Question

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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 , ( 59,60,61,62) and the third quartile would be drawn at . (61,62,63,64)

Answer 1

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

61 , and the third quartile would be drawn at 63 .

Explanation:

Answer was correct on plato

Answer 2

The first quartile is 61 and the third quartile is 63.

Explanation:

From the given dot plot is noticed that

Temperature frequency

59 0

60 2

61 3

62 3

63 4

64 2

65 1

Total 15

It means the data is in the form of

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

The median of data is middle term. The total number terms is 15. Therefore 7th terms is the median

(60,60,61,61,61,62,62),62,(63,63,63,63,64,64,65)

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.

(60,60,61),61,(61,62,62),62,(63,63,63),63,(64,64,65)

Therefore the first quartile is 61 and the third quartile is 63.