Question

number of players
0 1 2 3 4 5 6 7
00 - 0.5 0.6 - 1 1.1 - 1.5 1.6 - 2 2.1 - 2.5 2.6 - 3 3.1 - 3.5 3.6 - 4 4.1 - 4.5
number of hours
which of the following best describes the histogram?
the histogram is evenly distributed.
the histogram is symmetrical.
the left side of the histogram has a cluster.
the left side of the histogram is the mirror image of the right side.

Explanation:

Step1: Analyze "evenly distributed"

An evenly distributed histogram has bars of roughly equal height. Here, bar heights (5, 6, 5, 2, 1, 2, 2, 1, 1) vary, so not evenly distributed.

Step2: Analyze "symmetrical"

A symmetrical histogram has left and right sides mirroring. Left bars (00 - 0.5:5, 0.6 - 1:6, 1.1 - 1.5:5, 1.6 - 2:2, 2.1 - 2.5:1) vs right (2.6 - 3:2, 3.1 - 3.5:2, 3.6 - 4:1, 4.1 - 4.5:1). Not a mirror, so not symmetrical.

Step3: Analyze "left side has a cluster"

Left bars (00 - 0.5, 0.6 - 1, 1.1 - 1.5) have heights 5, 6, 5 (higher than right bars), forming a cluster on the left.

Step4: Analyze "left is mirror of right"

As in Step2, left and right don't mirror, so this is false.

Answer:

The left side of the histogram has a cluster.