Question

Listed below are the heights from a sample of male students (in inches 72 70 69 75 69 71 75 72 74 73 70 75 74 71 78 65 75 70 a. [3 pts] Create an ordered stem and leaf display for these data. b. [1 pt] How many students are measured? c. [1 pt] What percentage of students are at least 70"? (Round to 1 decimal place.)

Thank you!

Answer 1

Stem-and-Leaf Display: X Stem-and-leaf of X N Leaf Unit = 1.0 18 3 6 599 (10) 7 0001122344 5 7 55558

Interpretation:

The stem-and-leaf display enables that the distribution is approximately right skewed distribution of the sample of heights of the students (X). Since, the mean is greater than the median. The curve looks like an approximate symmetric curve.

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b) The number of students that are measuredis V-18 The frequency di stribution is given in following table The smallest number is 65 The largest number is 78 The formula for calculating the range is Range-Maximum -Minimunm 78-65 Range -13 The formula for calculating the class width is Class width- Range Number of classes 13 4 4.333333 Class width ss 4.3333 (c) The Computati on Table Class interval |frequency Relative frequency 0.166667 0.444444 0.333333 0.055556 Percentage 65-69 69-73 73-77 77-81 16.66667% 44.44444% 33.33333% 5.555556% -18 The number of the students are at least 70 is 8+6+1-15 The total number of the students is 18 The percentage of the number of students are at least 70 is obtained by dividing the number of the students are at least 70 with the total number of students is 15 Percentage (At least 70) 0.833333 83.33% Percentage (At least 70)-E3 3%) Therefore, the percentage of the number of students are at least 70 is Percentage (At least 70)s 1833%)