The following data represent the length of life in years, measured to the nearest tenth, of 30 similar fuel pumps: 2.0 3.0 0.3 3.3 1.3 0.4 0.2 6.0 5.5 6.5 0.2 2.3 1.5 4.0 5.9 1.8 4.7 0.7 4.5 0.3 1.5 0.5 2.5 5.0 1.0 6.0 5.6 6.0 1.2 0.2 (a) Construct a stem-and-leaf plot for the life in years of the fuel pumps, using the digit to the left of the decimal point as the stem for each observation. (b) Set up a relative frequency distribution. (c) Compute the sample mean, sample range, and sample standard deviation.
Accepted Solution
A:
Answer:a) Leaf Stem0 | 2,2,2,3,3,4,5,71 | 0,2,3,5,5,82 | 0,3,53 | 0,34 | 0,5,75 | 0,5,6,96 | 0,0,0,5b) Digit Frequency Relative frequency0 8 8/30=0.2671 6 6/30=0.22 3 3/30=0.13 2 2/30=0.0674 3 3/30=0.15 4 4/30=0.1336 4 4/30=0.133__________________________________Total 30 1.00Step-by-step explanation:For this case the first step is order the data from the smallest value to the largest and we have this:0.2, 0.2, 0.2, 0.3,0.3, 0.4, 0.5, 0.7, 1, 1.2, 1.3, 1.5, 1.5, 1.8, 2, 2.3, 2.5, 3, 3.3, 44.5, 4.7, 5, 5.5, 5.6, 5.9, 6, 6, 6, 6.5Part aWe can create the stem leaf plot like thisLeaf Stem0 | 2,2,2,3,3,4,5,71 | 0,2,3,5,5,82 | 0,3,53 | 0,34 | 0,5,75 | 0,5,6,96 | 0,0,0,5Part bWe can create a frequency distribution using the digit to the left of the decimal point like this:Digit Frequency Relative frequency0 8 8/30=0.2671 6 6/30=0.22 3 3/30=0.13 2 2/30=0.0674 3 3/30=0.15 4 4/30=0.1336 4 4/30=0.133__________________________________Total 30 1.00