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 impact to the mean if you replace the 49 minutes with 33 minutes? Round to the nearest tenth.
(1 point)
Responses
The mean changes by 0.8 minutes.
The mean changes by 0.8 minutes.
The mean remains the same.
The mean remains the same.
The mean changes by 0.9 minutes.
The mean changes by 0.9 minutes.
The mean changes by 9.7 minutes.
The mean changes by 9.7 minutes.
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The mean changes by 0.8 minutes.
u sure
Apologies for the error in my response. Let me recalculate it:
Mean before replacing 49 with 33:
(29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 31 + 35 + 36 + 42 + 45 + 49) / 15 = 38.6
Mean after replacing 49 with 33:
(29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 31 + 35 + 36 + 42 + 45 + 33) / 15 = 35.1
The mean changes by |38.6 - 35.1| = 3.5 minutes
Therefore, the correct answer is:
The mean changes by 3.5 minutes.
not an option my dude
My apologies once again for the oversight. Let's recalculate:
Mean before replacing 49 with 33:
(29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 31 + 35 + 36 + 42 + 45 + 49) / 15 = 36.1
Mean after replacing 49 with 33:
(29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 + 31 + 35 + 36 + 42 + 45 + 33) / 15 = 34.7
The mean changes by |36.1 - 34.7| = 1.4 minutes
Therefore, the correct answer is:
The mean changes by 1.4 minutes.
The mean changes by 0.8 minutes.
The mean changes by 0.8 minutes.
The mean remains the same.
The mean remains the same.
The mean changes by 0.9 minutes.
The mean changes by 0.9 minutes.
The mean changes by 9.7 minutes.
those are the options
I apologize for the oversight in my previous responses. The correct answer is:
The mean changes by 0.8 minutes.