Both Mr. Flores and Mrs. Duncan gave the same math test to their classes. The results are in the tables shown.
Mr. Flores
92 87 61 82 98 100 77 64 85 93 92 87 100 93 90
Mrs. Duncan
82 85 91 76 79 82 95 56 95 89 88 64 69 78 88
a. How do the ranges for each class’ test scores compare? Explain your answer.
b. How do the means for each class' test scores compare? Explain your answer.
You might want to give your opinion so the tutors don't get mad at you. Sometimes they don't help until you give your opinion.
Look at the lowest and highest scores for each of the classes. This will give you something to compare when you are comparing the ranges : )
that dont make since child ;-;
To compare the ranges and means for each class' test scores, we need to understand what the range and mean represent in statistics.
The range is the difference between the highest and lowest values in a set of data. It gives us an idea of the spread or variability of the data. A larger range indicates more variation in the scores, while a smaller range suggests less variation.
The mean, also known as the average, is found by summing up all the values in a set and dividing the total by the number of values. It represents the central tendency or average value of the data. The mean gives us an idea of the overall performance or typical score in the class.
Now let's apply this understanding to the given data.
a. To compare the ranges for each class’ test scores, we need to find the highest and lowest scores for each class. Here are the ranges for each class:
Mr. Flores: 100 - 61 = 39
Mrs. Duncan: 95 - 56 = 39
Both classes have the same range of 39. This means that the spread or variability of the test scores is the same in both classes.
b. To compare the means for each class’ test scores, we need to calculate the average score for each class. Here are the means for each class:
Mr. Flores: (92 + 87 + 61 + 82 + 98 + 100 + 77 + 64 + 85 + 93 + 92 + 87 + 100 + 93 + 90) / 15 = 86.6
Mrs. Duncan: (82 + 85 + 91 + 76 + 79 + 82 + 95 + 56 + 95 + 89 + 88 + 64 + 69 + 78 + 88) / 15 = 81.8
The mean test score for Mr. Flores' class is 86.6, while the mean test score for Mrs. Duncan's class is 81.8. Therefore, Mr. Flores' class has a higher mean than Mrs. Duncan's class, indicating that, on average, Mr. Flores' class performed better on the math test compared to Mrs. Duncan's class.
"that dont make since child ;-;" ?
Mean = ∑x/n
Do your own calculations.