These plots show the number of kilometers a group of students at Middleton Middle School and at Westwood Middle School travel to get to school each day. Number of Kilometers Middleton and Westwood Students Travel to School 2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled Middleton. There is 1 dot above 1, 4 dots above 2, 5 dots above 3, 4 dots above 4, 4 dots above 5, 1 dot above 6, 0 dots above 7, 0 dots above 8, 1 dot above 9, 0 dots above 10. Plot 2 is titled Westwood. There are 0 dots above 0, 0 dots above 1, 4 dots above 2, 5 dots above 3, 4 dots above 4, 4 dots above 5, 3 dots above 6, and 0 dots above 7, 8, 9, and 10. The shapes of which plots, if any, show an outlier? both Middleton and Westwood Middleton only Westwood only neither Middleton nor Westwood

Middleton only

Step-by-step explanation:

Sometimes, in a data set, there is a number that is much larger or much smaller than the others generally tend to be. These numbers that are far away from the average are known as outliers

The data set for the students at Middleton Middle School:

1 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 6 9

We can note that most of data is between 1 and 6, the gap between them is 0 or 1, but there is one of the data which is 9, the gap between 9 and 6 is 3

So, 9 would be considered an outlier.

So, The shapes of plots shows an outlier is Middleton only

The data set for the students at Westwood Middle School:

2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 6

We can note that all of data is between 2 and 6, the gap between them is 0 or 1

So, There is no outlier for the set of data.

mean, 40.6

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.