Question

Math test anxiety can be found throughout the general population. A study of 250 seniors at a local high school was conducted. The following table was produced from the data. Complete the missing parts.

Score Range	Frequency	Relative Frequency	Cumulative Relative Frequency
Very anxious		0.24
Anxious			0.40
Mildly anxious
Generally relaxed	35
Very relaxed		0.18

i need step and method for the solution of the problem

Answer 1

Given that, total frequency = 250

Relative frequency = Frequency / Total Frequency

Relative frequency for "Generally relaxed" = 35/250 = 0.14

Cumulative relative frequency for "very anxious" = 0.24

Now, relative frequency for "Anxious" = 0.40 - 0.24 = 0.16

relative frequency for "Mildly anxious" = 1 - [0.24 + 0.16 + 0.14 + 0.18] = 1 - 0.72 = 0.28

And

Frequency for "Very anxious" = 250 * 0.24 = 60

Frequency for "Anxious" = 250 * 0.16 = 40

Frequency for "Mildly anxious" = 250 * 0.28 = 70

Frequency for "Very relaxed" = 250 - [60 + 40 + 70 + 35] = 250 - 205 = 45

Cumulative relative frequency for "Mildly anxious" = 0.40 + 0.28 = 0.68

Cumulative relative frequency for "Generally relaxed" = 0.68 + 0.14 = 0.82

Cumulative relative frequency for "Very relaxed" = 0.82 + 0.18 = 1

Therefore , complete table as follows :

Score Range	Frequency	Relative Frequency	Cumulative Relative Frequency
Very anxious	60	0.24	0.24
Anxious	40	0.16	0.40
Mildly anxious	70	0.28	0.68
Generally relaxed	35	0.14	​​​​​​0.82
Very relaxed	45	0.18	1
Total	250