Question

(08.05)What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. A.The number of observations is 5. B.The median of the data set is 5. C.The mean of the data set is 8. D.The range of the data set is 8.

Answer 1

C. The mean of the data set is 8.

Answer 2

Answer:

The conclusion that can be drawn from the dot plot is: Option: C

C.  The mean of the data set is 8.

Step-by-step explanation:

From the dot plot we can make a frequency table as follows:

Number of books read                       Frequency

        6                                                       2  

        7                                                       2

        8                                                       2

        9                                                       2

        10                                                      2

• Since, the number of dots are  10 or then sum of the frequencies is 10.

            Hence, the number of observations are 10.

• Also, the median of the set is: 8

• Now, the mean is calculated as:

$Mean=\dfrac{6+6+7+7+8+8+9+9+10+10}{10}\\\\\\Mean=\dfrac{80}{10}\\\\Mean=8$

                   Hence, Mean of the data set is: 8

• Now, the range of the data set is the difference between the minimum and the maximum value.

                   Hence, range=10-6=4

            The range of the data set is 4.