CNSL 503 STATISTICS EXAM 1
ACTUAL EXAM 2026/2027 | Graduate
Counseling Statistics | Practice Test |
Verified Q&A | Pass Guaranteed - A+
Graded
SECTION 1: INTRODUCTION TO STATISTICS & RESEARCH
METHODS (15 Questions)
Q1: A counseling researcher is studying the effectiveness of a new trauma-informed therapy
approach by randomly selecting 50 clients from all clients who received treatment at a
university counseling center in 2024. The average reduction in PTSD symptoms for these 50
clients is calculated as 12.5 points. In this study, what represents the parameter?
A. The 12.5-point average reduction in PTSD symptoms
B. The 50 clients randomly selected for the study
C. The average reduction in PTSD symptoms for all clients who received treatment at the
center [CORRECT]
D. The trauma-informed therapy approach being studied
Correct Answer: C
Rationale: A parameter is a numerical characteristic describing a population. Here, the
population is all clients who received treatment at the center, making their true average
symptom reduction the parameter. The 12.5-point average from the 50 selected clients is a
statistic (sample characteristic), not a parameter.
Q2: A graduate counseling student is designing a study to examine whether the number of
therapy sessions attended (measured as 0-5, 6-10, 11-15, 16+) predicts client-reported life
satisfaction scores. What type of variable is "number of therapy sessions attended"?
,A. Ratio variable
B. Interval variable
C. Ordinal variable [CORRECT]
D. Nominal variable
Correct Answer: C
Rationale: The number of sessions is categorized into ordered ranges (0-5, 6-10, etc.),
indicating rank order without equal intervals between categories. This makes it ordinal. While
session count could be ratio if measured as exact numbers, the grouped format creates
unequal intervals and unknown exact values within ranges.
Q3: A researcher reports that clients who received cognitive-behavioral therapy (CBT) showed
significantly lower anxiety scores than those who received person-centered therapy. Based on
this finding alone, which conclusion is NOT warranted?
A. CBT causes lower anxiety than person-centered therapy [CORRECT]
B. There is a relationship between therapy type and anxiety levels
C. Clients in the CBT group had lower mean anxiety scores
D. The difference between groups was unlikely due to chance
Correct Answer: A
Rationale: Statistical significance indicates a relationship unlikely due to chance, but without
random assignment and experimental control, causation cannot be inferred. This study likely
used existing groups (quasi-experimental), making confounding variables (client severity,
motivation) alternative explanations for the difference.
Q4: In a counseling outcomes study, "therapeutic alliance rating" is measured on a scale from
0 (no alliance) to 10 (strong alliance) with equal intervals between numbers but no true zero
point indicating absence of the construct. This represents which measurement scale?
A. Nominal scale
B. Ordinal scale
C. Interval scale [CORRECT]
,D. Ratio scale
Correct Answer: C
Rationale: The scale has equal intervals (difference between 2-3 equals 7-8) but lacks a true
zero (0 indicates "no alliance" qualitatively, not absolute absence of the construct). This fits
interval scale definition. Ratio scales require true zeros where zero indicates complete
absence (e.g., 0 sessions attended).
Q5: A school counselor wants to describe the distribution of bullying incidents reported
across 15 elementary schools in her district last year. She calculates the mean, median, and
standard deviation of incidents per school. Which branch of statistics is she using?
A. Inferential statistics
B. Descriptive statistics [CORRECT]
C. Predictive statistics
D. Casual statistics
Correct Answer: B
Rationale: Descriptive statistics summarize and describe characteristics of a dataset without
making inferences beyond the data. Since the counselor is only describing her specific
district's 15 schools (the complete group of interest), not generalizing to other districts or
populations, she uses descriptive statistics.
Q6: Which of the following represents a continuous variable in counseling research?
A. Diagnostic category (anxiety, depression, trauma)
B. Number of children in a family (0, 1, 2, 3...)
C. Client satisfaction rating on a 1-10 scale [CORRECT]
D. Type of insurance coverage (private, public, none)
Correct Answer: C
Rationale: Continuous variables can take any value within a range, including decimals. While
ratings are often whole numbers, they theoretically represent points on a continuous
underlying construct (satisfaction) and could be measured with decimal precision (e.g., 7.5).
, Discrete variables (B) have distinct, separate values, while categorical variables (A, D) have
no numerical meaning.
Q7: A counseling researcher uses random assignment to place volunteer clients into either a
mindfulness-based stress reduction group or a waitlist control group, then compares
depression scores after 8 weeks. What type of research design is this?
A. Quasi-experimental design
B. Correlational design
C. True experimental design [CORRECT]
D. Ex post facto design
Correct Answer: C
Rationale: This is a true experimental design because it features: (1) random assignment to
conditions, (2) manipulation of the independent variable (mindfulness vs. waitlist), and (3)
comparison groups. Random assignment distinguishes true experiments from
quasi-experiments, allowing stronger causal inferences.
Q8: In a study examining the relationship between counselor empathy ratings and client
outcome scores, "counselor empathy" is the _______ variable and "client outcomes" is the
_______ variable.
A. Dependent; independent
B. Independent; dependent [CORRECT]
C. Confounding; control
D. Moderator; mediator
Correct Answer: B
Rationale: The independent variable (predictor) is the one hypothesized to influence or predict
the outcome, while the dependent variable is the outcome being measured. Here, empathy is
hypothesized to affect outcomes, making empathy independent and outcomes dependent.
This reflects the logical temporal/causal ordering in the research hypothesis.
ACTUAL EXAM 2026/2027 | Graduate
Counseling Statistics | Practice Test |
Verified Q&A | Pass Guaranteed - A+
Graded
SECTION 1: INTRODUCTION TO STATISTICS & RESEARCH
METHODS (15 Questions)
Q1: A counseling researcher is studying the effectiveness of a new trauma-informed therapy
approach by randomly selecting 50 clients from all clients who received treatment at a
university counseling center in 2024. The average reduction in PTSD symptoms for these 50
clients is calculated as 12.5 points. In this study, what represents the parameter?
A. The 12.5-point average reduction in PTSD symptoms
B. The 50 clients randomly selected for the study
C. The average reduction in PTSD symptoms for all clients who received treatment at the
center [CORRECT]
D. The trauma-informed therapy approach being studied
Correct Answer: C
Rationale: A parameter is a numerical characteristic describing a population. Here, the
population is all clients who received treatment at the center, making their true average
symptom reduction the parameter. The 12.5-point average from the 50 selected clients is a
statistic (sample characteristic), not a parameter.
Q2: A graduate counseling student is designing a study to examine whether the number of
therapy sessions attended (measured as 0-5, 6-10, 11-15, 16+) predicts client-reported life
satisfaction scores. What type of variable is "number of therapy sessions attended"?
,A. Ratio variable
B. Interval variable
C. Ordinal variable [CORRECT]
D. Nominal variable
Correct Answer: C
Rationale: The number of sessions is categorized into ordered ranges (0-5, 6-10, etc.),
indicating rank order without equal intervals between categories. This makes it ordinal. While
session count could be ratio if measured as exact numbers, the grouped format creates
unequal intervals and unknown exact values within ranges.
Q3: A researcher reports that clients who received cognitive-behavioral therapy (CBT) showed
significantly lower anxiety scores than those who received person-centered therapy. Based on
this finding alone, which conclusion is NOT warranted?
A. CBT causes lower anxiety than person-centered therapy [CORRECT]
B. There is a relationship between therapy type and anxiety levels
C. Clients in the CBT group had lower mean anxiety scores
D. The difference between groups was unlikely due to chance
Correct Answer: A
Rationale: Statistical significance indicates a relationship unlikely due to chance, but without
random assignment and experimental control, causation cannot be inferred. This study likely
used existing groups (quasi-experimental), making confounding variables (client severity,
motivation) alternative explanations for the difference.
Q4: In a counseling outcomes study, "therapeutic alliance rating" is measured on a scale from
0 (no alliance) to 10 (strong alliance) with equal intervals between numbers but no true zero
point indicating absence of the construct. This represents which measurement scale?
A. Nominal scale
B. Ordinal scale
C. Interval scale [CORRECT]
,D. Ratio scale
Correct Answer: C
Rationale: The scale has equal intervals (difference between 2-3 equals 7-8) but lacks a true
zero (0 indicates "no alliance" qualitatively, not absolute absence of the construct). This fits
interval scale definition. Ratio scales require true zeros where zero indicates complete
absence (e.g., 0 sessions attended).
Q5: A school counselor wants to describe the distribution of bullying incidents reported
across 15 elementary schools in her district last year. She calculates the mean, median, and
standard deviation of incidents per school. Which branch of statistics is she using?
A. Inferential statistics
B. Descriptive statistics [CORRECT]
C. Predictive statistics
D. Casual statistics
Correct Answer: B
Rationale: Descriptive statistics summarize and describe characteristics of a dataset without
making inferences beyond the data. Since the counselor is only describing her specific
district's 15 schools (the complete group of interest), not generalizing to other districts or
populations, she uses descriptive statistics.
Q6: Which of the following represents a continuous variable in counseling research?
A. Diagnostic category (anxiety, depression, trauma)
B. Number of children in a family (0, 1, 2, 3...)
C. Client satisfaction rating on a 1-10 scale [CORRECT]
D. Type of insurance coverage (private, public, none)
Correct Answer: C
Rationale: Continuous variables can take any value within a range, including decimals. While
ratings are often whole numbers, they theoretically represent points on a continuous
underlying construct (satisfaction) and could be measured with decimal precision (e.g., 7.5).
, Discrete variables (B) have distinct, separate values, while categorical variables (A, D) have
no numerical meaning.
Q7: A counseling researcher uses random assignment to place volunteer clients into either a
mindfulness-based stress reduction group or a waitlist control group, then compares
depression scores after 8 weeks. What type of research design is this?
A. Quasi-experimental design
B. Correlational design
C. True experimental design [CORRECT]
D. Ex post facto design
Correct Answer: C
Rationale: This is a true experimental design because it features: (1) random assignment to
conditions, (2) manipulation of the independent variable (mindfulness vs. waitlist), and (3)
comparison groups. Random assignment distinguishes true experiments from
quasi-experiments, allowing stronger causal inferences.
Q8: In a study examining the relationship between counselor empathy ratings and client
outcome scores, "counselor empathy" is the _______ variable and "client outcomes" is the
_______ variable.
A. Dependent; independent
B. Independent; dependent [CORRECT]
C. Confounding; control
D. Moderator; mediator
Correct Answer: B
Rationale: The independent variable (predictor) is the one hypothesized to influence or predict
the outcome, while the dependent variable is the outcome being measured. Here, empathy is
hypothesized to affect outcomes, making empathy independent and outcomes dependent.
This reflects the logical temporal/causal ordering in the research hypothesis.
