Question

ann created a histogram based on this data set from her lab partner:
4.1 4.3 4.3 4.5 4.6 4.6 4.8 5.0 5.5 5.7 5.7 5.8 5.8 6.6
she used the ranges 4.0–4.4, 4.5–4.9, 5.0–5.4, 5.5–5.9, 6.0–6.4, and 6.5–6.9. later, anns lab partner said the two 5.8 measurements were supposed to be 6.2 and 6.5. ann updated her histogram accordingly. for which ranges did she have to change the frequencies? select all that apply.
4.0–4.4 4.5–4.9 5.0–5.4
5.5–5.9 6.0–6.4 6.5–6.9

Explanation:

Step1: Analyze original data in each range

• 4.0 - 4.4: 4.1, 4.3, 4.3 (frequency = 3)
• 4.5 - 4.9: 4.5, 4.6, 4.6, 4.8 (frequency = 4)
• 5.0 - 5.4: 5.0 (frequency = 1)
• 5.5 - 5.9: 5.5, 5.7, 5.7, 5.8, 5.8 (frequency = 5)
• 6.0 - 6.4: None (frequency = 0)
• 6.5 - 6.9: 6.6 (frequency = 1)

Step2: Update data with new values (replace 5.8, 5.8 with 6.2, 6.5)

• New data: 4.1, 4.3, 4.3, 4.5, 4.6, 4.6, 4.8, 5.0, 5.5, 5.7, 5.7, 6.2, 6.5, 6.6
• Re - analyze each range:
• 4.0 - 4.4: Still 4.1, 4.3, 4.3 (frequency = 3, no change)
• 4.5 - 4.9: Still 4.5, 4.6, 4.6, 4.8 (frequency = 4, no change)
• 5.0 - 5.4: Still 5.0 (frequency = 1, no change)
• 5.5 - 5.9: Now 5.5, 5.7, 5.7 (frequency = 3, changed)
• 6.0 - 6.4: Now 6.2 (frequency = 1, changed)
• 6.5 - 6.9: Now 6.5, 6.6 (frequency = 2, changed)

Answer:

5.5 - 5.9, 6.0 - 6.4, 6.5 - 6.9