Question

Given the following cumulative frequency table, what is the mean of the distribution?

Answer 1

Answer:

4.9

Step-by-step explanation:

Let us first find the frequency from the cumulative frequency.

Starting number is same.

To find the next number subtract the previous number from that number.

i.e first number = 0.15

Second number = 0.45 – 0.15 = 0.3

Third number = 0.60 – 0.45 = 0.15

Fourth number = 0.85 – 0.60 = 0.25

Fifth number = 1.00 – 0.85 = 0.15

Value   Frequency     Value × Frequency

   1               0.15                        0.15

   3               0.3                         0.9

   5               0.15                       0.75

   7               0.25                       1.75

   9               0.15                        1.35

Number of frequency = 1

Total value = 0.15 + 0.9 + 0.75 + 1.75 + 1.35 = 4.9

Mean = $\frac{\text { Total value }}{\text { Number of frequency }}=\frac{4.9}{1}$ = 4.9