A. Median
B. First quartile
C. Mean
D. Third quartile
E. Smallest and largest values
Choose the correct answer from the options given below:
Five Number Summary in Exploratory Data Analysis
Exploratory Data Analysis (EDA) often uses a concise summary to understand data distribution. The standard **five number summary** provides a quick overview by identifying five key values:
- Minimum value (Smallest value)
- First Quartile (Q1)
- Median (Q2)
- Third Quartile (Q3)
- Maximum value (Largest value)
Identifying Components
Based on the definition of the five number summary:
- A. Median: Included. It represents the middle value (Q2).
- B. First Quartile: Included. It represents the 25th percentile (Q1).
- C. Mean: Not included. The mean is the average and is sensitive to outliers, unlike the median and quartiles which are measures of position.
- D. Third Quartile: Included. It represents the 75th percentile (Q3).
- E. Smallest and largest values: Included. These represent the Minimum and Maximum values.
Conclusion
The components used in the five number summary are the Median (A), First Quartile (B), Third Quartile (D), and the Smallest and Largest values (E). Therefore, the correct option includes A, B, D, and E.
Important Questions from Measures of Central Tendency
What is the median of the following data?
24, 30, 40, 80, 15, 57, 78, 82, 39, 97, 82- The Geometric mean of four numbers 2, X, 16, 32 is 8. What is the value of X ?
- If mean = 28 and mode = 25, the value of median will be :
- Given arithmetic mean = 45, mode = 48, then median =
- Assertion (A) : Geometric mean is theoretically considered as the best average to construct index numbers.
Reason (R) : Geometric mean is used if the range of observations is extremely large.
Codes :
