The director of a local Parks and Recreation department is interested in the number of hours kids spend outside each week. She surveys a group of 19 kids in her town and asks them how many hours they spent outside last week. Her results follow.
{0,10,15,4,70,15,18,20,6,8,10,12,15,18,20,2,35,40,10}
The director decides to remove the data value “70” since it is a lot larger than the rest of the data values. Calculate the mean of the original dataset and the mean of the new dataset after “70” is removed. Round your answers to one decimal place.(1 point)
The mean of the original dataset is . The mean of the new dataset after “70” is removed is .
To calculate the mean of the original dataset, we first need to add up all the numbers and then divide by the total number of data values (19).
Original dataset:
0+10+15+4+70+15+18+20+6+8+10+12+15+18+20+2+35+40+10 = 280
Mean of the original dataset = 280 / 19 = 14.7 (rounded to one decimal place)
Now, let's calculate the mean of the new dataset after removing the value "70".
New dataset:
0+10+15+4+15+18+20+6+8+10+12+15+18+20+2+35+40+10 = 230
Mean of the new dataset after "70" is removed = 230 / 18 = 12.8 (rounded to one decimal place)
Therefore, the mean of the original dataset is 14.7 and the mean of the new dataset after "70" is removed is 12.8.