How many deciles are more than 50 percentiles? Options a) 1 b)2 c) 4 d...
Ans:4
deciles divide given variate value into 10 equal parts
There are 9 deciles value I.e D1,D2 to D9
Percentile P50 = Decile D5
The remaining deciles are D6,D7,D8,D9
How many deciles are more than 50 percentiles? Options a) 1 b)2 c) 4 d...
Answer:
Introduction:
In statistics, deciles and percentiles are used to determine the position of a particular data point in a data set. Deciles divide the data set into 10 equal parts, whereas percentiles divide the data set into 100 equal parts.
Explanation:
To answer the given question, we need to understand that 50th percentile is the median of the data set. Therefore, any decile greater than the median is greater than the 50th percentile. Thus, we need to determine the number of deciles that are greater than 50th percentile.
Calculation:
We know that the number of deciles in a dataset is 10, and the 5th decile is the median, which is equivalent to the 50th percentile. Therefore, we need to determine the number of deciles greater than the 5th decile or the 50th percentile.
Since the data set is divided into 10 equal parts or deciles, the 6th decile is greater than the 50th percentile. Similarly, the 7th, 8th, 9th and 10th deciles are also greater than the 50th percentile.
Therefore, the answer to the given question is option (c) 4.
Conclusion:
In conclusion, the number of deciles greater than the 50th percentile is 4. This is because the data set is divided into 10 equal parts or deciles, and the 6th, 7th, 8th, 9th and 10th deciles are all greater than the 50th percentile.