Question

Calculate the mean, median, mode and range of the given data. "28 , 26 , 22 , 30 , 29 , 25 , 28 , 31 , 29 , 22"​

Answer 1

Answer:

Mode= 22,28 and 29 Range=09 Mean=27

Answer 2

Answer:

Mean = 27

Median = 28

Mode = 22 , 28 and 29.

Range of data = 19

Step-by-step explanation:

                                   

                                MEAN

• The mean is the average of the numbers.

• It is easy to calculate: add up all the numbers, then divide by how many numbers there are.

         In other words it is the sum divided by the count.

• 28 , 26 , 22 , 30 , 29 , 25 , 28 , 31 , 29 , 22

Add up the numbers =28 + 26 + 22 + 30 + 29 + 25 + 28 + 31 + 29 + 22 = 270

Divide by how many numbers (there are 10 numbers): 270/10 = 27

The Mean is 27.

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                                    MEDIAN

In that case we find the middle pair of numbers, and then find the value that is half way between them. This is easily done by adding them together and dividing by two

• The given numbers:

        28 , 26 , 22 , 30 , 29 , 25 , 28 , 31 , 29 , 22

• When we put those numbers in order we have:

         22 , 22 , 25 , 26 , 28 , 28 , 29 , 29 , 30 , 31

• There are now ten numbers and so we don't have just one middle number, we have a pair of middle numbers:

          22 , 22 , 25 , 26 , 28 , 28 , 29 , 29 , 30 , 31

• In this example, the middle numbers are 28 and 28.  We can easily say that the median now, should be 28.

      WE CAN PROOF IT BY:

• To find the value halfway between them, add them together and divide by 2:

         28 + 28 = 56

        then 56 ÷ 2 = 28

So the Median in this example is 28.

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                                   MODE

• To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

        28 , 26 , 22 , 30 , 29 , 25 , 28 , 31 , 29 , 22

• In order these numbers are:

       22 , 22 , 25 , 26 , 28 , 28 , 29 , 29 , 30 , 31

• This makes it easy to see which numbers appear most often.

• 22 appears two times, so does 28 and 29.

So there are two modes: at 22 , 28 and 29.

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                         RANGE OF DATA

• The Range is the difference between the lowest and highest values.

• In {28 , 26 , 22 , 30 , 29 , 25 , 28 , 31 , 29 , 22} the lowest value is 22, and the highest is 31.

       So the range is = 31 - 28 = 19.

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It is that simple!

But perhaps too simple ^-^

Please mark me as the brainliest if it helped :)

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