Question

During an academic year, new clients at a university counseling center were recruited to par­ticipate in this study. All new clients requesting individual counseling services were eligible to par­ticipate. Ninety-four new clients (the majority of new clients at the center) agreed to participate.... The ages of the participants ranged from 18 years to 47 years (Mdn = 21.00, M= 22.4...).

Table 1 presents a frequency distribution of counseling duration. Participants completed from 1 to 28 sessions (Mdn = 3.0, M= 4.6...). As evident in the table, most participants completed a rela­tively small number of sessions

Table 1 Frequency Distribution of Counseling Duration
No. of sessions completed	f	%	Σ%
1-3	54	57.4	57.4
4-6	22	23.4	80.8
7-9	8	8.5	89.3
10-12	4	4.3	93.6
14-17	3	3.2	96.8
18-28	3	3.2	100.0

Note. Mdn = 3, Mode = 1, M= 4.6

The footnote to the table states: "Mode = 1." What does this mean?

What is the median age of the clients?

Answer 1

Solution:

1) Mod is defined as follows:

In the given date set mode is that value which occured most frequently in the data set.

The footnote to the table states that "mode = 1".

In the table frequency distribution of counseling duration is given. Hence, "Mode = 1" means that the number of sessions which was completed by most number of students is 1.

2) The median age of the clients is 21 years. This value is given in the question itself (Mdn = 21.00).