Question

for the data . frequency

2.50 - 3.50 4

3.50 - 4.50 7

4.50 - 5.50 . 8

5.50 - 6.50 4

6.50 - 7.50   2

estimate the medial and mode. is this distributition symmetrical or skewed? why
what percent of the observations fall within two sntandard deviations from the mean?

Answer 1

The histogram is:

The data is roughly symmetrical.

Class limit	f	x	x*f	x²*f
2.5-3.5	4	3	12	36
3.5-4.5	7	4	28	112
4.5-5.5	8	5	40	200
5.5-6.5	4	6	24	144
6.5-7.5	2	7	14	98
Total	25		118	590
	Mean	4.72
	Median	5
	Mode	5
	Standard Deviation	1.15

95% of the observations fall within two standard deviations from the mean.