1.### Find the mean in the following numbers:
19, 21, 18, 17, 18, 22, 46

Answer:
23

Explanation:

The mean, or average, of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers in the set. For the numbers 19, 21, 18, 17, 18, 22, and 46, the sum is 161. Dividing this sum by the total count of numbers, which is 7, gives a mean of 23. This value represents the central point of the dataset, providing a measure of central tendency.

2.### What is the median in the following numbers:
19, 21, 18, 17, 18, 22, 46

Answer:
19

Explanation:

The median is the middle value in a set of numbers when they are arranged in ascending or descending order. If we were to place the numbers in ascending order then they would be 17, 18, 18, 19, 21, 22, and 46. Since there are 7 numbers, the middle value would be the 4th number, which is 19. Therefore, 19 is the median of the given numbers.

3.### Find the mean in the following numbers:
9, 8, 15, 8, 20

Answer:
12

Explanation:

The mean is calculated by adding up all the numbers in a set and dividing the sum by the total number of values. In this case, the sum of the numbers 9, 8, 15, 8, and 20 is 60. Dividing 60 by 5 (the total number of values) gives us a mean of 12.

4.### Find the median in the following numbers:
9, 8, 15, 8, 20

Answer:
9

Explanation:

The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are 9, 8, 15, 8, and 20. When arranged in order, the numbers become 8, 8, 9, 15, and 20. The middle value is 9, so it is the median.

5.### Find the mode in the following numbers:
9, 8, 15, 8, 20

Answer:
8

Explanation:

The mode is the number that appears most frequently in a set of numbers. In this case, the number 8 appears twice, which is more than any other number in the set. Therefore, the mode of the given numbers is 8.

6.### Find the range in the following numbers:
9, 8, 15, 8, 20

Answer:
12

Explanation:

The range is the difference between the highest and lowest values in a set of numbers. In this case, the highest number is 20 and the lowest number is 8. The difference between these two numbers is 12, so the range is 12.

7.### Find the mean in the following numbers:
36, 38, 33, 34, 32, 30, 34, 35

Answer:
34

Explanation:

The correct answer is 34 because the mean is calculated by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, the sum of the numbers is 272 and there are 8 numbers. When you divide 272 by 8, you get 34. Therefore, the mean of the given numbers is 34.

8.### Find the median in the following numbers:
36, 38, 33, 34, 32, 30, 34, 35

Answer:
34

Explanation:

The median is the middle value in a set of numbers when they are arranged in order. If we put the numbers in ascending order then it will be 30, 32, 33, 34, 34, 35, 36, and 38. Since there are 8 numbers, the middle value would be the 4th number, which is 34. Therefore, 34 is the median of the given numbers.

9.### Find the mode in the following numbers:
36, 38, 33, 34, 32, 30, 34, 35

Answer:
34

Explanation:

The mode is the number that appears most frequently in a set of numbers. In this case, the number 34 appears twice, which is more than any other number in the set. Therefore, the mode of the given numbers is 34.

10.### Find the mean of the following numbers: 2.2, 10.2, 14.7, 5.9, 4.9, 11.1, 10.5

Answer:
8.5

Explanation:

The mean is calculated by adding up all the numbers and then dividing the sum by the total number of numbers. In this case, the sum of the numbers is 2.2 + 10.2 + 14.7 + 5.9 + 4.9 + 11.1 + 10.5 = 59.5. Since there are 7 numbers, the mean is 59.5 divided by 7, which equals 8.5.

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