Mean 444 the mean shows the average number of

Info icon This preview shows pages 2–3. Sign up to view the full content.

View Full Document Right Arrow Icon
these sample statistics below and provide a brief interpretation. mean: 4.44 The mean shows the average number of delinquencies. median: 4 The median is less affected by skew, which shows that this value is exactly in the middle. 4. Refer to the output from Question 2 to find the following sample statistics. Be sure to provide an interpretation of each. a. Find the mode. (Hint: use the relative frequencies to identify the modal number of delinquent acts.) The mode is 2, which shows that the most frequently occurring number of delinquencies is not that high. b. As one way to measure the dispersion, find the range and the interquartile range. Compute it by hand, using the frequency distribution from Question 2. Show your work and provide an interpretation. (Be sure to label.) Range: 15-0=15 The range is fairly large when it comes to the number of delinquencies the person made. Innerquartile range: 1Q= (1/4)Nth=50/4 th =12.5 th =13 th =2 3Q=(3/4)Nth= (3*50)/4=37.5 th = 38 th =7 3Q-1Q= 7-2= 5 The innerquartile range shows that the data is most likely right skewed, because it isn’t that high. c. As another way to measure the dispersion, find the variance and standard deviation. Compute them by hand, using the frequency distribution from Question 2. (Be sure to label these.) Provide a brief interpretation of the standard deviation. xbar= 4.44 x f xf x-xbar (x- xbar)^2 f*(x-xbar)^2 0 2 0 -4.44 19.7136 39.4272 1 6 6 -3.44 11.8336 71.0016 2 12 24 -2.44 5.9536 71.4432 3 3 9 -1.44 2.0736 6.2208
Image of page 2

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
4 7 28 -0.44 0.1936 1.3552 5 2 10 0.56 0.3136 0.6272 6 4 24 1.56 2.4336 9.7344 7 6 42 2.56 6.5536 39.3216 8 4 32 3.56 12.6736 50.6944 9 1 9 4.56 20.7936 20.7936 10 1 10 5.56 30.9136 30.9136 13 1 13 8.56 73.2736 73.2736 15 1 15 10.56 111.5136 111.5136 Sum= 50 Sum= 526.32 Variance S^2= 10.74122 Std Dev S= 3.277381 5. Now use Stata to check your work. Again, type summarize delinq, detail . Check
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern