Question

centennial high school analyzes the college test scores of its students each year on the drp test. here is the data for this year’s students. each circle shows the test score of one student. the mean test score is 356 and the median test score is 365. a new student transferred in along with his score of 8 on the test, taken at another school. question 1: which of the lines (a, b, c, or d) shown above is most likely to be the mean after including the new student? a b c d question 2: which of the lines (a, b, c, or d) is most likely to be the median after including the new student? a b c d question 3: which of the following descriptive statistics are strongly affected by outliers? choose all that apply average mode median range

Explanation:

Step1: Count original number of students

Count the data points: 8 students (from the first dot plot: 300, 320, 340, 360, 370, 380, 390, 400)

Step2: Calculate original total score

Original mean = 356, so total score = $356 \times 8 = 2848$

Step3: Calculate new total and student count

New total score = $2848 + 8 = 2856$; new count = $8 + 1 = 9$

Step4: Compute new mean

New mean = $\frac{2856}{9} \approx 317.33$

Step5: Determine new median

Original data sorted: [300, 320, 340, 360, 370, 380, 390, 400]; median is average of 4th/5th = 365. New sorted data: [8, 300, 320, 340, 360, 370, 380, 390, 400]; median is 5th value = 360

Step6: Identify outlier-sensitive stats

Mean (average) and range are affected by outliers; median and mode are not.

Answer:

Question 1: B. Line B
Question 2: C. Line C
Question 3: Average, Range