Question

height number of plants 14\frac{1}{2} in 14\frac{3}{4} in 15\frac{1}{4} in 15\frac{1}{2} in graph the measurements from the frequency table on the following line plot. click above the line plot to make dots for each of the measurements. 14 15 16 measurement (in)

Explanation:

Step1: Analyze \( 14\frac{1}{2} \) in

First, convert \( 14\frac{1}{2} \) to quarters: \( 14\frac{1}{2}=14\frac{2}{4} \). The number of plants is 7 (from the tally marks: \( \cancel{||||}|| \) means 5 + 2 = 7). So we place 7 dots above \( 14\frac{2}{4} \) (which is the second mark after 14, since each mark is \( \frac{1}{4} \) in: 14, \( 14\frac{1}{4} \), \( 14\frac{2}{4} \), \( 14\frac{3}{4} \), 15,...).

Step2: Analyze \( 14\frac{3}{4} \) in

The number of plants is 3 (tally marks: |||). \( 14\frac{3}{4} \) is the third mark after 14. Place 3 dots above \( 14\frac{3}{4} \).

Step3: Analyze \( 15\frac{1}{4} \) in

The number of plants is 4 (tally marks: ||||). \( 15\frac{1}{4} \) is the first mark after 15. Place 4 dots above \( 15\frac{1}{4} \).

Step4: Analyze \( 15\frac{1}{2} \) in

Convert \( 15\frac{1}{2} \) to quarters: \( 15\frac{2}{4} \). The number of plants is 2 (tally marks: ||). \( 15\frac{2}{4} \) is the second mark after 15. Place 2 dots above \( 15\frac{2}{4} \).

Answer:

To graph:

• Above \( 14\frac{2}{4} \) (i.e., \( 14\frac{1}{2} \)): 7 dots.
• Above \( 14\frac{3}{4} \): 3 dots.
• Above \( 15\frac{1}{4} \): 4 dots.
• Above \( 15\frac{2}{4} \) (i.e., \( 15\frac{1}{2} \)): 2 dots.

(Note: The line plot has marks at 14, \( 14\frac{1}{4} \), \( 14\frac{2}{4} \), \( 14\frac{3}{4} \), 15, \( 15\frac{1}{4} \), \( 15\frac{2}{4} \), \( 15\frac{3}{4} \), 16. Place the respective number of dots above each corresponding height.)