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2 years ago

Find a set of 5 positive integers that has a possible mode of 5, a median of 7 and a mean of 9

Mathematics

1 answer:

Pavel [41]2 years ago

7 0

Answer:

You could have a set of [5, 7, 13, 15, 5]

Step-by-step explanation:

The mode is 5 (5 occurs the most in the set).

Definition of the mode of a set:

The mode of a set of data is the value in the set that occurs most often. In the problem above, 18 is the mode. It is easy to remember the definition of a mode since it has the word most in it. Fun fact: The words mode and most both start with the letters mo.

The median is 7 (if you put the numbers in strictly increasing order, 7 will be the middle number).

Definition of the median of a set:

The median of a set of data is the middlemost number or center value in the set. The median is also the number that is halfway into the set. To find the median, the data should be arranged, first, in order of least to greatest or greatest to the least value.

The mean is 9 (5 + 7 + 13 + 15 + 5).

Definition of the mean of a set:

The mean is the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of mean that can be calculated. Summing the numbers in a set and dividing by the total number gives you the arithmetic mean.

Hope this helps.

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Answer please, thanks.

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Read 2 more answers

A videotape store has an average weekly gross of $1,158 with a standard deviation of $120. Let x be the store's gross during a r

statuscvo [17]

Answer:

The number of standard deviations from $1,158 to $1,360 is 1.68.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 1158, \sigma = 120$