Question

The amount of rainfall each month over the past four years is shown below. Which statement must be true according to the histogram? The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches. The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches. The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches. The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Answer 1

Option D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Explanation:

We are given that:

The amount of rainfall each month over the past four years. We have to find the correct statement about the given histogram.

We know that:

• Positive skew is when the long tail is on the positive side of the peak, and known to be skewed to the right. The mean is on the right of the peak value.

• Negative skew is when the long tail is on the negative side or on left, and known to be skewed to the left. The mean is on the left of the peak value.
• If the data are symmetric, they have about the same shape on either side of the middle. In other words, if we fold the histogram in half, it looks about the same on both sides.
• The given graph is a symmetric graph as it is symmetric on both side with two modes.
• Thus, the correct option is:

Option D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Answer 2

Option d) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.

Explanation:

Given that the amount of rainfall each month over the past four years is shown below.

The histogram appears as a reflection on the vertical line through the middle

The rainfall first is maximum then decreases gradually after minimum increases gradually so that it equals the start amount

Thus the histogram is perfectly symmetrical

It is not skewed to left or right

Option d) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.