The Mount Washington Observatory (MWO) in New Hampshire claims to have the world€™s worst weather. On the next page are some data on the weather extremes recorded at the MWO.

a. Calculate the mean and median normal daily minimum temperature across the year. 

b. Calculate the mean, median, and mode for the record low temperatures. 

c. Calculate the mean , median, and mode for the peak wind-gust data. 

d. When no mode appears in the raw data, we can compute a mode by breaking the data into intervals. How might you do this for the peak wind-gust data? 

e. Calculate the range, variance, and standard deviation for the normal daily minimum temperature across the year. 

f. Calculate the range, variance, and standard deviation for the record low temperatures. 

g. Calculate the range, variance, and standard deviation for the peak wind-gust data.

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Normal Normal Peak Wind Daily Daily Record Gust in Miles per Hour (year) Maximum Minimum Low in °F (°F) (°F) Month (year) January 173 (1985) 14.0 -3.7 -47 (1934) February 14.8 -46 (1943) 166 (1972) -1.7 March 21.3 5.9 180 (1942) -38 (1950) April 29.4 16.4 -20 (1995) 231 (1934) -2 (1966) May 41.6 29.5 164 (1945) 8 (1945) 136 (1949) June 50.3 38.5 54.1 24 (2001) 154 (1996) July 43.3 53.0 20 (1986) August 42.1 142 (1954) September 46.1 34.6 9 (1992) 174 (1979) -5 (1939) 161 (1943) October 36.4 24.0 November 27.6 13.6 –20 (1958) 163 (1983) 1.7 -46 (1933) 178 (1980) December 18.5