Question

mr. jensens science class recorded the high temperature each day for two weeks. 56 56 58 58 60 62 62 58 56 56 55 54 55 53 temperature (°f) which box plot represents the data? temperature (°f) 52 54 56 58 60 62 temperature (°f) 52 54 56 58 60 62

Explanation:

Step1: Arrange data in ascending order

53, 54, 55, 55, 56, 56, 56, 56, 58, 58, 58, 60, 62, 62

Step2: Find the minimum value

The minimum value is 53.

Step3: Find the first - quartile (Q1)

There are 14 data points. The position of Q1 is $\frac{14 + 1}{4}=3.75$. So, Q1 is between the 3rd and 4th ordered data points. Q1 = 55.

Step4: Find the median (Q2)

The position of the median is $\frac{14}{2}=7$. The median is the average of the 7th and 8th ordered data points. Median = 56.

Step5: Find the third - quartile (Q3)

The position of Q3 is $3\times\frac{14 + 1}{4}=11.25$. So, Q3 is between the 11th and 12th ordered data points. Q3 = 58.

Step6: Find the maximum value

The maximum value is 62.

Answer:

The box - plot with minimum value 53, Q1 = 55, median = 56, Q3 = 58 and maximum value 62 represents the data. (Since no specific options are given in a proper way to choose from, this is a description of the correct box - plot characteristics).