The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at , and the third quartile would be drawn at .
The first quartile is 61 and the third quartile is 63.
From the given dot plot is noticed that
It means the data is in the form of
The median of data is middle term. The total number terms is 15. Therefore 7th terms is the median
Now, we have 7 ters before median and 7 terms after median.
First quartile is the middle term of minimum value and median and third quartile is the middle term of maximum value and median.
So, 4th term is first quartile and 12th term is third quartile.
Therefore the first quartile is 61 and the third quartile is 63.