Online Test — Measures of Central Tendency
15 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 15
A single value that represents the whole data is a measure of:
Dispersion
Central tendency
Correlation
Frequency
Explanation: An average is a measure of central tendency.
Question 2 of 15
The arithmetic mean is found by:
ΣX ÷ N
Middle value
Most frequent value
Highest − lowest
Explanation: Mean = sum of values ÷ number of values.
Question 3 of 15
The arithmetic mean of 10, 20, 30, 40 is:
20
25
30
100
Explanation: (10+20+30+40) ÷ 4 = 100 ÷ 4 = 25.
Question 4 of 15
The weighted mean is calculated as:
ΣWX ÷ ΣW
ΣX ÷ N
ΣW ÷ ΣX
ΣX × ΣW
Explanation: Weighted mean = ΣWX ÷ ΣW.
Question 5 of 15
The biggest drawback of the arithmetic mean is that it is:
Affected by extreme values
Hard to define
Never representative
Always negative
Explanation: Extreme values distort the mean.
Question 6 of 15
The middle value of ordered data is the:
Mean
Median
Mode
Range
Explanation: The median is the middle value of ordered data.
Question 7 of 15
For an odd number N of values, the median is the value at position:
N ÷ 2
(N+1) ÷ 2
N − 1
2N
Explanation: For odd N, median position = (N+1) ÷ 2.
Question 8 of 15
The median of 2, 4, 6, 8 (even N) is:
4
5
6
20
Explanation: Average of the two middle values (4 and 6) = 5.
Question 9 of 15
The median is NOT affected by:
Extreme values
The middle position
Ordering
The data
Explanation: Being positional, the median is unaffected by extreme values.
Question 10 of 15
The most frequently occurring value is the:
Mean
Median
Mode
Range
Explanation: The mode is the most frequently occurring value.
Question 11 of 15
The mode of 1, 2, 2, 3, 3, 3, 4 is:
1
2
3
4
Explanation: 3 occurs most often (three times).
Question 12 of 15
Which average can be found even for qualitative data (e.g. popular colour)?
Mean
Mode
Geometric mean
Weighted mean
Explanation: The mode works for qualitative data.
Question 13 of 15
For a symmetrical distribution, mean, median and mode are:
Equal
Always different
Zero
Negative
Explanation: They coincide in a symmetrical distribution.
Question 14 of 15
The empirical relation among the averages is:
Mode = 3 Median − 2 Mean
Mean = Mode + Median
Median = Mean × Mode
Mode = Mean ÷ 2
Explanation: Mode = 3 Median − 2 Mean (for moderately skewed data).
Question 15 of 15
To find the average income where a few people earn very high amounts, the best average is the:
Mean
Median
Sum
Range
Explanation: The median avoids distortion by the few very high incomes.