Data Interpretation Questions and Answers
Practice ModeShowing 10 of 29 questions
Q11
In a histogram, the class interval 20-30 has frequency 15. If the class width is 10, what is the frequency density?
Answer: Option B
Explanation: Frequency density = Frequency / Class width = 15 / 10 = 1.5
Q12
The mean of 10 numbers is 35. If each number is increased by 5, what is the new mean?
Answer: Option C
Explanation: When each number is increased by constant k, mean also increases by k. So new mean = 35 + 5 = 40.
Q13
A scatter plot shows positive correlation between X and Y. If X increases, what happens to Y?
Answer: Option B
Explanation: Positive correlation means when one variable increases, the other also increases. So when X increases, Y also increases.
Q14
In a cumulative frequency curve, the median corresponds to which cumulative frequency value?
Answer: Option B
Explanation: Median corresponds to N/2th value in cumulative frequency, where N is total frequency.
Q15
The range of data set 12, 15, 18, 22, 25, 30 is:
Answer: Option B
Explanation: Range = Maximum value - Minimum value = 30 - 12 = 18
Q16
If mode of data is 25 and mean is 30, what can be said about the distribution?
Answer: Option B
Explanation: When mode < mean, the distribution is positively skewed (right-skewed).
Q17
In a time series graph, the seasonal variation component typically shows pattern repeating every:
Answer: Option C
Explanation: Seasonal variations are short-term fluctuations that repeat regularly within a period of one year or less.
Q18
The quartile deviation is also known as:
Answer: Option C
Explanation: Quartile deviation = (Q3 - Q1)/2, which is also called semi-interquartile range.
Q19
If correlation coefficient r = 0.9, what is the strength of relationship?
Answer: Option C
Explanation: Correlation coefficient |r| > 0.7 indicates strong correlation. 0.9 is very strong positive correlation.
Q20
In a frequency distribution, if mean = 22 and median = 20, what is the approximate mode?
Answer: Option A
Explanation: Using empirical relation: Mode = 3Median - 2Mean = 3(20) - 2(22) = 60 - 44 = 16