The box-and-whisker plot shows the average temperatures in Orlando, Florida in January.
Numbers for the box&whisker: 51,54,57,60,63,66,69,72,75,78,81,84
You can do a box&whisker here:
alcula box plot
Which statement about the temperatures in Orlando must be true?
A. About half of the days in January had average temperatures above 75 degrees.
B. About 50% of the days in January had average temperatures between 66 and 75 degrees.
C. The coldest day in January was 66 degrees.
D. The hottest day in December was 75 degrees
Please use a screenname that doesn't reflect violence. You should return to your most recent screennames, specifically Fiddle Sticks or SendMeNoodles.
https://www.jiskha.com/questions/1820498/the-box-and-whisker-plot-shows-the-average-temperatures-in-orlando-florida-in-january
To determine the correct statement about the temperatures in Orlando, we need to analyze the box-and-whisker plot. Here's how to interpret it:
1. Locate the median: The middle value of the data set is the median. In this case, the median is the value between the 6th and 7th temperatures, which is 66 degrees.
2. Identify the lower quartile (Q1) and upper quartile (Q3): The lower quartile (Q1) is the median of the lower half of the data set, and the upper quartile (Q3) is the median of the upper half of the data set. In this case, Q1 is the median of the data set below the median (54 + 57) / 2 = 55.5 degrees, and Q3 is the median of the data set above the median (69 + 72) / 2 = 70.5 degrees.
3. Calculate the interquartile range (IQR): The interquartile range is the difference between Q3 and Q1. In this case, IQR = Q3 - Q1 = 70.5 - 55.5 = 15 degrees.
4. Identify the whiskers: The whiskers represent the range of the data excluding outliers. In a box-and-whisker plot, the whiskers typically extend to the minimum and maximum values within 1.5 times the IQR. However, if there are no outliers, the whiskers can extend to the minimum and maximum values of the data set. In this case, the whiskers extend to 51 and 84 degrees, which are the minimum and maximum values of the data set.
Now, let's evaluate each statement:
A. About half of the days in January had average temperatures above 75 degrees.
To determine if this statement is true, we need to assess if 75 degrees falls within the upper half of the data set. Since 75 degrees is above the maximum value of the data set (84 degrees), this statement is false.
B. About 50% of the days in January had average temperatures between 66 and 75 degrees.
To assess this statement, we need to determine if the range between 66 and 75 degrees falls within the IQR. Since 66 degrees is within the interquartile range (55.5 - 70.5 degrees), and 75 degrees is above the upper whisker, this statement is true.
C. The coldest day in January was 66 degrees.
This statement is false because although 66 degrees is the median, it does not represent the coldest day. The coldest day could be any temperature below 66 degrees.
D. The hottest day in December was 75 degrees.
This statement refers to December, not January, so it is irrelevant to the given data.
Therefore, the correct statement is:
B. About 50% of the days in January had average temperatures between 66 and 75 degrees.
surely not A. Only 3 of the days were over 75
so take a look at the other statements, and it should be clear which is true.
looks good to me
Thank you so much!!!
Actually, "SendMeNoodles" is an inappropriate name also.
Please use names that are appropriate for an educational website. I have corrected your recent usage of inappropriate names. Thank you.