1 / 14

Measures of Central Tendency and Measures of Dispersion

Measures of Central Tendency and Measures of Dispersion. Probability & Statistics Sections 2.3, 2.4. What does a standard deviation of 0 mean?. The mean is very low. The data values are all very close in value. The data values must all be the same. All the data values must be 0.

ita
Download Presentation

Measures of Central Tendency and Measures of Dispersion

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Measures of Central Tendency and Measures of Dispersion Probability & Statistics Sections 2.3, 2.4

  2. What does a standard deviation of 0 mean? • The mean is very low. • The data values are all very close in value. • The data values must all be the same. • All the data values must be 0.

  3. If the sample variance is calculated and found to be s2 = 9, what is the standard deviation? If the sample variance is calculated and found to be s2 = 9, what is the standard deviation? • 3 • 3 or -3 • -3 • 81

  4. Given the extension table below, find the sample standard deviation using the formula for the sample variance. Given the extension table below, find the sample standard deviation using the formula {image} for the sample variance. x {image} {image} 24 -10 100 37 3 9 34 0 0 45 11 121 30 -4 16 • 61.5 • 7.8 • 246 • 7.0

  5. Which variable would most likely have a left-skewed distribution? • age of college students at local community college • heights of college students • grades on a very difficult statistics exam • age at which death occurs

  6. Which of the following data sets does not have a mean of 3? • 3, 3, 3, 3, 3 • 0, 3, 3, 3, 6 • 1, 4, 2, 2, 6 • 3, 3, 3, 3, 5

  7. What is the median of the data set {4, 7, 8, 2, 9}? • 2 • 6 • 8 • 7

  8. Find the median age of the math department if the members' ages are: 30, 46, 50, 26, 70, 57 • 46 • 50 • 48 • 38

  9. The histogram of 19 exam scores is given below. Estimate the median score. The histogram of 19 exam scores is given below. Estimate the median score. {image} • 60 • 65 • 70 • 75 • 80

  10. Which set of numbers has a mean that is equal to its median? • 2, 3, 4, 2, 6 • 1, 6, 5, 4, 1 • 7, 1, 1, 2, 6 • 2, 2, 1, 1, 4

  11. Which data set has a mode of 3? • 7, 7, 7, 5, 2 • 1, 1, 3, 3, 5 • 8, 3, 7, 3, 2 • 5, 5, 5, 1, 1

  12. Consider the data set {11, 14, 6, 11, 3}. After a typographical error is discovered, the first 11 was changed to a 17. Which of the following would remain unchanged? • midrange • median • mean • mode

  13. What word best describes a distribution whose mean is significantly larger than its median? • uniform • symmetric • right-skewed • left-skewed

  14. Consider the weights (in pounds) of the five children at a local daycare center:24, 37, 34, 45, 30What is the range? • 6 • 21 • 23 • 10.5

More Related