Find the measures of central tendencies (mean, median, mode).
The scores of 9 students in a 100-item test are 67, 70, 49, 95, 40, 97, 62, 54, and 42.
Answer (1)
To find the measures of central tendency — mean, median, and mode — for the given test scores, you should follow these steps:
Mean:
Add all the scores together and then divide by the number of scores.
Scores: 67, 70, 49, 95, 40, 97, 62, 54, 42
Sum: 67 + 70 + 49 + 95 + 40 + 97 + 62 + 54 + 42 = 576
Number of scores: 9
Mean: 9 576 = 64
Median:
Arrange the scores in ascending order and find the middle value.
Ordered scores: 40, 42, 49, 54, 62, 67, 70, 95, 97
Since there are 9 scores, the median is the 5th score in this ordered list.
Median: 62
Mode:
The mode is the score that appears most frequently.
In this case, all scores appear only once, so there is no mode.
In summary:
The mean score is 64.
The median score is 62.
There is no mode since no score repeats.
