Problem # 5 (16 pts). The following frequency distribution table represents the daily low temperature. A) Find the mean and the standard deviation of the given frequency distribution table. B) Construct a frequency polygon. Daily Low Temperature | Freq f | midpoint x | f·x | (f·x)² 35-39 | 1 | 37 | 37 | 40-44 | 3 | 42 | 126 | 45-49 | 5 | 47 | 235 | 50-54 | 11 | 52 | 572 | 55-59 | 7 | 57 | 399 | 60-64 | 7 | 62 | 434 | 65-69 | 1 | 67 | 67 |
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The midpoints are: - 35-39: (35+39)/2 = 37 - 40-44: (40+44)/2 = 42 - 45-49: (45+49)/2 = 47 - 50-54: (50+54)/2 = 52 - 55-59: (55+59)/2 = 57 - 60-64: (60+64)/2 = 62 - 65-69: (65+69)/2 = 67 Now, we can find the mean by multiplying the midpoints by their respective Show more…
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