Construct a relative frequency histogram for the data, The value x = 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the observation? and The average wind speed in Chicago is recorded as 9.9 miles per hour. Do you consider this unusually windy?

9.0 7.2 9.3 7.7 7.9 11.5 8.0 10.5 10.3 4.5 35.1 9.4 9.4 8.4 7.7 8.0 6.9 7.3 8.5 10.1 7.2 6.1 6.1 10.6 11.2 8.2 10.3 10.0 6.5 6.9 7.4 9.7 9.4 10.4 9.8 6.5 8.3 8.9 8.1 7.9 11.4 7.5 7.0 9.7 6.2 7.4 9.9 10.3 8.2 9.5 8.5 7.9 7.5 9.9 (a) Construct a relative frequency histogram for the data. (HINT: Choose the class boundaries without including the value x - 35.1 in the range of values.) Relative Relative Frequency =requency 0.30 0. 30 0.25 0. 25 0.20 0. 20 0.15 0. 15 0.10 0. 10 0.05 H 0. 05 [I] . . |:| . I'I Speed Speed 8 12 15 20 24- 25 32 35 (mph) 12 15 20 24- 28 32 35 (mph) Relative Relative Frequency Frequency 0.30 0. 30 0.25 0. 25 0.20 0. 20 0.15 0.15 0.10 0. 10 0.05 _' U 0. 05 I D I D [ll Speed Speed 8 12 15 20 24 25 32 35 (mph} 23 24 28 32 35 (mph) (b) The value x - 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the observation? Yes, since Mt. Washington is a very mountainous area, It is not unusual that the average wind speed would be very high. No, since Mt. Washington is a very mountainous area, we would expect the average wind speed to be very low. (c) The average wind speed in Chicago is recorded as 9.9 miles per hour. Do you consider this unusually ilirindyiI Yes, the value x - 9.9 Iles far from the center of the distribution, so it Is considered unusually high. No, the value x - 9.9 does not lie far from the center of the distribution, excluding x - 35.1, so it Is not considered unusually high.