Answer:
y = 2
Step-by-step explanation:
For the exponential function in the form
y = a
Use ordered pairs from the table to find a and b
Using (0, 2 ), then
2 = a (
= 1 ) , thus
a = 2, so
y = 2
Using (1, 6 ) , then
6 = 2b ( divide both sides by 2 )
b = 3
Thus the exponential function is
y = 2
Answer:
μ = 235.38
σ = 234.54
Step-by-step explanation:
Assuming the table is as follows:
This is an example of grouped data, where a range of values is given rather than a single data point. First, find the total frequency.
n = 339 + 86 + 55 + 18 + 11 + 8 + 3
n = 520
The mean is the expected value using the midpoints of each range.
μ = (339×100 + 86×300 + 55×500 + 18×700 + 11×900 + 8×1100 + 3×1300) / 520
μ = 122400 / 520
μ = 235.38
The variance is:
σ² = [(339×100² + 86×300² + 55×500² + 18×700² + 11×900² + 8×1100² + 3×1300²) − (520×235.38²)] / (520 − 1)
σ² = 55009.7
The standard deviation is:
σ = 234.54
