Rhonda’s first five Spanish scores are 85,85,60,62,and 59.
a) find the mean, the median, and the mode of Rhonda’s Spanish test scores.
Round your answers to the nearest tenth, if necessary.
b) which of these measures best supports Rhonda’s claim that she is doing well in her Spanish class?
c) why is Rhonda’s claim misleading
a)
Mean:
To find the mean, we add all the scores and divide by the number of scores:
(85 + 85 + 60 + 62 + 59) ÷ 5 = 70.2
So the mean is 70.2.
Median:
To find the median, we need to put the scores in order from least to greatest:
59, 60, 62, 85, 85
Since there are five scores, the median is the middle score, which is 62.
Mode:
The mode is the score that appears most frequently. In this case, there are two scores that appear twice, which are 85. So the mode is 85.
b) The measure that best supports Rhonda's claim that she is doing well in her Spanish class is the mean, which is 70.2. It shows that her overall performance is above average.
c) Rhonda's claim is misleading because the median and mode are both below the mean. This means that although Rhonda has some high scores, she also has some low scores that are bringing down her median and mode. So while her mean score is above average, it is not an accurate representation of her overall performance in the class.