Interpret the following graphs to determine which shows an equal share value as the mean of 7.(1 point)
Responses
A bar graph is drawn with an x-axis ranging from 0 to 10 in one-unit increments. The y-axis has one increment labeled as 0.1. The outline of a column is drawn on the bar graph from 0 to 5 on the x-axis with a height of 0.1. A solid column is drawn from 5 to 10 with a height of 0.1. The x-axis extends a short distance leftward and is labeled with a second 0. A vertical line extends upward and passes through the y-axis value of 0.1.
Image with alt text: A bar graph is drawn with an x-axis ranging from 0 to 10 in one-unit increments. The y-axis has one increment labeled as 0.1. The outline of a column is drawn on the bar graph from 0 to 5 on the x-axis with a height of 0.1. A solid column is drawn from 5 to 10 with a height of 0.1. The x-axis extends a short distance leftward and is labeled with a second 0. A vertical line extends upward and passes through the y-axis value of 0.1.
A bar graph with seven columns is drawn. The x-axis has values labeled from 4 to 10 in increments of 1. The y-axis has values from 0 to 12 in increments of 2. The data reads as follows: column 4 has a height of 2; column 5 has a height of 2; column 6 has a height of 6; column 7 has a height of 12; column 8 has a height of 6; column 9 has a height of 2; column 10 has a height of 2.
Image with alt text: A bar graph with seven columns is drawn. The x-axis has values labeled from 4 to 10 in increments of 1. The y-axis has values from 0 to 12 in increments of 2. The data reads as follows: column 4 has a height of 2; column 5 has a height of 2; column 6 has a height of 6; column 7 has a height of 12; column 8 has a height of 6; column 9 has a height of 2; column 10 has a height of 2.
A histogram has x-axis values ranging from 0 to 10 in one-unit increments and a y-axis ranging from 0 to 2 in increments of 0.5. All 10 x-axis value ranges have a column height of 1 on the y-axis.
Image with alt text: A histogram has x-axis values ranging from 0 to 10 in one-unit increments and a y-axis ranging from 0 to 2 in increments of 0.5. All 10 x-axis value ranges have a column height of 1 on the y-axis.
A bar graph with five columns is drawn. The x-axis has values labeled from 6 to 10 in increments of 1. The y-axis has values from 0 to 12 in increments of 2. The data reads as follows: column 6 has a height of 2; column 7 has a height of 8; column 8 has a height of 6; column 9 has a height of 2; column 10 has a height of 2.
Image with alt text: A bar graph with five columns is drawn. The x-axis has values labeled from 6 to 10 in increments of 1. The y-axis has values from 0 to 12 in increments of 2. The data reads as follows: column 6 has a height of 2; column 7 has a height of 8; column 8 has a height of 6; column 9 has a height of 2; column 10 has a height of 2.
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The graph that shows an equal share value as the mean of 7 is the third graph, the histogram. In this graph, all 10 x-axis value ranges have a column height of 1 on the y-axis. This means that the mean value of 7 is represented by a column with a height of 1, which is an equal share value compared to the other columns.
The graph that shows an equal share value as the mean of 7 is the second one.
In the second graph, the columns represent different values on the x-axis (from 4 to 10). The height of each column represents the data values. Notably, the column for the value 7 has a height of 12.
Since the mean of a set of numbers is the sum of all the values divided by the count of values, we can calculate the mean by adding up the heights of all the columns and dividing by the total number of columns (in this case, 7).
Adding up the heights:
2 + 2 + 6 + 12 + 6 + 2 + 2 = 32
Dividing by the count:
32 / 7 = 4.57
Therefore, the mean of the data represented by the second graph is 4.57.
So, the second graph shows an equal share value that is close to the mean of 7.