Finding Measures Of Central Tenancy And Range

1. What is the mode 34, 56, 90, 45, 23, 34

34

45

90

The mode is the value that appears most frequently in a set of numbers. In this case, the number 34 appears twice, while all the other numbers appear only once. Therefore, the mode of the given set of numbers is 34.

Explanation

The mode is the value that appears most frequently in a set of numbers. In this case, the number 34 appears twice, while all the other numbers appear only once. Therefore, the mode of the given set of numbers is 34.

2. The middle number in the set of data may also be known as ______________.

Median

Front

End

Middle

The middle number in a set of data is known as the median. The median is the value that separates the data into two equal halves, with half of the values being greater than the median and half being less than the median. It is a measure of central tendency that helps to understand the typical or average value in a dataset.

Explanation

The middle number in a set of data is known as the median. The median is the value that separates the data into two equal halves, with half of the values being greater than the median and half being less than the median. It is a measure of central tendency that helps to understand the typical or average value in a dataset.

3. What is the median? 90, 67, 78, 34, 23, 45, 78, 89, 88

34

78

67

The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are 23, 34, 45, 67, 78, 78, 88, 89, and 90. When arranged in order, the middle value is 78, which is the median.

Explanation

The median is the middle value in a set of numbers when they are arranged in order. In this case, the numbers are 23, 34, 45, 67, 78, 78, 88, 89, and 90. When arranged in order, the middle value is 78, which is the median.

4. Find the mean. 30 46 45 58 31

43

42

38

The given numbers are 30, 46, 45, 58, and 31. To find the mean, we need to add up all the numbers and divide the sum by the total number of values. Adding up the numbers, we get 30 + 46 + 45 + 58 + 31 = 210. Since there are 5 numbers, we divide the sum by 5 to get the mean. 210 divided by 5 is 42. Therefore, the mean of the given numbers is 42.

Explanation

The given numbers are 30, 46, 45, 58, and 31. To find the mean, we need to add up all the numbers and divide the sum by the total number of values. Adding up the numbers, we get 30 + 46 + 45 + 58 + 31 = 210. Since there are 5 numbers, we divide the sum by 5 to get the mean. 210 divided by 5 is 42. Therefore, the mean of the given numbers is 42.

5. The mode is the biggest number minus the smallest number

True

False

Don't know

The statement that "the mode is the biggest number minus the smallest number" is false. The mode refers to the value that appears most frequently in a set of data, and it is not related to the difference between the biggest and smallest numbers. The mode can be any value in the data set, regardless of its range or distribution.

Explanation

The statement that "the mode is the biggest number minus the smallest number" is false. The mode refers to the value that appears most frequently in a set of data, and it is not related to the difference between the biggest and smallest numbers. The mode can be any value in the data set, regardless of its range or distribution.

6. Find the range 30 46 45 58 31

50

30

28

The range is the difference between the highest and lowest values in a set of numbers. In this case, the highest number is 58 and the lowest number is 30. Therefore, the range is 58 - 30 = 28.

Explanation

The range is the difference between the highest and lowest values in a set of numbers. In this case, the highest number is 58 and the lowest number is 30. Therefore, the range is 58 - 30 = 28.

7. Another name for mean is ___________________________

The term "mean" is often used interchangeably with "average." It refers to the sum of a set of numbers divided by the total number of values in the set. Thus, the correct answer is "average."

Explanation

The term "mean" is often used interchangeably with "average." It refers to the sum of a set of numbers divided by the total number of values in the set. Thus, the correct answer is "average."

Submit

8. The median is found by adding up the numbers and dividing by the number of numbers.

True

False

Don't know

The statement "The median is found by adding up the numbers and dividing by the number of numbers" is incorrect. The median is actually the middle value in a set of numbers when they are arranged in order. It is not calculated by adding up the numbers and dividing by the number of numbers.

Explanation

The statement "The median is found by adding up the numbers and dividing by the number of numbers" is incorrect. The median is actually the middle value in a set of numbers when they are arranged in order. It is not calculated by adding up the numbers and dividing by the number of numbers.

9. The range measures the spread of the data.

True

False

Don't know

The range is a measure of dispersion that calculates the difference between the highest and lowest values in a dataset. It provides information about the spread or variability of the data. By calculating the range, we can determine how much the data points deviate from each other. Therefore, the statement "The range measures the spread of the data" is true.

Explanation

The range is a measure of dispersion that calculates the difference between the highest and lowest values in a dataset. It provides information about the spread or variability of the data. By calculating the range, we can determine how much the data points deviate from each other. Therefore, the statement "The range measures the spread of the data" is true.

10. 1, 2, 2, 2, 3, 4, ,4, 5, 8, 9, 12
Find the mean, median and mode respectively for this set of data.

4.5, 4, 4

5, 2, 4

2, 4, 2

5.8, 4, 2

The given answer is incorrect. The mean of the set of data is calculated by adding up all the numbers and dividing by the total count. The median is the middle value when the data is arranged in ascending order. The mode is the number that appears most frequently in the data set. To find the correct mean, median, and mode for the given set of data, we need the complete set of numbers.

Explanation

The given answer is incorrect. The mean of the set of data is calculated by adding up all the numbers and dividing by the total count. The median is the middle value when the data is arranged in ascending order. The mode is the number that appears most frequently in the data set. To find the correct mean, median, and mode for the given set of data, we need the complete set of numbers.