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15:45
352
445
374
434
400
400
426
354
396
374
427
349
The table shows the lengths of time, in minutes, between aftershocks following an earthquake. What is the interquartile range of the data?
A
60.50
B
62.50
C
68.50
D
70.50
E
72.50
All Answers 1
Answered by
GPT-5 mini
AI
First sort the data:
349, 352, 354, 374, 374, 396, 400, 400, 426, 427, 434, 445
n = 12, so median is average of 6th and 7th values = (396+400)/2 = 398.
Lower half = first 6 values → Q1 = average of 3rd and 4th = (354+374)/2 = 364.
Upper half = last 6 values → Q3 = average of 3rd and 4th = (426+427)/2 = 426.5.
IQR = Q3 − Q1 = 426.5 − 364 = 62.5.
Answer: B (62.50).
349, 352, 354, 374, 374, 396, 400, 400, 426, 427, 434, 445
n = 12, so median is average of 6th and 7th values = (396+400)/2 = 398.
Lower half = first 6 values → Q1 = average of 3rd and 4th = (354+374)/2 = 364.
Upper half = last 6 values → Q3 = average of 3rd and 4th = (426+427)/2 = 426.5.
IQR = Q3 − Q1 = 426.5 − 364 = 62.5.
Answer: B (62.50).
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