Answer:
= n² - 2
Step-by-step explanation:
Consider the differences between the values
- 1 , 2 , 7 , 14 , 23
3 5 7 9 ← not constant
Now consider the difference of these differences
3 , 5 , 7 , 9
2 2 2 ← constant
Since the second differences are constant, this indicates a quadratic n²
Now consider the position values of n
n = 1 : 1² = 1 ← require to subtract 2 for - 1
n = 2 : 2² = 4 ← require to subtract 2 for 2
n = 3 : 3² = 9 ← require to subtract 2 for 7
n = 4 : 4² = 16 ← require to subtract 2 for 14
n = 5 : 5² = 25 ← require to subtract 2 for 23
Thus n th term formula is
= n² - 2
The standard deviation is 1.98. Option A is correct.
The standard deviation formula is given as
where:
- SS is the sum of squares = 200
- n is the sample size = 51
Substitute the given parameters into the formula to have:

Hence the standard deviation is 1.98
Learn more on standard deviation here: brainly.com/question/12402189
Answer:
x = 95
Step-by-step explanation:
Given that,
Jax scores on the last 5 tests are 78,92,86,94,95.
We need to find the score he need to have an average of 90.
The formula for average of few number is given by :
Average = sum of observations/total no of observation
Let he score x in test 6. So,

So, he must score 95 in the next test so that its average is 90.
The answer is 6/21 is not in its simplest form as you can still divide them both by 3