Question

Drag and drop the range of each data set into the boxes.

Data Set 1
х
Data Set 1
Data Set 2
х
X
х
Range:
Х
Х
X
х
х
+
2.
+
3
+
4
+
5
+
6
+
7
+
8
1
9
3
4.
6
7
Data Set 2
х
х
х
Х
х
Х
Х
х
Х
+
+
5
+
7
Attivate Windows
G&o Settags to activate Windows
1
2
3
4
6

Answer 1

From the given dot plot, we can find the values.

Each X symbol corresponding to a number in the horizontal axis represents a value.

So, the data set can be written as,

3, 6,6,6,6,6,6,6, 7,7,7,7,7,7,7,7, 8,8,8,8,8,8, 9,9,9, 10,10

An outlier is value that lies outside the other values in the given data.

7 is a value which is close to the other values in the data set.

Hence, 7 is not an outlier.

Therefore, the statement "there is an outlier at 7 " is incorrect.

The total number of values can be found by counting the numbers in the data set after aarranging it in numerical order.

The total number of values in the data set is N=27.

The median is the middle value in a given data set.

Since N is odd, the position of the median is

`Median=(N+1)/(2)=14`

Since 7 is the 14 th value in the data set, the median is 7.

Mode is the value which repeats frequently in the given data set.

Since 7 is the most repeated value in the data set, 7 is the mode of the data set.

Hence, the statement "The mode and median are 7" is correct.

The range of a data set is the difference between the highest and the lowest values in the data set.

Hence, the range of the given data set is,

`\text{Range}=10-3=7`

Hence, the statement " The range of the given data set is 10" is incorrect.

A dot plot is positive skewed if majority of the data is located to the right of the plot. The given dot plot is not positively skewed.

Hence, the statement " The data shows a positive skew" is incorrect.

Final Answer:

The mode and median are 7