Statement of Tasks: The plan is to obtain data of female juniors involved in sports and the relevance to their grade point averages. The data will be collected through a survey. The survey will be distributed to fifty female juniors that attend Taft High School. The survey will ask the student to state the curriculum such as IB or other (Regular/Honors). Students will also have to state their grade point averages. The researcher has to assure that each student is either involved or has recently been involved in a sport. A statistical analysis will be applied to the data in order to uncover any relevance of the data. The analysis will require a chi-squared (x2) test.
Detailed Plan: I, the researcher, surveyed fifty female juniors
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I add up all the GPAs and then divide by the total number of GPAs.
5.1+ 4.6+ 4.7+ 4.7 + 4.7+ 4.8 + 4.3 + 4.2 + 4.6 + 4.3 + 4.3+ 4.6 + 4.8 + 4.5+ 3.8 + 3.6 + 3.8+ 3.5 + 3.3 + 3.3 = 85.5
85.5/20=4.28
= 4.28
This is the mean found for Others GPA.
4.1 + 3.6 + 3.4 + 3.4 + 3.65 + 3.48 + 3.2 + 3.8 + 3.7 + 3.8 + 3.1+ 3.9 + 3.2 + 3.1+ 3.2 + 3.0+ 3.0 + 2.9+ 2.9 + 2.5+ 3.0+ 2.7+ 3.0 + 2.8+ 2.7 + 2.6 + 2.0+ 2.0 + 1.7+ 2.0= 92.43
92.43/30=3.08
= 3.08
In order to find the median for IB and Others GPA, I must put the GPAs in numerical order. Since both totals are even numerals, I have to take the mean of the two middle numbers of the set of GPA. IB median: 4.3+4.5= 8.8 8.8/2= 4.4
Others median: 3.0+ 3.1=6.1 6.1/2 = 3.05
There several modes within each data set. I simply look for repeating digits. Since there is a handful, I will only choose of the many modes to be the main mode for the sets.
IB mode: 4.7 and 4.3
Others mode: 3.0
This is some of the input of GPAs in a graphic display calculator (GDC). I will use the GDC to show the central tendency. First, I input the GPA. After, the data was in I pressed on STAT.
Then, I went to CALC and pressed ENTER on the first option.
1-Var stats (IB)
1-Var Stats (Others)
x2 test for independence
≤ 5.0 ≤ 4.0 ≤ 3.0 Total
IB 14 6 0 20
Other 1 14 15 30
Total 15 20 15 50
Observed frequency (Fo)
1) First, I must set up
Rounded to the closest hundreth, the standard deviation for the set is approximately 19.52. Juxtaposed
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.
The mode is the most frequent score in our data set. On a histogram it represents the highest bar in a bar chart or histogram. You can, therefore, sometimes consider the mode as being the most popular option
(60% are 30 s) + (15% are 40 s) + (5% are 240 s) + (3% are 50 s)
1. For the following scores, find the mean, median, and the mode. Which would be the most appropriate measure for this data set?
For the education data, I must say to calculate the median, from high school to college graduate, the median would be the some college portion since it would be the middle. The median for the experimental group would be 11 and 34.4% and for the control group it would be 15 and 41.7%.
1. By hand, compute the mean, median, and mode for the following set of 40 reading scores:
2.52 0.63 49.19 3.50 74.31 39.83 69.86 96.97 5.34 1.46 0.65 0.57 5.73 1.47 35.22% 13.06% 7.01% 12.42% 29.41%
665 0.34 174 216 537 234 122 1.2 0.2 60.4 9.6 0.22 65.0 2,149 554 66.6 2,483 80,300 492 14 23 6 21 15 874 524 12,216 30
2) The salaries of ten randomly selected physicians are shown below. Find the median salary.
3.375(1 + r)-1 + 3.375 (1 + r)-2 + 3.375 (1 + r)-3 + ...…+ 3.375 (1 + r)-40+100(1 + r)-40 = 95.6
Determining the mean and the median of the checking accounts for Century National Bank, we are trying to find the single value that will represent all 60 checking accounts in our sample. That single value will be measure of central tendency.
= (89.14 + 83.72 + 82.7 + 86.54 + 93.87 + 88.88 + 92.5 + 90 + 97.5) ÷ 9
Min 3.2x1 + 2.2x2 + 4.2x3 + 3.9x4 + 1.2x5 + 0.3x6 + 2.1x7 + 3.1x8 + 4.4x9 + 2.7x10 + 4.7x11 + 3.4x12 + 2.1x13 + 2.5x14 + 6.0x15 + 5.2x16 + 5.4x17 + 4.5x18 + 6.0x19 + 3.3x20 + 2.7x21 + 5.4x22 + 3.3x23 + 2.4x24 + 0.3x25 +0.7x26 + 3.5x27