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 dataWhat is the impact to the mean if you replace the 40 minutes with 33 minutes? Round to the nearest tenth point) The mean changes by 0.8 minutes The mean changes by 0.9 minutes The mean changes by 9,7 minutes The mean remains the same

1 answer

The mean changes by 0.9 minutes

To calculate the mean with the new data point (33 minutes):
(35+41+44+39+38+33)/6 = 230/6 = 38.3 minutes

The original mean was (35+41+44+39+38+40)/6 = 237/6 = 39.5 minutes

The difference between the original mean and the new mean is 39.5 - 38.3 = 1.2 minutes, which rounds to 0.9 minutes when rounded to the nearest tenth point.