistically significant, meaning that there is a relationship within either a positive and negative correlation. The M (Mean) of the data tells the average value of the results. The (SD) Standard Deviation is the variability of a set of data around the mean value in a distribution (Rosnow & Rosenthal, 2013).

The mean for the median column of the worksheet is 3.6Yes, the estimate is centered about the parameter of interest.

5. When is it more appropriate to use the median as a measure of center rather than the mean? Why?

2. Quantitative because the data given is concrete and generalizations like mean and mode can easily be identified.

Indicating the individual number 65 gives a 5 point range to the mean. It seems the median is the most accurate way to discribe the data set, as it uneffected by the outlier value.

The mean (x) is a measure of _central__________ __tendency___________ of a distribution while the SD is a measure of __dispersion___________ of its scores. Both x and SD are _descriptive___________ statistics.

Statistical dispersion is measured by a number system. The measure would be zero, if all the data were the same. As the data varies, the measurement number increases. There are two purposes to organizing this data. The first is to show how different units seem similar, by choosing the proper statistic, or measurement. This is called central tendency. The second is to choose another statistic that shows how they differ. This is known as statistical variability. The most commonly used statistics are the mean (average), median (middle or half), and mode (most frequent data). After the data is collected, classified, summarized, and presented, then it is possible to move on to inferential statistics if there is enough data to draw a conclusion.

Average Variance Extracted (AVE) is a measure used to gauge convergent validity. AVE is the mean amount of variance in indicator variables that a dimension is able to describe. AVE for each dimension can be generated by sum of squares of completely standardised factor loadings divided by this sum added to the aggregate of error variances for

Based on the chart, the mean was calculated by adding up the sum of the list and divide 18, which the number of the total listed prices. The mean is 135,000, which mean the average of the listed price. Secondly, the median was calculated by listing the number in numerical order from lowest to highest and located the number in the middle 126,000. The median represents the middle number of the listed price. After calculating the median I located the minimum and maximum based the lowest and highest data, which are 48,000 and 338,000. These represent the range of the listed price. Lastly, I used the formula to get the

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