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25 votes
What are the mean,median,mode and range of 59,63,63,72,72,72,72,72,76,81,83,84,84,93.

2 Answers

3 votes

Answer:

mean 74.714285714286

median 72

mode 72

range 34

Explanation:

User Takeisha
by
2.9k points
11 votes

Answer:

Mean: 74.71

Median: 72

Mode: 72

Range: 34

Explanation:

First, let's define what each of these terms mean:

Mean: the average of the data

Median: the number in the middle after being put in ascending order

Mode: the number listed the most

Range: the highest number minus the smallest number

To find the mean, just add up all the numbers and divide by how many there are. First, add up all the numbers in the set. This should give you 1,046. Next, divide by how many terms there are. Since there are 14 terms in this set, we'll be dividing 1,046 by 14. This will give us a mean of 74.71 or 75 if you're rounding up.

To find the median, you'll first need to put the terms in ascending order, meaning from lowest to highest. Luckily, the set is already in ascending order, so that step is not necessary here. Next, you're going to find the number in the middle of the set. However, since there are an even number of terms, we have two numbers in the middle: 72 and 72. To find the median with two numbers in the middle, just add both terms up and divide by 2. However, since both terms are 72, this step is also not necessary. Our median is simply 72.

To find the mode, you're just looking for the number that appears the most. In this case, it would be 72 since it appears more than any other number in the set (5 times.)

Last, to find the range, just subtract the lowest number from the highest number in the set. With the highest number being 93 and the lowest being 59, just do 93 - 59 for a range of 34. Please let me know if you have any further questions!

User Rell
by
4.0k points