For our Honors Math fall final this year we were assigned a task to collect 100 pieces of data from a survey question of our choice. With that question we surveyed 100 students from the same population. After collecting the responses we input the data into a spreadsheet to find the frequencies for each answer given. With those frequencies we then found the mean, median, mode, range, quartile 1, quartile 2, quartile 3, the interquartile range, maximum, minimum, outliers, standard deviation, and a z-score from the data. Further we were to create a hand drawn histogram and a box and whisker plot. Finding all of these is helping us come to a conclusion as to whether the responses to the survey question is normally distributed or not and if …show more content…
The next thing I found was the range. To find the range you take the maximum number in the set minus the minimum number in the set. In my data the range was 60. Next, I found the quartiles that would be used for my box and whisker plot. To find Quartile 1 you have to find the median of the data that falls below the median of the entire data. In my data Quartile 1 was 0. You do almost the same to find Quartile 3. You find the median of the upper half of the data. You can not use the median to find Quartile 3 so you have to use everything above it. Quartile 3 in my set of data was 14. Finding Quartile 2 is easy because it is the same as your median. To find any outliers you have to find the upper limits and the lower limits. To do this you must find the interquartile range first. To do that, you subtract Quartile 1 from Quartile 3. With the interquartile range, you then can add it to Quartile 3 and subtract it from Quartile 1. By adding the interquartile range to Quartile 3 you are creating the upper limit and by subtracting the interquartile range from Quartile 3 you are finding the lower limits. In this case all four of my outliers fell above the maximum limit of 36 because you can not fly negative times and 0 falls within the limits. Lastly, I found the standard deviation of my entire 100 pieces of data. To do this I wrote all the numbers that would be found of the x-axis ( 0 - 60 ). Then I found the average of all of
2. Based on the scale of measurement for each variable listed below, which measure of central tendency is most appropriate for describing the data?
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.
4. Calculate the following measures of central tendency for the set of cube measurement data. Show your work or explain your procedure for each.
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
The data that I have is accurate because by looking at the histogram the graphs are perfectly skewed and, the data make sense, if I compare the data to the median and the IQR. And to find IQR subtract Quartile 3 from Quartile 1. The purpose of using mean value to see if the graph is symmetric or not but, in my case I do not have symmetrical graph or Boxplot, because it is sensitive to outliers. I choose to use the IQR instead of the standard deviation because it shows what is below the 1st quartile and above the 3rd quartile. To summarize, median and IQR are the best option because they resistant to outliers.
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.
The lab uses the measurements of a wooden dowel in length and diameter to collect data in order to interpret data in report form. The data is used to produce statistical data and how to correctly present it. A ruler and micrometer were used to measure the dimensions. Spreadsheets are then constructed in order to generate standard deviation, mean, median, mode, frequency, as well as variation of length, diameter, volume, and cross sectional area of the
2. Based on the scale of measurement for each variable listed below, which measure of central tendency is most appropriate for describing the data?
a. What is a Z score for a car with a price of $ 33,000?
standard deviation standardized value rescaling z-score normal model parameter statistic standard Normal model 68-95-99.7 Rule normal probability plot
5. In HANESS, the men age 18 and over had an average height of 69 inches and an SD of 3 inches. The histograms is show below, with a normal curve. The percentage of men with heights between 66 inches and 72 inches is exactly equal to the area between (a) and (b) under (c). This percentage is approximately equal to the area between (d) and (e) under the (f). Fill in the blanks.
Q7: Create a bar graph or pie chart of the data you have collected. For example, you could create a bar graph that shows the employee turnover rate in organizations that do offer flexible work arrangement compared to organizations that do not. Alternately, you could create a pie chart that shows which types of flexible work arrangement workers want the most.
To begin the statistical analysis of the data provided, we need to present the statistical description of it, take a general look at the means and medians for each sector and test the normal distribution of the data to see if we can undertake any further test.
What happens when a little girl is raised without her father? When little girls are raised without their fathers it causes them to lose self-respect, feel undeserving, lose hope, and leads them into a state of depression. Iyanla Vanzant participated in a show for Oprah’s Lifeclass. During the show she speaks on what happens when girls are raised without their fathers and she calls these type of girls “daddyless daughters.” According to Iyanla, “the role of a father is to teach his daughter how to be in a nonsexual, intimate relationship with a man.” With this being said a girl first relationship should be with her father because he becomes her first love and sets the standards for a man. She should be his princess and he should be her prince. He should teach and show her how she should be treated as a woman as she grows older. A mother can only tell a young girl the right way she should be treated as a woman but cannot show her unlike a father could. What will happen if daddy leaves? According to Iyanla in an explanation says that “the daughter will lack the healthy model and seeks to fill that void in many ways.” The void for young girls is a way for them to escape reality of something they have been dealing with their whole lives and that’s not having a father to guide them. One of these voids leads them to settle for anything less of what they deserve when searching for a partner. They tend to allow things in a relationship like cheating and disrespect constantly because they don’t know that a man who loves you and values you wouldn’t deceive you in any type of way. Not only do they allow cheating and lying but they go back to the same person over and over again or they find the same qualities in a different guy. Iyanla states. “If you want so much to be with the wrong one, imagine how good it will feel when the right one shows up.” Not only does growing up without a father affect young girls but young males as well. Dr. Steve Perry had a voice in Oprah’s “Lifeclass Discussion” on the fatherless son’s issue. Dr. Steve Perry agreed with the idea that it’s very important for daughters to have a strong father figure. He believes that a father sets the