ms. monroe mixes 200 cubes of 4 different colors for a project. she then uses a scoop to place 20 cubes into…

ms. monroe mixes 200 cubes of 4 different colors for a project. she then uses a scoop to place 20 cubes into each of 10 paper bags. each group records the number of cubes of each color in a bag. the number of red cubes for the 10 groups are recorded in the graph. red cubes per bag which statement is true about the mean and median of the numbers of red cubes in the bags? the mean number of red cubes is less than the median number of red cubes. the mean number of red cubes is more than the median number of red cubes. the mean number of red cubes is equal to the median number of red cubes. the mean number of red cubes cannot be compared to the median number of red cubes. 0 1 2 3 4 5 6 7 8 9 10 number of red cubes in each bag

ms. monroe mixes 200 cubes of 4 different colors for a project. she then uses a scoop to place 20 cubes into each of 10 paper bags. each group records the number of cubes of each color in a bag. the number of red cubes for the 10 groups are recorded in the graph. red cubes per bag which statement is true about the mean and median of the numbers of red cubes in the bags? the mean number of red cubes is less than the median number of red cubes. the mean number of red cubes is more than the median number of red cubes. the mean number of red cubes is equal to the median number of red cubes. the mean number of red cubes cannot be compared to the median number of red cubes. 0 1 2 3 4 5 6 7 8 9 10 number of red cubes in each bag

Answer

Explanation:

Step1: Count data - points

There are 10 data - points representing the number of red cubes in each of the 10 bags. The data set from the dot - plot is: 0, 1, 2, 3, 4, 6, 7, 8, 8, 9.

Step2: Calculate the median

Arrange the data in ascending order: 0, 1, 2, 3, 4, 6, 7, 8, 8, 9. Since (n = 10) (an even number), the median (M=\frac{\text{the }(\frac{n}{2})\text{-th value}+\text{the }(\frac{n}{2}+1)\text{-th value}}{2}=\frac{4 + 6}{2}=5).

Step3: Calculate the mean

The mean (\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}), where (x_{i}) are the data - points and (n = 10). (\sum_{i=1}^{10}x_{i}=0 + 1+2 + 3+4 + 6+7 + 8+8 + 9=48), and (\bar{x}=\frac{48}{10}=4.8).

Step4: Compare mean and median

Since (4.8<5), the mean number of red cubes is less than the median number of red cubes.

Answer:

The mean number of red cubes is less than the median number of red cubes.