ELEMENTARY STATISTICS LATEST UPDATED 2026 EDITION
FINAL EXAM WITH 100 COMPLETE DETAILED QUESTIONES
AND 100% CORRECT VERIFIED ANSWERS ALREADY GRADED A+
BRAND NEW!!!
1. What is the mean of the following data set: 4, 8, 6, 5, 3?
A) 5.0
B) 5.2
C) 5.5
D) 6.0
CORRECT ANSWER: B – 5.2. Rationale: Mean = (4+8+6+5+3)/5 = 26/5 =
5.2.
2. The median of the data set 12, 15, 11, 19, 14, 13 is:
A) 13.0
B) 13.5
C) 14.0
D) 14.5
CORRECT ANSWER: B – 13.5. Rationale: Sorted: 11,12,13,14,15,19.
Median = average of 13 and 14 = 13.5.
,3. For a symmetric distribution, the mean, median, and mode are:
A) Equal
B) Mean > median > mode
C) Mode > median > mean
D) Not related
CORRECT ANSWER: A – Equal. Rationale: In a perfectly symmetric
(normal) distribution, mean = median = mode.
4. The mode of the data set 2, 3, 5, 3, 7, 3, 8 is:
A) 2
B) 3
C) 5
D) 7
CORRECT ANSWER: B – 3. Rationale: Mode is the most frequent value; 3
appears three times.
5. What is the range of 5, 12, 8, 20, 15?
A) 10
B) 12
C) 15
,D) 20
CORRECT ANSWER: C – 15. Rationale: Range = max – min = 20 – 5 = 15.
6. The variance of a sample is defined as the average of the squared
deviations from the mean divided by:
A) n
B) n – 1
C) n + 1
D) n – 2
CORRECT ANSWER: B – n – 1. Rationale: Sample variance uses (n-1) for
degrees of freedom to produce an unbiased estimate of population
variance.
7. If the standard deviation of a data set is 4, the variance is:
A) 2
B) 4
C) 8
D) 16
CORRECT ANSWER: D – 16. Rationale: Variance = (standard deviation)²
= 4² = 16.
, 8. A data set has a mean of 50 and a standard deviation of 5. The
coefficient of variation (CV) is:
A) 5%
B) 10%
C) 50%
D) 100%
CORRECT ANSWER: B – 10%. Rationale: CV = (σ/μ) × 100% =
(5/50)×100% = 10%.
9. Which measure of central tendency is most affected by outliers?
A) Median
B) Mode
C) Mean
D) Midrange
CORRECT ANSWER: C – Mean. Rationale: The mean uses all values, so
extreme outliers pull it significantly; median and mode are resistant.
10. The interquartile range (IQR) measures:
A) The spread of the middle 50% of data
B) The total range
FINAL EXAM WITH 100 COMPLETE DETAILED QUESTIONES
AND 100% CORRECT VERIFIED ANSWERS ALREADY GRADED A+
BRAND NEW!!!
1. What is the mean of the following data set: 4, 8, 6, 5, 3?
A) 5.0
B) 5.2
C) 5.5
D) 6.0
CORRECT ANSWER: B – 5.2. Rationale: Mean = (4+8+6+5+3)/5 = 26/5 =
5.2.
2. The median of the data set 12, 15, 11, 19, 14, 13 is:
A) 13.0
B) 13.5
C) 14.0
D) 14.5
CORRECT ANSWER: B – 13.5. Rationale: Sorted: 11,12,13,14,15,19.
Median = average of 13 and 14 = 13.5.
,3. For a symmetric distribution, the mean, median, and mode are:
A) Equal
B) Mean > median > mode
C) Mode > median > mean
D) Not related
CORRECT ANSWER: A – Equal. Rationale: In a perfectly symmetric
(normal) distribution, mean = median = mode.
4. The mode of the data set 2, 3, 5, 3, 7, 3, 8 is:
A) 2
B) 3
C) 5
D) 7
CORRECT ANSWER: B – 3. Rationale: Mode is the most frequent value; 3
appears three times.
5. What is the range of 5, 12, 8, 20, 15?
A) 10
B) 12
C) 15
,D) 20
CORRECT ANSWER: C – 15. Rationale: Range = max – min = 20 – 5 = 15.
6. The variance of a sample is defined as the average of the squared
deviations from the mean divided by:
A) n
B) n – 1
C) n + 1
D) n – 2
CORRECT ANSWER: B – n – 1. Rationale: Sample variance uses (n-1) for
degrees of freedom to produce an unbiased estimate of population
variance.
7. If the standard deviation of a data set is 4, the variance is:
A) 2
B) 4
C) 8
D) 16
CORRECT ANSWER: D – 16. Rationale: Variance = (standard deviation)²
= 4² = 16.
, 8. A data set has a mean of 50 and a standard deviation of 5. The
coefficient of variation (CV) is:
A) 5%
B) 10%
C) 50%
D) 100%
CORRECT ANSWER: B – 10%. Rationale: CV = (σ/μ) × 100% =
(5/50)×100% = 10%.
9. Which measure of central tendency is most affected by outliers?
A) Median
B) Mode
C) Mean
D) Midrange
CORRECT ANSWER: C – Mean. Rationale: The mean uses all values, so
extreme outliers pull it significantly; median and mode are resistant.
10. The interquartile range (IQR) measures:
A) The spread of the middle 50% of data
B) The total range
