The answer correctly describes the shape of the data in the histogram is (c) symmetrical. Hence, (c) is correct.
A histogram is a graphical representation of the distribution of numerical data. It is a type of bar chart where the height of each bar represents the frequency of the data in the corresponding class interval.
The histogram in the question has 5 bars with equal widths. The heights of the bars are 2, 5, 6, 5, and 2 from left to right.
To determine the shape of the data in the histogram, we can look at the symmetry of the bars. In a symmetrical histogram, the bars are evenly distributed on either side of the center bar. In the histogram in the question, the bars are evenly distributed on either side of the third bar, which has a height of 6. Therefore, the shape of the data in the histogram is symmetrical.
Another way to determine the shape of the data in the histogram is to look at the skewness of the bars. A skewed histogram has more bars on one side than the other. The histogram in the question has the same number of bars on either side of the center bar, so it is not skewed.
Therefore, the answer is (c) symmetrical.
Here is a more detailed explanation of the other answer choices:
(a) left-skewed: A left-skewed histogram has more bars on the left side than the right side.
(b) right-skewed: A right-skewed histogram has more bars on the right side than the left side.
(d) uniform: A uniform histogram has all bars with the same height.