Question

The intramural competition between two schools had events for 7th and 8th grade students. In the 660-yard run, the times (in minutes) were as follows: 1:53, 1:55, 1:36, 1:46, 2:02, 2:15, 1:49, 2:05, 2:20, 1:42, 1:55. Find the mean time.

a) 1:54
b) 1:52
c) 1:55
d) 1:53

Answer 1

To find the mean time for the 660-yard run, times are converted to seconds, added together, divided by the number of times, and then converted back to minutes and seconds. The mean time is determined to be 1 minute and 55 seconds.

Step-by-step explanation:

To find the mean time for the 660-yard run, we need to add up all the times and then divide by the number of times recorded. First, we need to convert the minutes and seconds into total seconds to make addition easier, then we'll convert the mean time back into minutes and seconds. Here's how we can calculate it step-by-step:

1. Convert all times to seconds: 1:53 (113s), 1:55 (115s), 1:36 (96s), 1:46 (106s), 2:02 (122s), 2:15 (135s), 1:49 (109s), 2:05 (125s), 2:20 (140s), 1:42 (102s), 1:55 (115s).
2. Add all the seconds together: 113 + 115 + 96 + 106 + 122 + 135 + 109 + 125 + 140 + 102 + 115 = 1268 seconds.
3. Divide the total by the number of runs: 1268s / 11 = ~115.27s.
4. Convert the mean time back to minutes and seconds: 115s is 1 minute and 55 seconds (since 60 seconds make a minute and 55 is the remainder).

Therefore, the mean time for the 660-yard run is 1 minute and 55 seconds, which corresponds to option c) 1:55.