According to a national weather service, during the month of June 2016, 4% of days were 20â—¦ Celsius or lower, 10% were 21â—¦ Celsius or lower, 26% were 22â—¦ Celsius or lower, 48% were 24â—¦ Celsius or lower, 67% were 25â—¦ Celsius or lower, and 96% were 27â—¦ 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 19â—¦ 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.
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