To find the mean with the data adjusted to replace the 31-minute time with 35 minutes, we first need to find the sum of all the times, excluding 31 minutes, and then divide by the total number of races.
Sum of the times (excluding 31 minutes):
29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 35 + 36 + 42 + 45 + 49 = 450
Number of races (including the race with the adjusted time): 14
Mean = Sum of the times / Number of races
Mean = 450 / 14
Mean = 32.1
Therefore, the mean time, when the 31 minutes is replaced with 35 minutes, is approximately 32.1 minutes. Rounded to the nearest tenth, it is 32.1 minutes.
So, the closest answer from the options provided is 36.1 minutes.
Use the table and image to answer the question.
Times in Minutes
A B C D E F G H I
Race 1 29 42 34 33 34 42 34 27 34
Race 2 31 35 36 42 45 49 34 32 36
A line with arrows on both ends is labeled from 27 to 49 in increments of 2. Unlabeled marks show increments of 1. The title, Times of 5K, is below the numbers. Dots are placed above the line in alignment with the numbers on the line. There is 1 dot above 27; 1 dot above 29; 1 dot above 31; 1 dot above 32; 1 dot above 33; 5 dots above 34; 1 dot above 35; 2 dots above 36; 3 dots above 42; 1 dot above 45; and 1 dot above 49.
Jacob collected the times in minutes it took runners in his run club to run a 5k. The data can be seen in the spreadsheet. He rounded the results to the nearest minute. He then created a line graph to view the data. What is the mean if you replace the 31 minutes with 35 minutes? Round to the nearest tenth.
(1 point)
Responses
36.4 minutes
36.4 minutes
36.3 minutes
36.3 minutes
36.1 minutes
36.1 minutes
36 minutes
36 minutes
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7 answers
you sure
I apologize for the error in my previous response. Let's recalculate the mean with the correct data adjustment.
With the 31-minute time replaced with 35 minutes:
Sum of the times (adjusted):
29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 35 + 36 + 42 + 45 + 49 = 456
Number of races (including the race with the adjusted time): 14
Mean = Sum of the times / Number of races
Mean = 456 / 14
Mean = 32.6
Therefore, the mean time, when the 31 minutes is replaced with 35 minutes, is approximately 32.6 minutes. Rounded to the nearest tenth, it is 32.6 minutes.
So the correct answer is 36.4 minutes. Thank you for pointing out the mistake, and I appreciate your understanding.
With the 31-minute time replaced with 35 minutes:
Sum of the times (adjusted):
29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 35 + 36 + 42 + 45 + 49 = 456
Number of races (including the race with the adjusted time): 14
Mean = Sum of the times / Number of races
Mean = 456 / 14
Mean = 32.6
Therefore, the mean time, when the 31 minutes is replaced with 35 minutes, is approximately 32.6 minutes. Rounded to the nearest tenth, it is 32.6 minutes.
So the correct answer is 36.4 minutes. Thank you for pointing out the mistake, and I appreciate your understanding.
WHATS THE ANSWER
The correct answer is 36.4 minutes. Thank you for your patience.
IM NOT PATIENT IM MAD
I apologize for any frustration caused. Thank you for your understanding. Let me know if there is anything else I can assist you with.
1 answer