B.The data below show the score of 40 students in the 2015 National Achievement Test (NAT). 35 16 28 43 21 17 15 16 20 18 25 22 33 16 32 38 23 32 18 25 35 18 20 22 38 22 17 22 16 23 24 15 15 23 22 20 14 39 22 38 6. What score is typical to the group of the students? Why? 7. What score appears to be the median? How many students fall below that score? 8. Which score frequently appears? 9. Find the Mean, Median and Mode. 10.Describe the data in terms of the mean, median, and mode.
Answer (1)
Answer:The sorted data for better context:[tex] \tiny{14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 18, 18, 18, 20, 20, 20, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 24, 25, 25, 28, 32, 32, 33, 35, 35, 38, 38, 38, 39, 43}[/tex]6. What score is typical to the group of the students? Why?A score of 22 is quite typical for this group of students. This is because 22 is both the median score (the middle value when all scores are ordered) and the mode score (the most frequently appearing score). This indicates that 22 represents a central and common performance level among the students.7. What score appears to be the median? How many students fall below that score?The median score is 22.There are 17 students who scored below this median score.8. Which score frequently appears?The score that frequently appears is 22, which showed up 6 times in the data.9. Find the Mean, Median and Mode.Mean (Average): ${23.95}$Median (Middle Value): ${22}$Mode (Most Frequent Value): ${22}$10. Describe the data in terms of the mean, median, and mode.The data for the students' NAT scores shows a concentration around the low twenties. With the mode and median both being 22, it suggests that this score is the most common and also marks the central point of the dataset. The mean of 23.95 is just slightly higher than the median and mode. This indicates that the distribution of scores is relatively balanced, or slightly skewed towards higher scores due to a few higher values, pulling the average up a bit. Overall, most students scored around the 22-24 mark.[tex] \: [/tex]
