According to a national weather service, during the month of June 2016,4% of days were 20◦ Celsius or lower, 10% were 21◦ Celsius or lower, 26% were 22◦ Celsius or lower, 48% were 24◦ Celsius or lower, 67% were 25◦ Celsius or lower, and 96% were 27◦ Celsius or lower. These are called cumulative percentages.

(a) Find the median temperature for the month of June.

(b) Nearly all the daily temperatures fall between 26 and 19◦ Celsius, with less than 1% falling outside that range.

If the temperatures are approximately bell shaped, give a rough approximation for the standard deviation. Explain your reasoning.