Question

interpreting the shape of the data
enter two or more numbers in the table to create a histogram.
enter the data to create a histogram. then select the
correct answer.

hours 9 1 8 7 9 9 8 9 8 7
the histogram is not symmetrical.
the histogram is symmetrical.
the data are evenly distributed.
the left side of the graph is the mirror image of the
right side of the graph.
show histogram.

Explanation:

Step1: Count the frequency of each number

• For \(1\): frequency \(f_1 = 1\)
• For \(7\): frequency \(f_7=2\)
• For \(8\): frequency \(f_8 = 3\)
• For \(9\): frequency \(f_9=4\)

Step2: Analyze symmetry and even - distribution

• Symmetry: A symmetric histogram would have a mirror - like shape around a central axis. Here, the frequencies are \(1,2,3,4\) (for \(1,7,8,9\) respectively). There is no central axis around which the frequencies are mirrored.
• Even distribution: In an evenly - distributed data set, the frequencies of different values would be approximately the same. Here, the frequencies \(1,2,3,4\) are not approximately equal.

Answer:

The histogram is not symmetrical.