86 88
80 71
62 75
66 68
(degrees)
which sentence best describes the data?
a- the temperatures vary by 26degrees
b-the interquartile range is 15degrees
c-the median temperature os 71degrees
d-the lowest temperature is 66degrees
i marked out c and d but i cant decide on a or b please help!
order them
63,66,68,71,75,80,86,88
the median is 73, the first quartile is at 67, the third quartile is 83
What is the interquartile range?
16 so its a...its a becuase from the highest temperature to the lowest its 26degrees between them
To determine the best sentence that describes the data, let's go through the options and analyze the given numbers:
Option a: "The temperatures vary by 26 degrees."
To check if this option is correct, we can find the range of the temperatures. The range is calculated by subtracting the lowest value from the highest value: 88 - 62 = 26 degrees. So, option a is correct.
Option b: "The interquartile range is 15 degrees."
To determine the interquartile range, we need to find the median of the data first. Let's order the temperatures in ascending order: 62, 66, 71, 75, 80, 86, 88. The median is the middle value, which in this case is 75.
Next, we find the lower quartile (Q1), which is the median of the lower half of the data. The lower half is: 62, 66, 71. The median of this subset is 66.
Then, we find the upper quartile (Q3), which is the median of the upper half of the data. The upper half is: 75, 80, 86, 88. The median of this subset is 83.
Finally, we calculate the interquartile range by subtracting Q1 from Q3: 83 - 66 = 17 degrees. Therefore, option b is not correct.
In conclusion, option a is the best sentence that describes the data since the temperatures vary by 26 degrees.