20 kg is about twent two (22) pounds
Step by step:A prediction is basically an educated guess and if you are looking for the exact word to describe that you would find that hypothesis is the correct way to tell what is a prediction.
Answer:B
The correct answer will be option C. Mode.
Mode is the most frequently occurring value of the data. From the above line plot we can see that the most frequently occurring value is 3. Even if 10 is removed from the line plot, 3 will still be the most frequently occurring value and will be the mode of the data. Thus removing 10 does not changes the mode of the data at all.
The mean will obviously be changed. The range is difference of maximum and minimum value. 10 was initially the maximum value. If 10 is removed, the maximum value will change and so does the Range of the data. Removing 10 changes the total number of data values, so the position of median also changes which changes the value of Median.
Therefore, the correct answer to this question is option C
Very nice handwriting but the math and English are confusing.
Let's assume we're told
![\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2](https://tex.z-dn.net/?f=%5Cdisplaystyle%2045%20%3D%20%5Csum_%7Bi%3D1%7D%5E9%20%28x_i%20-%2010%29%5E2%20)
The subscript is important.
I think we're told the similar sum with 11 gives the smallest possible value for the sum. This is a rather cagey way of telling us 11 is the mean of the nine points. The mean is the number which minimizes the sum of squared deviations.
![\displaystyle 45 = \sum_{i=1}^9 (x_i - 10)^2 = \sum x_i^2 - 20 \sum x_i + 9(100)](https://tex.z-dn.net/?f=%5Cdisplaystyle%2045%20%3D%20%5Csum_%7Bi%3D1%7D%5E9%20%28x_i%20-%2010%29%5E2%20%3D%20%5Csum%20x_i%5E2%20-%2020%20%5Csum%20x_i%20%2B%209%28100%29)
![\displaystyle \sum x_i^2= 20 \sum x_i - 900](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Csum%20x_i%5E2%3D%20%2020%20%5Csum%20x_i%20%20-%20900)
If 11 is the mean, the sum of the points is 9(11)=99.
![\displaystyle \sum x_i^2= 20 (99) - 900 = 1080](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%20%5Csum%20x_i%5E2%3D%20%2020%20%2899%29%20%20-%20900%20%3D%201080)
Answer: 1080