Question

Jeremy is recording the weights, in ounces, of different rock samples in a lab. The weights of seven rocks are listed below. 11, 13, 14, 6, 10, 9, 10 The eighth rock that he weighed was 5 ounces. How would the interquartile range of the data be affected if Jeremy includes the weight of the eighth rock? A. The interquartile range increases. B. The interquartile range does not change. C. The interquartile range cannot be determined. D. The interquartile range decreases.

Answer 1

Answer:

The interquartile range increases.

Step-by-step explanation:

11, 13, 14, 6, 10, 9, 10

in Ascending order

6   9    10    10     11     13     14

     Q1          Q2           Q3

Q1 = 9

Q2 = 10

Q3 = 13

interquartile rang2 = Q3 - Q1   = 13 - 9  = 4

Adding 5

5     6   9    10    10     11     13     14

Q1 = (6 + 9)/2 = 7.5

Q2 = (10 + 10)/2 = 10

Q3 = (11 + 13)/2 = 12

interquartile rang2 = 12 - 7.5   = 4.5

The interquartile range increases.