Question

The data show the ages of 13 people attending a dinner party. 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63 a. Find the minimum, first quartile, median, third quartile, and maximum of the data set. Explain your answer.

Answer 1

Answer: Median: 50, Minimum Value: 37, Maxium Value: 63, First Quartile: 44, Third Quartile: 57  

Step-by-step explanation:

To find the median we have to line up the number from least to greatest. Since the number is even we have two numbers.

(37, 42, 44, 46, 47, )(49, 51,)(54, 55, 57, 61, 63)

            |                          |                        |

  1st  Quartile        2nd Quartile     3rd Quratile

49 + 51 = 100 ÷ 2 = 50

Median = 50

The minimum value is the least number, therefore 37

The maxium number is the greatest number, therefore 63

The first quartile is the middle number in the first quartile, therefore 44

The third quartile is the middle number in the third quartile, therefore 57

I hope this helps!