Measurement of Central Tendency Pretest

3. Find the Value of x in the data.

10, 12, 6, 6, 14, x, 8, 10, 12, 12, 8, 14

First, I arranged the data above in ascending order! Like shown below:

6, 6, 8,8,10,10,12,12,12,14,14, X

A) If the mean is 10. X= 8

Remember mean is also called an average. To get the mean you add up all the numbers in your data set(sum of all DATA). Then divide the sum of all data by the number of pieces of data( numbers) you used.

6+6+8+8+10+10+12+12+12+14+14+X

_____________________________________ = 10

12

6+6+8+8+10+10+12+12+12+14+14 = 112

Remember 10 x 12 is 120 so the sum of all data is 120.

120 - 112 = 8 so the x is 8

6+6+8+8+8+10+10+12+12+12+14+14
__________________________________ = 10
12

There is only one aswer to this question because 120- 112 is 8 and it couldn't be any other number.

B) If the mode is 12. X= 12

6, 6, 8, 8, 10, 10, 12, 12, 12, 12, 14, 14,

* 12 can be the x because if you add a 12, the mode will still be 12 because 12 is the data that appears the most.

There are other answer to this question but you have to make sure the more is 12. Your x could be 1, 2, 3, 4, 5, 7, 9, 11, 12, 13, 15 and so on. Your answer can't be 6, 8, 10 or 14 because they would become the mode since there are 2 datas of 6, 8, 10 and 14 and if you add 1 there would be 3 datas and 12 wouldn't be the mode anymore.

C) If the median is 11.Is there more than one possible answer for each question?

x = 14

6, 6, 8, 8, 10, 10, 12, 12, 12, 12, 14, 14, 14

10 and 12 are the middle 10 +12 = 22 / 2 = 11

There could be other answers to this question but your answer has to be higher than 12 because if you put a lower number the median won't be 11. Your answer could be a 12, 13, 14 and so on but make sure it is higher than 12.

If I made a mistake please kindly tell me so I could change it thank you!!

THYRZA MAY

8-41