Question

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 .

Answer 1

Q1 is 61 and Q3=63

Answer 2

Q1 = 61

Q3 = 63

Explanation:

From the plot attached :

Data obtained is :

Temperature frequency

59 0

60 2

61 3

62 3

63 4

64 2

65 1

Frequency Total 15

Data in raw format :

60,60,61,61,61,62,62,62,63,63,63,63,64,64,65

The first quartile :

Q1 = 1/4(n+1)th term

n = 15

Q1 = 1/4(15+1)th term

Q1 = 1/4 * 16th

Q1 = 4th term

Q1 = 61

Third quartile (Q3):

Q3 = 3/4(n+1)th term

n = 15

Q3 = 3/4(15+1)th term

Q3 = 3/4 * 16th

Q3 = (48/4)th term

Q3 = 12th term

Q3 = 63