Finding Measures Of Central Tenancy And Range
There exist three measures of central tenancy and ranges that is the mode, median and mean. Take the test below to find out how you can determine these measures exploring their different formulas to summarize data to a simpler form. Enjoy.
Questions and Answers
- 1.
What is the mode 34, 56, 90, 45, 23, 34
- A.
34
- B.
45
- C.
90
Correct Answer
A. 34Explanation
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.Rate this question:
-
- 2.
Find the range 30 46 45 58 31
- A.
50
- B.
30
- C.
28
Correct Answer
C. 28Explanation
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.Rate this question:
-
- 3.
Find the mean. 30 46 45 58 31
- A.
43
- B.
42
- C.
38
Correct Answer
B. 42Explanation
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.Rate this question:
-
- 4.
What is the median? 90, 67, 78, 34, 23, 45, 78, 89, 88
- A.
34
- B.
78
- C.
67
Correct Answer
B. 78Explanation
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.Rate this question:
-
- 5.
The middle number in the set of data may also be known as ______________.
- A.
Median
- B.
Front
- C.
End
- D.
Middle
Correct Answer
A. MedianExplanation
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.Rate this question:
-
- 6.
Another name for mean is ___________________________
Correct Answer
averageExplanation
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."Rate this question:
- 7.
The median is found by adding up the numbers and dividing by the number of numbers.
- A.
True
- B.
False
- C.
Don't know
Correct Answer
B. FalseExplanation
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.Rate this question:
-
- 8.
The mode is the biggest number minus the smallest number
- A.
True
- B.
False
- C.
Don't know
Correct Answer
B. FalseExplanation
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.Rate this question:
-
- 9.
The range measures the spread of the data.
- A.
True
- B.
False
- C.
Don't know
Correct Answer
A. TrueExplanation
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.Rate this question:
-
- 10.
1, 2, 2, 2, 3, 4, ,4, 5, 8, 9, 12Find the mean, median and mode respectively for this set of data.
- A.
4.5, 4, 4
- B.
5, 2, 4
- C.
2, 4, 2
- D.
5.8, 4, 2
Correct Answer
D. 5.8, 4, 2Explanation
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.Rate this question:
-
Back to top