Answer: The distribution of the data set is positively skewed.
<u>Explanation: </u>
In order to see whether the given data set is symmetric, positively skewed or negatively skewed, we will find the mean, median and mode of the given data set.
For symmetric distribution,
For positively skewed distribution,
For negatively skewed distribution,
The mean of the given data set is given below:
Now, the Median is:
To find the median we need to sort the data in ascending order as:
The mode is the most frequently occurring observation. Therefore the mode is:
Since the , therefore the distribution of the given data set is positively skewed.
1) 1 -4 2 3
1. 1. -3 -1
-3 -1. 2
remainder is 2
<u>Answer</u>
<em>12 in by 12 in</em>
<u>Explanation</u>
The original length = x
This makes the length of the cube made to be = x - (2×2)
= (x - 4) in
height of the cube = 2 in
Volume of the cube = (x - 4) × (x - 4) × 2 = 128
= (x² - 8x + 16) × 2 = 128
= 2x² - 16x + 32 = 128
= 2x² - 16x + 32- 128=0
= 2x² - 16x - 96 = 0
= x² - 8x - 48 = 0
lets use the factor method to solve the quadrilatic equation above,
x² - 8x - 48 = 0
proctuct = -48
sum = -8
The two factors are; -12 and 8.
(x + 8)(x - 12) = 0
So the value of x are 12 and -8. Since x is a length, it can not be negative.
∴ x = 12 in.
The original dimensions of the sheet are <em>12 in by 12 in</em>.