Question

question 3 (1 point)(05.01 mc)the following data shows the temperature of a city, in degrees celsius, on consecutive days of a month:8.5, 8.3, 8.2, 8.9, 8.4, 8.2, 8.7, 8.5, 8.3, 8.5, 8.4which box plot best represents the data?abcd

Explanation:

Step1: Sort the data set

Sorted data: $8.2, 8.2, 8.3, 8.3, 8.4, 8.4, 8.5, 8.5, 8.5, 8.7, 8.9$

Step2: Find minimum and maximum

Minimum = $8.2$, Maximum = $8.9$

Step3: Calculate median (Q2)

Median is the 6th value: $8.4$

Step4: Calculate Q1 (lower median)

Lower half: $8.2, 8.2, 8.3, 8.3, 8.4$; Q1 = $8.3$

Step5: Calculate Q3 (upper median)

Upper half: $8.5, 8.5, 8.5, 8.7, 8.9$; Q3 = $8.5$

Step6: Match to box plot

Box plot has min=8.2, Q1=8.3, Q2=8.4, Q3=8.5, max=8.9

Answer:

b. The box plot with minimum at 8.2, Q1 at 8.3, median at 8.4, Q3 at 8.5, and maximum at 8.9