The ages (in years) of eight passengers on a bus are listed below.
2 answers:
Answer: median
Step-by-step explanation: Statistical Mathematics
- First, we re-arrange the given data in ascending or descending order.
- Then we count the no. of data (here 8).
- If the data given is odd in count then the middle value of the arranged data is the median.
- but if the case is of even no. of data then we take the average of the two middle values of the arranged data.
7, 10, 16, 21, 26, 30, 40, 43
Here we have an even number of the data entries so we get two values in the mid.
Now take the average of those mid values:
<h2>- Subtract the least value from the greatest value to find the range.
- For midrange add together the greatest value and the least value and divide by 2.
- Mean is the average of all the values.
- Mode is the value that occurs the most number of times.
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Answer:
k = - , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2