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Diameters of 30 rivet heads in 1/100 of an inch are given below: 6.62 6.66 6.7 6.73 6.76 6.8 6.62 6.68 6.72 6.74 6.76 6.81 6.64 6.7 6.72 6.74 6.76 6.81 6.66 6.7 6.72 6.74 6.77 6.81 6.66 6.7 6.72 6.75 6.78 6.82 Prepare a Stem-and-leaf plot...

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Basic Math

Diameters of 30 rivet heads in 1/100 of an inch are givenbelow:

6.62

6.66

6.7

6.73

6.76

6.8

6.62

6.68

6.72

6.74

6.76

6.81

6.64

6.7

6.72

6.74

6.76

6.81

6.66

6.7

6.72

6.74

6.77

6.81

6.66

6.7

6.72

6.75

6.78

6.82

  1. Prepare a Stem-and-leaf plot of the sample, and comment.
  2. What is the modal diameter of the rivets?
  3. Calculate coefficient of skewness, and comment on it.
  4. Find Q1, Q2, and Q3.
  5. Find 93rd percentile and interpret this value.
  6. Draw a box plot and comment.
  7. Do the data satisfy Empirical Rule?
  8. Calculate coefficient of variation and comment on it. Is thevariation in the sample relative to the mean too much?
  9. Prepare a relative frequency distribution of thedata.
  10. What proportion of the observations that fall belowthe first quartile for the above sample?
  11. What proportion of the observations that fall above themean?
  12. What proportion of the observations that fall within2 standard deviation of the mean?
  13. Calculate z-scores of the smallest and the largestobservations in the sample. What do they add?

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