Question

Summary Statistics

	N	Mean	Std Dev	Min	Max
Year of Release	1649	1979	9	1955	2014
Play Count	1649	20	27	1	142

Roughly what percentage of songs played on Classic Rock Stations were written between 1970 and 1988?

What does it mean that the standard deviation of Play Count is larger than the mean?

Is the mean greater or less than the median for Play Count?

Answer 1

Result:

Summary Statistics

	N	Mean	Std Dev	Min	Max
Year of Release	1649	1979	9	1955	2014
Play Count	1649	20	27	1	142

Roughly what percentage of songs played on Classic Rock Stations were written between 1970 and 1988?

1970= 1979-9 = mean -1*sd

1988= 1979+9 = mean +1*sd

The empirical rule shows that 68% will fall within the first standard deviation

Therefore roughly 68% of songs played on Classic Rock Stations were written between 1970 and 1988.

What does it mean that the standard deviation of Play Count is larger than the mean?

The mean is a description of location. The standard deviation is a description of the data's spread, how widely it is distributed about the mean. A smaller standard deviation indicates that more of the data is clustered about the mean. A larger one indicates the data are more spread out. A large standard deviation in this case means data are not bell shaped or not normally distributed.

Is the mean greater or less than the median for Play Count?

The mean is 20 and maximum value is 142. This shows that the data is positively skewed. For positively skewed data, mean is greater than median.