Question

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 bagnumber of red cubes in each bagwhich 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.

Explanation:

Step1: List all red cube counts

From the dot plot, the values are: 1, 1, 3, 4, 4, 4, 6, 7, 7, 7

Step2: Calculate the median

There are 10 values. Median is average of 5th and 6th values:
$\text{Median} = \frac{4 + 4}{2} = 4$

Step3: Calculate the mean

Sum the values and divide by 10:
$\text{Mean} = \frac{1+1+3+4+4+4+6+7+7+7}{10} = \frac{44}{10} = 4.4$

Step4: Compare mean and median

$4.4 > 4$, so mean > median.

Answer:

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