Question

the line plot shows the heights of several students.
students heights
48 48¼ 48½ 48¾ 49
height (inches)
which data set is represented by the line plot?
a 48¼, 48, 48½, 48, 48, 48¾, 48, 49
b 48¼, 48½, 48¾, 49
c 48¼, 48¼, 48½, 48½, 48½, 48¾, 48¾, 49
d 48, 48, 48, 49

Explanation:

Step1: Analyze the line plot

Count the number of dots at each height:

• At \(48\frac{1}{4}\): 2 dots (so two \(48\frac{1}{4}\) values)
• At \(48\frac{2}{4}\): 3 dots (so three \(48\frac{2}{4}\) values)
• At \(48\frac{3}{4}\): 2 dots (so two \(48\frac{3}{4}\) values)
• At \(49\): 1 dot (so one \(49\) value)

Step2: Match with options

Check each option:

• Option A: Incorrect values (has 48s which don't match the plot)
• Option B: Incorrect counts (not matching the number of dots)
• Option C: \(48\frac{1}{4}\) (2 times), \(48\frac{2}{4}\) (3 times), \(48\frac{3}{4}\) (2 times), \(49\) (1 time) – matches the counts.
• Option D: Incorrect values and counts.

Answer:

C. \(48\frac{1}{4}, 48\frac{1}{4}, 48\frac{2}{4}, 48\frac{2}{4}, 48\frac{2}{4}, 48\frac{3}{4}, 48\frac{3}{4}, 49\)