A Correlation Between Height And Shoe Size

Mean would be the most appropriate measure of central tendency to describe this data. This is because the mean is the average of all scores in the data set. If Dr. Williams were to graph the data into a bell shaped distribution, then the mean would be in the center where most of the scores are located. The mean is calculated using all information of the data set, and is the best score to use if you want to predict an individual score.

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.

Let’s assume you have taken 1000 samples of size 64 each from a normally distributed population. Calculate the standard deviation of the sample means if the population’s variance is 49.

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.

2. Calculate descriptive statistics for the variable where students flipped a coin 10 times. Pull up Stat > Basic Statistics > Display Descriptive Statistics and set Variables: to the coin. The output will show up in your Session Window. Type the mean and the standard deviation here.

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:

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).

Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one size of shoes – regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are below:

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.

According to above analysis, we have found that there is a strong positive correlation between the shoe sizes and heights.

As mentioned in the prompt, wearing heels accounts for 75% of orthopedic problems in the United States. Additionally, high-heeled

Standard deviation is important in comparing two different sets of data that has the same mean score. One standard deviation may be small (1.85), where the other standard deviation score could be quite large (10)(Rumsey,

Athletic footwear cannot be designed to cater to a large group as in general. It has to produceits products with a distinct difference keeping in mind the age groups or usage groups it isintending to target.

The side of the shoe print can help us determine what gender left the footprint. The size can also help us figure out approximately how tall that specific person is because the bigger the foot it the taller the person will be in most occasions. Some other information that we could use based on the footprint is the pattern that is on that shoe. That could help be more specific on what kind of shoe that is and could even tell us the brand of

How tall you are does affect the size of your foot. “Taller people need a bigger base” (Tremblay), what Tremblay means by this is that the taller you are the bigger your foot should be so you can balance, walk, etc. “Every one centimeter grown adds .24 to the person’s shoe size” (Slack). “The normal height-to-foot ratio is about 6.6:1” (Tremblay). This means that for every 6.6 centimeters that your height increases, your shoe size will increase 1 inch. “Use the foot/height ratio to predict the height of someone” (Tremblay). The LSRL equation is “Height = 47.33 + 1.139 (length of your left foot, in centimeters) + 0.593 (length of your shoe, in centimeters) x 1.924 (shoe size)” (Tremblay). “A person can’t be 0 cm tall and have a negative