Question

question #3
what is the missing value of the bell curve below?
38 41 ? 47 50 53 56
46
44
43
45
question #4
what is the missing value on the bell curve below?
38 41 44 47 50 53 ?
56
54
57
55

Explanation:

Step1: Find the common difference

In a normal distribution (bell - curve), the data is evenly spaced. Looking at the known values \(38,41\), the common difference \(d=41 - 38=3\).

Step2: Calculate the missing value for Question #3

If the common difference \(d = 3\), and we know one value is \(41\) and the next non - missing value is \(47\). Let the missing value be \(x\). Using the formula for an arithmetic sequence \(a_{n}=a_{1}+(n - 1)d\). Since \(41\) is \(a_{1}\), \(x=a_{2}\), \(47=a_{3}\). We can also calculate \(x\) as \(41+3 = 44\).

Step3: Calculate the missing value for Question #4

Using the common difference \(d = 3\). The last non - missing value is \(53\). Let the missing value be \(y\). Then \(y=53 + 3=56\)

Answer:

Question #3: \(44\)
Question #4: \(56\)