To find the mean with the 31 minutes replaced by 35 minutes, we first need to calculate the new total time and then divide by the number of races.
For Race 1:
29 + 42 + 34 + 33 + 34 + 42 + 34 + 27 + 34 = 309 (total time for Race 1)
For Race 2:
35 + 35 + 36 + 42 + 45 + 49 + 34 + 32 + 36 = 324 (total time for Race 2)
Replacing 31 with 35 in Race 2:
35 + 35 + 36 + 42 + 45 + 49 + 34 + 32 + 36 = 324 - 31 + 35 = 328
Now we find the new mean:
(309 + 328) / 18 = 637 / 18 = 35.4 minutes
Therefore, the mean time if you replace the 31 minutes with 35 minutes is 35.4 minutes.
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
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
36.3 minutes
36.3 minutes
36.1 minutes
36.1 minutes
36.4 minutes
36.4 minutes
36 minutes
36 minutes
1 answer