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Rolinda’s first five Spanish test scores are 85, 85, 60, 62, and 59.
a. Find the mean, the median, and the mode of Rolinda’s Spanish test scores. Round your answers to the nearest tenth, if necessary.
b. Which of these measures best supports Rolinda’s claim that she is doing well in her Spanish class?
c. Why is Rolinda’s claim misleading?
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Rolinda’s first five Spanish test scores are 85, 85, 60, 62, and 59.
a. Find the mean, the median, and the mode of Rolinda’s Spanish test scores. Round your answers to the nearest tenth, if necessary.
b. Which of these measures best supports Rolinda’s claim that she is doing well in her Spanish class?
c. Why is Rolinda’s claim misleading?
a. Mean = (85 + 85 + 60 + 62 + 59)/5 = 70.2
To find the median, we need to arrange the numbers in order: 59, 60, 62, 85, 85. Since there are an odd number of scores, the median is the middle score, which is 62.
The mode is the score that appears most frequently. In this case, both 85 and 60 appear twice, while 62 and 59 each appear once. Therefore, there is no unique mode.
b. The mean would best support Rolinda's claim that she is doing well in her Spanish class, as it takes into account all of her scores and is not affected by outliers or extreme values.
c. Rolinda's claim may be misleading because while her mean score is relatively high, her median score is only 62, which suggests that there may be some lower scores bringing down the average. Additionally, the fact that there is no unique mode suggests that her scores are not consistently high or low.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Rolinda’s first five Spanish test scores are 85, 85, 60, 62, and 59.
a. Find the mean, the median, and the mode of Rolinda’s Spanish test scores. Round your answers to the nearest tenth, if necessary.
b. Which of these measures best supports Rolinda’s claim that she is doing well in her Spanish class?
c. Why is Rolinda’s claim misleading?
a. Mean = (85 + 85 + 60 + 62 + 59)/5 = 70.2
To find the median, we need to arrange the scores in order: 59, 60, 62, 85, 85. Since there are five scores, the median is the third score, which is 62.
The mode is the score that appears most frequently. In this case, both 85 and 60 appear twice, while 62 and 59 each appear once. Therefore, there is no unique mode.
b. The mean score of 70.2 best supports Rolinda's claim that she is doing well in her Spanish class as it takes into account all the scores and is not affected by outliers or extreme values.
c. Rolinda's claim might be misleading because of the low scores such as 59 and 60 which brings down the mean score. Even though her mean score is relatively high, the other two scores (the median and the mode) are not as high. Therefore, it suggests that some low scores might be bringing down the average.
can you make it way shorter and way simpler
Rolinda’s first five Spanish test scores are 85, 85, 60, 62, and 59.
a. The mean (average) score is 70.2, the median (middle score) is 62, and there is no unique mode (most frequent score).
b. The mean score of 70.2 best supports Rolinda's claim that she is doing well.
c. The claim might be misleading because of the low scores (60, 62, 59) that bring down the average, even though there are some high scores (85, 85).
You obviously should know the definitions of
mean, median and mode
Apply them and let us know what you get