Polar Magnets Limited is a global supplier of neodymium magnets. Based in Japan, it manufactures magnets of various sizes and shapes such as circular, rectangular, cylindrical, and spherical. Recently, it introduced a new ring-shaped magnet with a diameter of 25 mm and a pull strength of 6.5 kg. The manufacturing size tolerance is +/- 0.1 mm, the pull strength is 6.5 kg with a tolerance of +/- 200 g. To ensure that the new range is in line with the specification, an analyst gathered data of a random sample of 100 magnets.
a. Draw a histogram for these data.
b. Magnets with pull strength less than 5.8 kg or more than 6.2 kg are considered to be out of specification.
Based on the sample data, what percentage of the magnets will be out of specification?

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Pull Weight of the Magnet (kg) 6.05 6.22 6.14 6.51 6.19 6.73 6.25 6.45 6.51 6.44 6.01 6.06 6.79 6.51 6.54 6.95 6.16 6.16 6.5 6.03 6.43 6.47 6.86 6.4 6.2 6.37 6.44 6.69 6.78 6.05 6.68 6.97 6.91 6.82 6.22 6.79 6.41 6.14 6.96 6.65 6.97 6.15 6.68 6.7 6.6 6.36 6.25 6.23 6.02 6.81 6.52 6.71 6.45 6.31 6.9 6.1 6.31 6.21 6.1 6.02 6.09 6.34 6.33 6.85 6.4 6.52 6.56 6.96 6.96 6.58 6.31 6.06 6.14 6.9 6.66 6.63 6.06 6.94 6.22 6.23 6.82 6.58 6.99 6.4 6.36 6.32 6.7 6.38 6.4 6.34 6.12 6.3 6.08 6.52 6.24 6.98 6.64 6.42 6.42 6.18 6.78