Explanation

To find the median, we need to arrange the data in order:

3, 6, 8, 9, 10, 12, 14, 14, 16

Since there are 9 numbers (an odd number), the median is the middle value, which is the 5th number:

The median is 10.

Explanation

A histogram is a type of vertical bar graph used to represent frequency distributions, where the bars touch each other to indicate continuous data.

Unlike bar graphs, histograms do not have space between the bars, reflecting intervals of data.

Explanation

Modulo (mod) operation finds the remainder when 5 is divided by 3.

5 ÷ 3 = 1 remainder 2, so 5 mod 3 = 2.

Explanation

The mode is the number that appears most frequently in a dataset.

Since all numbers in the given data appear only once, there is no mode.

Explanation

Pie chart represents data using sectors of a circle, where each sector shows a proportion of the whole.

It is commonly used for percentage or proportional comparisons in statistics.

Explanation

When a coin is flipped, there are two possible outcomes: heads (H) or tails (T).

The probability of getting a head is the number of favorable outcomes (getting a head) divided by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

= 1 (head) / 2 (head or tail)

= 1/2

Explanation

The geometric mean (GM) of two numbers is the square root of their product:

GM = √(9 × 25)

GM = √225

GM = 15

Explanation

Let's define the five consecutive integers as:

$$n,(n+1),(n+2),(n+3),(n+4)$$

Step 1: Set up the equation

Their product is given as:

$$n(n+1)(n+2)(n+3)(n+4)$$

If we add 30 to this product, the lowest integer should be determined.

Step 2: Checking the answer choices

Let's check $n = 1$:

$$1\times 2\times 3\times 4\times 5=120$$

Adding 30:

$$120 + 30 = 150$$

150 is not a perfect product of five consecutive integers for a lower value of $n$.

Let's check $n = 3$:

$$3 times 4 times 5 times 6 times 7 = 2520$$

Adding 30:

$$2520 + 30 = 2550$$

Again, this does not lead to another valid set of consecutive integers.

Let's check $n = 6$:

$$6 times 7 times 8 times 9 times 10 = 3024$$

Adding 30:

$$3024 + 30 = 3054$$

None of these seem to form a perfect new product. However, since the question asks for the lowest integer in a valid case, and if a valid product exists, we see that $n = 6$ fits the pattern closest.

Final Answer:

$$mathbf{(c) 6}$$

Explanation

Explanation

To find the geometric mean, we need to multiply the numbers together and then take the nth root, where n is the number of values.

In this case, we have 4 numbers: 1, 2, 8, and 16.

First, multiply them together:

1 × 2 × 8 × 16 = 256

Then, take the 4th root (since there are 4 numbers):

256^(1/4) = 4

So, the geometric mean is 4.