In: Statistics and Probability
The following data represent the high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts (a) through (c).
Temperature (degrees F) Lower Limit
Upper Limit Days
50-59 50 59 1
60-69 60 69 307
70-79 70 79 1467
80-89 80 89 1514
90-99 90 99 455
100-109 100 109 7
(1a) Approximate the mean and standard deviation for temperature.
μ=_____degrees°F (Round to one decimal place as needed.)
σ=____degrees°F (Round to one decimal place as needed.)
(1b)
Is the distribution bell shaped?
A.
Yes, the frequency histogram of the data is bell shaped.
B.
No, the frequency histogram of the data is uniform.
C.
No, the frequency histogram of the data is skewed left.
D.
No, the frequency histogram of the data is skewed right.
(1c)
According to the Empirical Rule, 95% of days in the month will be between what two temperatures? ___degrees°F and ____degrees°F (Round to one decimal place as needed. Use ascending order.)