Question

​Often, frequency distributions are reported using unequal class widths because the frequencies of some groups would otherwise be small or very large. Consider the following​ data, which represent the daytime household temperature the thermostat is set to when someone is home for a random sample of 746 households. Determine the class​ midpoint, if​ necessary, for each class and approximate the mean and standard deviation temperature.

Temperature (deg F)	Lower Limit	Upper Limit	Frequency
61-64	61	64.99	32
65-67	65	67.99	66
68-69	68	69.99	195
70	70	70.99	190
71-72	71	72.99	118
73-76	73	76.99	90
77-80	77	80.99	48

1a.

Class		Class Midpoint
61-	64
65–	67
68	69
70
71–	72
73–	76
77–	80

​(Round to one decimal place as​ needed.)

1b.

The sample mean is degrees°F. (Round to one decimal place as​ needed.)

2c. The sample standard deviation is degrees°F. (Round to one decimal place as​ needed.)

Answer 1

Sample mean = 70.8 0F

Sample standard deviation = 3.4 0F

Complete solution is given in attached image:

Thank You...!