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 bag 0 1 2 3 4 5 6 7 8 9 10 number of red cubes in each 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.

Explanation:

Step1: Identificar los datos

Tenemos 10 datos representados en el gráfico de puntos: 0, 1, 1, 2, 3, 4, 6, 7, 8, 9.

Step2: Calcular la mediana

Los datos están ordenados. Como hay 10 datos (un número par), la mediana es el promedio de los 5º y 6º valores. $\text{Mediana}=\frac{3 + 4}{2}=3.5$.

Step3: Calcular la media

$\text{Media}=\frac{0+1+1+2+3+4+6+7+8+9}{10}=\frac{41}{10} = 4.1$.

Step4: Comparar media y mediana

Como $4.1>3.5$, la media es mayor que la mediana.

Answer:

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