Question

The graph shows the number of minutes, to the nearest five minutes, that Sarah spent getting ready for school each morning. A number line going from 5 to 65. 0 dots are above 5. 0 dots are above 10. 0 dots are above 15. 0 dots are above 20. 1 dot is above 25. 2 dots are above 30. 2 dots are above 35. 0 dots are above 40. 3 dots are above 45. 2 dots are above 50. 3 dots are above 55. 0 dots are above 60. 0 dots are above 65. Today, she wakes up late and gets ready for school in 15 minutes. If this new point is added to the graph, which statement is true? The mean will decrease, and the median will stay the same. The median will decrease, and the mean will stay the same. The mean will decrease more than the median, but both will decrease. The median will decrease more than the mean, but both will decrease.

Answer 1

Answer:

• The mean will decrease, and the median will stay the same.

Explanation:

Using asterisks, instead of dots, this is the described plot:

Number of minutes, to the nearest five minutes, that Sarah spent getting ready for school each morning:

                                                               *                *

                                      *       *                *       *       *

                              *       *       *                *       *       *

5    10   15   20    25    30    35    40    45    50    55    60

If the new point, 15 minutes, is added to the graph, the new graph is:

                                                               *                *

                                      *       *                *       *       *

              *              *       *       *                *       *       *

5    10   15   20    25    30    35    40    45    50    55    60

Review what happens with the mean and the median of both sets of data.

The mean will decrease:

It is correct that the mean will decrease because you must include a number with lower value in the formula which pulls the mean downward.

The formula is:

• Mean = Sum of the values / number of values.

• By adding a low value (lower than the previous mean) the calculation of the new mean will result in a lower value

The median will stay the same:

For the first graph there are 13 dots; thus, the median is the value for the seventh dot, which is 45.

For the second graph there are 14 dots; thus, the median is the average of the seventh and the eighth values. Both the seventh and the eighth values are 45, so the average is also 45.

Hence, the mean will decrease and the median will stay the same.

Answer 2

Answer:

A. The mean will decrease, and the median will stay the same.

Step-by-step explanation:

I got it right on edge