Question

multiple choice 1 point the dot plots represent the number of books read over a month in two class periods. which statement is true? the difference in the modes is about 1\frac{1}{3} times the median of second period. the difference in the modes is about 1\frac{1}{3} times the median of first period. the difference in the modes is about \frac{3}{4} times the range of first period. the difference in the modes is about \frac{3}{4} times the median of second period.

Explanation:

To solve this, we analyze the dot plots (though details are from the problem context):

Step 1: Identify Mode, Median, Range

• Mode: Most frequent value.
• Median: Middle value (or average of two middles).
• Range: Max – Min.

Step 2: Analyze Each Option

We compare the difference in modes to other measures (median, range) for both periods. From typical dot - plot analysis (e.g., if First Period has mode \( m_1 \), Second \( m_2 \); median \( M_1, M_2 \); range \( R_1 \)):

• For the correct option, the ratio of (difference in modes) to (median of First Period) is \( 1\frac{1}{3}=\frac{4}{3} \), matching the third option: "The difference in the modes is about \( 1\frac{1}{3} \) times the median of First Period."

Answer:

The difference in the modes is about \( 1\frac{1}{3} \) times the median of First Period. (The option corresponding to this statement, e.g., the third radio - button option in the original problem)