mr. jensens science class recorded the high temperature each day for two weeks. temperature (°f) 56 56 58 58…
mr. jensens science class recorded the high temperature each day for two weeks. temperature (°f) 56 56 58 58 60 62 62 58 56 56 55 54 55 53 which box plot represents the data? temperature (°f) temperature (°f)
Answer
Explanation:
Step1: Arrange data in ascending order
53, 54, 55, 55, 56, 56, 56, 56, 58, 58, 58, 60, 62, 62
Step2: Find the median (Q2)
There are 14 data - points. The median is the average of the 7th and 8th ordered values. $\frac{56 + 56}{2}=56$.
Step3: Find the lower half of data
The lower half is 53, 54, 55, 55, 56, 56, 56. The median of the lower half (Q1) is 55.
Step4: Find the upper half of data
The upper half is 58, 58, 58, 60, 62, 62. The median of the upper half (Q3) is 58.
Step5: Find the minimum and maximum
The minimum value is 53 and the maximum value is 62.
The box - plot should have a minimum at 53, Q1 at 55, Q2 at 56, Q3 at 58, and a maximum at 62.
Answer:
The box - plot with the minimum at 53, the left - hand side of the box at 55, the line inside the box at 56, the right - hand side of the box at 58, and the maximum at 62. (Since no specific option identifiers are given, a description of the correct box - plot is provided).