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. A number line going from 0 to 10. 2 dots are above 0. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 1 dot is above 4. 0 dots are above 5. 1 dot is above 6. 2 dots are above 7. 1 dot is above 8. 0 dots are above 9. 0 dots are above 10. 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 1

Answer:

The mean no. of red cubes is more than the median no. of red cubes.

Step-by-step explanation:

According to the question, we can prepare the following table denoting the no. of bags containing any number of red cube(s). The no. of red cubes in each bag can theoretically be any no. between 0 and 20 (both end inclusive) as in total each bag contains 20 cubes of different colors.There are as a whole 10 bags (given).

No. of red cubes           No. of bags           $(x_{i}f_{i})$

 $(x_{i})$                                        $(f_{i})$

    0                                     2                             0

     1                                     0                             0

     2                                    2                             4

     3                                     1                             3

     4                                     1                             4

     5                                     0                            0

     6                                     1                              6

     7                                      2                           14

      8                                     1                             8

      9                                     0                            0

    10                                      0                            0

 Total                                 10                            39

Now, no. of bags containing no. of red cubes  above 10   is  0   [since there are as a whole 10 bags only]

       

So, from  the table we  get that  mean no, of red cubes in each bag

  = $\frac {\sum_{i =1}^{10}x_{i}f_{i}}{\sum_{i=1}^{10}f_{i}}$

  =  39/10 = 3.9

Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3

= (2 + 2 + 1) = 5

and, no. of bags with no. of red cubes  ≥ 4

= (1 + 1 + 2 + 1) = 5

Also there are 1 bag each for no. of red cubes = 3 and 4

So. median no. of red cubes = (3 + 4)/2 = 3.5

So, we get that the mean no. of red cubes is more than the median no. of red cubes.

Answer 2

Answer: B on edge 2020

Step-by-step explanation:  i had a brand new papadia for just 6 BUCKS this morning, did you know that is Latin for "better than a sandwich"