Questions: The kindergarten students in a school were asked to reach into a bag of candy and pull out as many pieces as they could with one hand. The number of candies for each student was counted, and the results are displayed in the following frequency table. Which histogram accurately summarizes the data? Value Frequency --- --- 8 2 9 6 10 2 11 4 12 6 13 7 Select the correct answer below:

The kindergarten students in a school were asked to reach into a bag of candy and pull out as many pieces as they could with one hand. The number of candies for each student was counted, and the results are displayed in the following frequency table.

Which histogram accurately summarizes the data?

Value Frequency
--- ---
8 2
9 6
10 2
11 4
12 6
13 7

Select the correct answer below:

Transcript text: The kindergarten students in a school were asked to reach into a bag of candy and pull out as many pieces as they could with one hand. The number of candies for each student was counted, and the results are displayed in the following frequency table. Which histogram accurately summarizes the data? \begin{tabular}{|c|c|} \hline Value & Frequency \\ \hline 8 & 2 \\ \hline 9 & 6 \\ \hline 10 & 2 \\ \hline 11 & 4 \\ \hline 12 & 6 \\ \hline 13 & 7 \\ \hline \end{tabular} Select the correct answer below:

Solution

Solution Steps

To solve this problem, we need to create a histogram based on the given frequency table. A histogram is a graphical representation of the distribution of numerical data, where the data is divided into bins or intervals. Each bin is represented by a bar, and the height of the bar corresponds to the frequency of data within that bin. In this case, each unique value (8, 9, 10, 11, 12, 13) represents a bin, and the frequency indicates the height of the bar for each bin.

Step 1: Understanding the Frequency Table

The frequency table provided shows the number of candies each student picked and how many students picked that number of candies. The table is as follows:

\[ \begin{array}{|c|c|} \hline \text{Value (Number of Candies)} & \text{Frequency (Number of Students)} \\ \hline 8 & 2 \\ 9 & 6 \\ 10 & 2 \\ 11 & 4 \\ 12 & 6 \\ 13 & 7 \\ \hline \end{array} \]

Step 2: Constructing the Histogram

To construct a histogram, we need to plot the values (number of candies) on the x-axis and the frequencies (number of students) on the y-axis. Each bar in the histogram will represent the frequency of a particular number of candies.

For 8 candies, the frequency is 2.
For 9 candies, the frequency is 6.
For 10 candies, the frequency is 2.
For 11 candies, the frequency is 4.
For 12 candies, the frequency is 6.
For 13 candies, the frequency is 7.

Step 3: Analyzing the Histogram Options

To determine which histogram accurately summarizes the data, we need to ensure that the heights of the bars correspond to the frequencies listed in the table. The correct histogram will have:

A bar of height 2 for 8 candies.
A bar of height 6 for 9 candies.
A bar of height 2 for 10 candies.
A bar of height 4 for 11 candies.
A bar of height 6 for 12 candies.
A bar of height 7 for 13 candies.

Final Answer

The correct histogram will have bars with heights matching the frequencies given in the table for each number of candies. Since the question is a multiple-choice question, the answer will be the option that matches these criteria. Without the visual options provided here, I cannot specify which letter corresponds to the correct histogram. However, you should select the histogram that matches the frequency distribution described above.

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