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.

Question
Answer:
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           [tex](x_{i}f_{i})[/tex]  [tex](x_{i})[/tex]                                        [tex](f_{i})[/tex]     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                            39Now, 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   = [tex]\frac {\sum_{i =1}^{10}x_{i}f_{i}}{\sum_{i=1}^{10}f_{i}}[/tex]   =  39/10 = 3.9Also, from the table, we get that, no. of bags with no. of red cubes ≤ 3= (2 + 2 + 1) = 5and, no. of bags with no. of red cubes  ≥ 4 = (1 + 1 + 2 + 1) = 5Also there are 1 bag each for no. of red cubes = 3 and 4So. median no. of red cubes = (3 + 4)/2 = 3.5So, we get that the mean no. of red cubes is more than the median no. of red cubes.
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general 11 months ago 8168