Question

which set of data is represented by the histogram shown below? clear all

Explanation:

Step1: Analyze the histogram intervals

The intervals seem to be 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10.

Step2: Count frequencies in each interval

In the 0 - 2 interval, there are 2 values. In 2 - 4, there are 3 values. In 4 - 6, there are 4 values. In 6 - 8, there are 2 values. In 8 - 10, there are 1 value.

Step3: Match with data - sets

Check each data - set to see if it matches the frequency distribution in the histogram.
For the data - set 1, 1, 2, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 9, 9:
In the 0 - 2 interval, there are 2 values (1, 1). In the 2 - 4 interval, there are 3 values (2, 3, 3). In the 4 - 6 interval, there are 3 values (4, 4, 4). In the 6 - 8 interval, there are 2 values (6, 7). In the 8 - 10 interval, there are 4 values (7, 9, 9, 9). This does not match.
For the data - set 2, 2, 4, 4, 4, 6, 6, 6, 8, 8, 8, 10, 10, 10, 10:
In the 0 - 2 interval, there are 0 values. This does not match.
For the data - set 1, 1, 2, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 9, 9:
In the 0 - 2 interval, there are 2 values (1, 1). In the 2 - 4 interval, there are 3 values (2, 3, 3). In the 4 - 6 interval, there are 3 values (4, 4, 4). In the 6 - 8 interval, there are 2 values (6, 7). In the 8 - 10 interval, there are 4 values (7, 9, 9, 9). This does not match.
For the data - set 2, 3, 3, 3, 4:
This data - set is too small to match the histogram which has 15 data points.
The correct data - set is 1, 1, 2, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 9, 9.

Answer:

1, 1, 2, 3, 3, 4, 4, 4, 6, 7, 7, 9, 9, 9, 9