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
.
Dot plot graph on average daily temperature is shown. Number line represents temperature in degree Fahrenheit ranging from 59 to 65. 2 dot plots on 60, 3 dot plots on 61 and 62, 4 dot plots on 63, 2 dot plots on 64 and 1 dot plot on 65.
To convert the dot plot to a box plot, we need to determine the first quartile (Q1) and the third quartile (Q3).
In the dot plot, the first quartile would be the temperature at which the first 25% of the data lies. Looking at the dot plot, we can see that 25% of the data falls at or below the temperature of 61 degrees Fahrenheit. Therefore, Q1 = 61.
Similarly, the third quartile would be the temperature at which the first 75% of the data lies. Looking at the dot plot, we can see that 75% of the data falls at or below the temperature of 63 degrees Fahrenheit. Therefore, Q3 = 63.
So, the first quartile would be drawn at 61 degrees Fahrenheit, and the third quartile would be drawn at 63 degrees Fahrenheit in the box plot.