Question

X f per

0 14 9.33

2 23 15.33

4 37 24.67

6 36 24.00

8 22 14.67

10 18 12.00

PLEASE SHOW WORK

What is the skew of the distribution? How did you determine this?

Answer 1

The given data is:

x	f	per
0	14	9.33
2	23	15.33
4	37	24.67
6	36	24
8	22	14.67
10	18	12
Total	150	100

To determine the skew of the distribtion, calculate mean, and mode.

The calculation shown in the below mentioned table:

x	f	f⋅x
0	14	2
2	23	46
4	37	148
6	36	216
8	22	176
10	18	180
Total	150	766

Calculate Mean:

Calculate Mode:

In the column f, the maximum frequency is 37 which is corresponding to 4 in the ‘x’ column.

Hence, the mode is 4.

Since, the Mean =5.1067 is greater than mode = 4, so the skew of the distribution is positive.