Question

1. a group of 18 students recorded how many hours they slept last night. they created the dot plot below. dot plot - hours slept a new student joins the group. we learn he slept 2 hours and adds his point to the dot plot. how will this new point affect the median?

Explanation:

Step1: Count original data points

From the dot plot: 4 dots at 6, 8 dots at 7, 6 dots at 8 → Total = 4+8+6=18 points.

Step2: Find original median

For 18 points, median is average of 9th and 10th values. Sorted data: first 4=6, next 8=7 → 9th and 10th values are both 7. Original median = $\frac{7+7}{2}=7$.

Step3: Add new data point (2)

New total points = 19. Median is the 10th value. Sorted data: 1=2, next 4=6, next 8=7 → 10th value is 7.

Answer:

The median remains 7.