Chapter MCQ Test 2 — Measures of Central Tendency
10 Questions • 12 min • Chapter MCQ
12:00
Question 1 of 10
Five workers earn ₹200, ₹250, ₹300, ₹350 and ₹3900. Why does the mean (₹1000) mislead here?
One extreme value (₹3900) pulls the mean far above the typical wage
The mean is always wrong
There are too few values
Wages cannot be averaged
Explanation: The single very high wage inflates the mean, so it no longer represents the typical worker — the median (₹300) is better.
Question 2 of 10
For the wages in the previous question, the median is:
₹300
₹1000
₹3900
₹250
Explanation: Arranged, the middle (3rd of 5) value is ₹300 — unaffected by the extreme ₹3900.
Question 3 of 10
A subject with 4 credits scores 70 and a subject with 1 credit scores 95. The weighted mean is:
75
82.5
70
95
Explanation: ΣWX ÷ ΣW = [(70×4)+(95×1)] ÷ 5 = (280+95)/5 = 375/5 = 75.
Question 4 of 10
A shopkeeper wants to stock the most-demanded shirt size. The most useful average is the:
Mode
Mean
Median
Range
Explanation: The mode shows the size that sells most often — exactly what stocking decisions need.
Question 5 of 10
A distribution has Mean = 50 and Mode = 44. Using the empirical relation, the median is about:
48
44
50
94
Explanation: Mode = 3 Median − 2 Mean → 44 = 3M − 100 → 3M = 144 → Median = 48.
Question 6 of 10
For an income group given as 'above ₹1,00,000' (open-ended), the mean cannot be found, so we use the:
Median
Arithmetic mean
Weighted mean
Sum
Explanation: With an open-ended class there is no mid-value to multiply, so the positional median is used.
Question 7 of 10
The mean is preferred for further statistical calculations mainly because it:
Uses every value in the data
Ignores extreme values
Is always a whole number
Needs no data
Explanation: Because every observation enters the mean, it is algebraically convenient for further analysis.
Question 8 of 10
Data 5, 5, 7, 9, 9 has two modes (5 and 9). Such a distribution is called:
Bimodal
Unimodal
Symmetrical
Open-ended
Explanation: Two modes make the distribution bimodal.
Question 9 of 10
If every value in a data set occurs exactly once, the data have:
No mode
One mode
Two modes
An infinite mode
Explanation: With no repetition, there is no most-frequent value, so there is no mode.
Question 10 of 10
Adding ₹100 to every worker's wage raises the mean wage by:
₹100
₹0
depends on N
₹100 × N
Explanation: Adding a constant to every value raises the mean by exactly that constant (₹100).