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. 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.

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. 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.

Answer

Answer:

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

Explanation:

Step1: Count data - points

There are 10 data - points (number of red cubes in 10 bags).

Step2: Arrange data in ascending order

Let the data points be (x_1,x_2,\cdots,x_{10}). After arranging (from the dot - plot), assume the data is (0,0,1,2,3,4,5,6,7,9).

Step3: Calculate the median

Since (n = 10) (even), median (M=\frac{x_{5}+x_{6}}{2}=\frac{3 + 4}{2}=3.5).

Step4: Calculate the mean

Mean (\bar{x}=\frac{\sum_{i = 1}^{10}x_i}{10}=\frac{0+0 + 1+2+3+4+5+6+7+9}{10}=\frac{37}{10}=3.7).

Step5: Compare mean and median

Since (3.7>3.5), the mean number of red cubes is more than the median number of red cubes.