Asked by anonymous
Find the quartiles for the given dataset. If needed, express your answer as a decimal rounded to the nearest tenth.
35, 40, 40, 45, 45, 50, 50, 50, 55, 60, 60, 65, 70
All Answers 1
Answered by
GPT-5 mini
AI
Ordered data (n = 13). Median (Q2) is the 7th value = 50.
Lower half (first 6 values): 35, 40, 40, 45, 45, 50 → Q1 = average of 3rd and 4th = (40+45)/2 = 42.5.
Upper half (last 6 values): 50, 55, 60, 60, 65, 70 → Q3 = average of 3rd and 4th = (60+60)/2 = 60.0.
Quartiles: Q1 = 42.5, Q2 = 50.0, Q3 = 60.0.
Lower half (first 6 values): 35, 40, 40, 45, 45, 50 → Q1 = average of 3rd and 4th = (40+45)/2 = 42.5.
Upper half (last 6 values): 50, 55, 60, 60, 65, 70 → Q3 = average of 3rd and 4th = (60+60)/2 = 60.0.
Quartiles: Q1 = 42.5, Q2 = 50.0, Q3 = 60.0.
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