# Finding Measures Of Central Tenancy And Range

Approved & Edited by ProProfs Editorial Team
At ProProfs Quizzes, our dedicated in-house team of experts takes pride in their work. With a sharp eye for detail, they meticulously review each quiz. This ensures that every quiz, taken by over 100 million users, meets our standards of accuracy, clarity, and engagement.
| Written by Tbutler2013
T
Tbutler2013
Community Contributor
Quizzes Created: 3 | Total Attempts: 1,485
Questions: 10 | Attempts: 269

Settings

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.

• 1.

### What is the mode 34, 56, 90, 45, 23, 34

• A.

34

• B.

45

• C.

90

A. 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.

Rate this question:

• 2.

### Find the range 30   46   45   58    31

• A.

50

• B.

30

• C.

28

C. 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.

Rate this question:

• 3.

### Find the mean. 30   46   45   58    31

• A.

43

• B.

42

• C.

38

B. 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.

Rate this question:

• 4.

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

• A.

34

• B.

78

• C.

67

B. 78
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.

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

A. Median
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.

Rate this question:

• 6.

### Another name for mean 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."

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

B. False
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.

Rate this question:

• 8.

### The mode is the biggest number minus the smallest number

• A.

True

• B.

False

• C.

Don't know

B. False
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.

Rate this question:

• 9.

### The range measures the spread of the data.

• A.

True

• B.

False

• C.

Don't know

A. 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.

Rate this question:

• 10.

• A.

4.5, 4, 4

• B.

5, 2, 4

• C.

2, 4, 2

• D.

5.8, 4, 2