Question

Examine the following two data displays. Data Set A: a dot plot with dots at the following values: 1, 2, 4, 5, 5, 6, 6, 6, 8, 8, 9, 12.© 2018 StrongMind. Created using GeoGebra. Data Set B: a box plot with a five-number summary of 1, 3.5, 5, 7, and 12.© 2018 StrongMind. Created using GeoGebra. Which statements about the data sets are true? Select all that apply.Data Set A is skewed.Data Set A is skewed. , ,Data Set B is symmetrical.Data Set B is symmetrical. , ,Data Set B is skewed.Data Set B is skewed. , ,Data Set A is symmetrical.Data Set A is symmetrical. , ,Data Set A has a greater median than Data Set B.Data Set B has a greater median than Data Set A.

Answer 1

Kindly check below

1) In this problem, we need to examine both dot and box plot and whiskers.

2) Note that dataset A has the majority of its datapoints do the left, as well as the data set B. So none of them have their data symmetrically distributed.

3) Let's enlist the datapoints from A:

`\begin{gathered} 1,2,4,5,5,6,6,6,8,8,9,12 \\ \\ Md=(6+6)/(2)=6 \end{gathered}`

Note that there is an even number of datapoints, we can divide the 6th and 7th data point, by 2 (average).

The median of dataset B marked by the vertical bar on the middle of the box, so the median of data set B is 5.

4) Thus, the answer is: