Question

Question 10A group of students measures the distance a toy car las traveled after different amohnts of time. a table is shown.Time (seconds)=5,6,7,8,9,10,11,12,13,14,15Distance (imeters) =1.0,1.2,2.4,3.3,3.7,11.0,4.2,3.7,4.8,4.5,4.9The students want to perfonn an analisis of the data set and consider reclozing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set. 1. mean of time2. mean of distance 3.median of time4. median of distance 5.range of time6. range of distance

Answer 1

Given The data :

Time (seconds) = 5,6,7,8,9,10,11,12,13,14,15

Distance (meters) = 1.0 , 1.2 , 2.4 , 3.3, 3.7, 11.0, 4.2 , 3.7, 4.8 , 4.5 , 4.9

The number of data = 11

As shown : the outlier is the point of :

time = 10 , distance = 11

the quantities that will change if the outlier point is removed from the data set.

1. mean of time Because : ( the sum will change )

2. mean of distance Because : ( the sum will change )

3.median of time

4. median of distance

6. range of distance

So, 5 quantities will change

At first the calculation with out removing the outlier:

1. mean of time

`(5+6+7+8+9+10+11+12+13+14+15)/(11)=10`

2. Mean of distance :

`(1+1.2+2.4+3.3+3.7+11+4.2+3.7+4.8+4.5+4.9)/(11)=`