Question

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 Lower Limit Upper Limit Days

50-59 50 59 2

60-69 60 69 313

70-79 70 79 1419

80-89 80 89 1503

90-99 90 99 319

100-109 100 109 9

50-59 50 59 2

60-69 60 69 313

70-79 70 79 1419

80-89 80 89 1503

90-99 90 99 319

100-109 100 109 9

(a) Approximate the mean and standard deviation for temperature.

Step 1

Here, first lower case and upper case limits are 50 and 59. Then, the midpoint of the class is 54.5 (=(50+59)/2); so *x*_{1} is 54.5. Similarly, calculate the midpoints for the remaining classes.

Step 2

The values of ∑*f _{i}*, ∑

Step 3

The mean for temperature is ...

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