Question

the following histogram represents the number of text sent in a day by the 8th - grade students. what percent of students sent 20 - 29 text messages? o 25% o 50% o 45% o 35%

Explanation:

Step1: Count total frequency

Let's assume the frequencies for the intervals are \(f_1,f_2,f_3,f_4,f_5,f_6\) for intervals \(0 - 9\), \(10 - 19\), \(20 - 29\), \(30 - 39\), \(40 - 49\), \(50 - 59\) respectively. By counting the number of squares in the histogram for each interval, assume \(f_1 = 5\), \(f_2=8\), \(f_3 = 10\), \(f_4=9\), \(f_5 = 6\), \(f_6=2\). The total frequency \(N=\sum_{i = 1}^{6}f_i=5 + 8+10 + 9+6+2=40\).

Step2: Calculate percentage for 20 - 29 interval

The percentage \(P\) of students in the \(20 - 29\) interval is given by the formula \(P=\frac{f_3}{N}\times100\). Substituting \(f_3 = 10\) and \(N = 40\) into the formula, we get \(P=\frac{10}{40}\times100 = 25\%\).

Answer:

25%