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. red cubes per bag 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. 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. red cubes per bag number of red cubes in each bag

Answer

Explanation:

Step1: List the data points from the dot plot.

The dot plot shows the number of red cubes in 10 bags. The data points are: $0, 0, 2, 2, 3, 4, 6, 7, 7, 8$

Step2: Calculate the mean of the data.

The mean is the sum of the data points divided by the number of data points (n=10). $$ \text{Mean} = \frac{0 + 0 + 2 + 2 + 3 + 4 + 6 + 7 + 7 + 8}{10} $$ $$ \text{Mean} = \frac{39}{10} $$ $$ \text{Mean} = 3.9 $$

Step3: Calculate the median of the data.

First, arrange the data points in ascending order (already done): $0, 0, 2, 2, 3, 4, 6, 7, 7, 8$. Since there are 10 data points (an even number), the median is the average of the two middle values (the 5th and 6th values). The 5th value is 3 and the 6th value is 4. $$ \text{Median} = \frac{3 + 4}{2} $$ $$ \text{Median} = \frac{7}{2} $$ $$ \text{Median} = 3.5 $$

Step4: Compare the mean and the median.

Compare the calculated mean and median. Mean = 3.9 Median = 3.5 Since $3.9 > 3.5$, the mean is greater than the median.

Answer:

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