A list of positive integers has a median of 8, a mode of 9 and a mean of 10. What is the smallest possible number of integers in the list?
Answers
Answer:
The smallest possible number of integers in the list is six.
Explanation:
From the information given, the list contains at least two numbers that are 9, which is the mode, and at least one number that is greater than 10, which is the mean. As a result, the list contains at least three numbers that are greater than 8. Given that the median of the numbers is 8, the list must therefore contain at least six numbers. Additionally, since the mean is 10, it is possible to find lists of six numbers that add up to 60, such as 1, 2, 7, 9, and 32.
Mode :
The value that shows up most often is the mode for a set of data values. If X is a discrete random variable, the value x (i.e., X = x) at which the probability mass function takes its maximum value is referred to as the mode. Or to put it another way, it is the value that will be sampled the most often. Like the mean and median in statistics, the mode is a way to communicate important information about a random variable or a population in a (typically) single number.
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Answer:
The smallest possible number of integers in the list is six.
Step-by-step explanation:
From the given information, the list contains at least two numbers that are 9, which is the mode, and at least one number that is greater than 10, which is the mean. The result is that the list contains at least three numbers that are greater than 8. Since the median of the numbers is 8, the list must contain at least six numbers. Additionally, since the average is 10, it is possible to find lists of six numbers that add up to 60, such as 1, 2, 7, 9, and 32.
regime:
In statistics, a mode is a value that occurs repeatedly in a given set. We can also say that a value or number in a data set that has a high frequency or occurs more often is called a modal or modal value. It is one of three measures of central tendency, in addition to the mean and median. So for a finite number of observations, we can easily find the mode. A set of values can have one mode or more than one mode or no mode.
The value that appears most often is the mode for the set of data values. If X is a discrete random variable, then the value of x (ie X = x) at which the probability weight function has its maximum value is called the mode. Or to put it another way, it is the value that will be sampled most often. Like the mean and median in statistics, the mode is a way to convey important information about a random variable or population in (usually) a single number.
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