A class obtained the following scores on a test.
Test Score Frequency
90 2
80 5
70 10
60 3
50 3
40 2
Find the mean, the median, the mode, and the range for the class. (If an answer does not exist, enter DNE.)
2(90)+5(80)+10(70)+3(60)+3(50)+4(40)than divide by 25 =1616 for the mean
median is 70, mode 70, and range is 50.
my sum was 1770
divide that by 25 gave me a mean of 70.8
your mean of 1616 should have hit you as absurd.
range is correct,
your median and mode sound logical
Thank you for your Help it is greatly appreciated. Have a great day
To find the mean (average) of the scores:
1. Multiply each score by its corresponding frequency: 2(90) + 5(80) + 10(70) + 3(60) + 3(50) + 2(40) = 180 + 400 + 700 + 180 + 150 + 80 = 1690.
2. Add up all the results: 1690.
3. Divide the sum by the total number of scores (25 in this case): 1690 รท 25 = 67.6.
Therefore, the mean of the scores is 67.6.
To find the median, arrange the scores in numerical order:
40, 40, 50, 50, 50, 60, 60, 60, 70, 70, 70, 70, 70, 70, 70, 70, 70, 70, 80, 80, 80, 80, 80, 90, 90.
Since there is an odd number of scores (25 in total), the median is the middle value. In this case, the middle value is 70.
Therefore, the median of the scores is 70.
The mode is the value or values that appear most frequently. In this case, the mode is 70 as it appears 10 times, which is the highest frequency.
Therefore, the mode of the scores is 70.
Lastly, to find the range, subtract the lowest score from the highest score:
Highest score: 90
Lowest score: 40
Range = Highest score - Lowest score = 90 - 40 = 50.
Therefore, the range of the scores is 50.
To find the mean, we need to sum up all the test scores and divide by the total number of scores. Let's calculate it step by step:
We have the following test scores and their corresponding frequencies:
Test Score: 90, Frequency: 2
Test Score: 80, Frequency: 5
Test Score: 70, Frequency: 10
Test Score: 60, Frequency: 3
Test Score: 50, Frequency: 3
Test Score: 40, Frequency: 2
To find the mean, we need to multiply each score by its frequency, then sum up these values and divide by the total number of scores:
(2 * 90) + (5 * 80) + (10 * 70) + (3 * 60) + (3 * 50) + (2 * 40) = 180 + 400 + 700 + 180 + 150 + 80 = 1690.
Now, divide the sum by the total number of scores: 1690 / 25 = 67.6.
Therefore, the mean (average) score for the class is 67.6.
To find the median, we arrange the scores in ascending order and look for the middle score. In this case, the middle score is the 13th value when the scores are ordered:
40, 40, 50, 50, 50, 60, 60, 60, 70, 70, 70, 70, 70, 80, 80, 80, 80, 80, 90, 90
Hence, the median score is 70.
The mode represents the score that appears most frequently. In this case, the mode is 70 because it has the highest frequency of 10.
Finally, the range is the difference between the maximum and minimum scores. The highest score in this data set is 90, and the lowest is 40. Therefore, the range is 90 - 40 = 50.
To summarize:
- Mean: 67.6
- Median: 70
- Mode: 70
- Range: 50