Explanation
Part A
We can use the formula below to find the mean.
![\text{Mean}=\sum ^{}_{}(\frac{fx}{f})](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D%5Csum%20%5E%7B%7D_%7B%7D%28%5Cfrac%7Bfx%7D%7Bf%7D%29)
We will then have;
![\begin{gathered} \text{Mean = }\frac{5\times3+4\times1+5\times1+6\times2+7\times2+8\times4+9\times3+10\times1}{19}=\frac{15+4+5+12+14+32+27+10}{19} \\ =\frac{119}{19}=6.2632 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BMean%20%3D%20%7D%5Cfrac%7B5%5Ctimes3%2B4%5Ctimes1%2B5%5Ctimes1%2B6%5Ctimes2%2B7%5Ctimes2%2B8%5Ctimes4%2B9%5Ctimes3%2B10%5Ctimes1%7D%7B19%7D%3D%5Cfrac%7B15%2B4%2B5%2B12%2B14%2B32%2B27%2B10%7D%7B19%7D%20%5C%5C%20%3D%5Cfrac%7B119%7D%7B19%7D%3D6.2632%20%5Cend%7Bgathered%7D)
Mean = 6.2632
Part B
Since the data set is odd.
![\begin{gathered} \text{Median}=\frac{(n+1)}{2}^{th}\text{observation} \\ =\text{Value of }\frac{\text{(19+1)}}{2}^{th}\text{observation} \\ =\text{value of 10th observation} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BMedian%7D%3D%5Cfrac%7B%28n%2B1%29%7D%7B2%7D%5E%7Bth%7D%5Ctext%7Bobservation%7D%20%5C%5C%20%3D%5Ctext%7BValue%20of%20%7D%5Cfrac%7B%5Ctext%7B%2819%2B1%29%7D%7D%7B2%7D%5E%7Bth%7D%5Ctext%7Bobservation%7D%20%5C%5C%20%3D%5Ctext%7Bvalue%20of%2010th%20observation%7D%20%5Cend%7Bgathered%7D)
Answer: From the column of cumulative frequency cf, the median is 7
Answer:
+8, -4, +2
Step-by-step explanation:
The pattern rule is every other number is negative and it alternates. It would be plus, minus, plus, minus, and keep that going. The second part to the pattern rule is the next number is half of the previous. So 32 was half of 64, 16 was half of 32 so now 8 is half of 16, 4 is half of 8, and 2 is half of 4. Keep the + - + - + - pattern too.
![\bold{\text{Answer:\qquad }b)\quad \bigg(\dfrac{1}{2},-2\bigg)}](https://tex.z-dn.net/?f=%5Cbold%7B%5Ctext%7BAnswer%3A%5Cqquad%20%7Db%29%5Cquad%20%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%2C-2%5Cbigg%29%7D)
<u>Step-by-step explanation:</u>
The vertex form of an absolute value equation is:
where
(h, k) is the vertex. In the given equation,
, the h-value is 1/2 and the k-value is -2.
So, the vertex (h, k) = (1/2, -2)
C. 1/5
because you multiple it times 5 every time
If you had 25 buttons ( red coloured) and 77 buttons (blue coloured). Half of the blue ones melted due to a supernova in the Atlantic ocean. Multiply red and blue buttons :)