Posted by
Anjali Kaur
on
Aug 15, 2021
What are some important questions on Measures of Central Tendency?
In this post we will learn; What are some important questions on Measures of Central Tendency?
Q1. If in an asymmetrical distribution median is 28 and mean is 31. What will be the value of mode?
Solution:
Mode = 3 Median – 2 Mean
Mode = (3 x 28) – (2 x 31) = 84 – 62
Mode = 22
Q2. The mean of 10 items was 70. Later on it was found out that one item 92 was misread as 29. What was the correct mean?
Solution:
N = 10
Mean = 70
Mean = Summation of X / N
70 = Summation of X / 10
Summation of X = 70 x 10 = 700 (Wrong Sum)
Correct Sum = 700 – 29 + 92 = 763
Correct Mean = 763/10 = 76.3
Q3. Average marks of 26 students of Section A of class XI is 73 and average marks of 24 students of Section B of class XI is 86. Find out the average marks of class XI.
Solution: Average Marks of A = 73
N1 = 26
Average Marks of B = 86
N2 = 24
Combined Mean = N1 (Mean of A) + N2 (Mean of B) / (n1+n2)
Combined Mean or Average Marks of Class XI = (26 x 73) + (24 x 86) / 50
Combined Mean = 1898 + 2064 / 50 = 3962/50
Average Marks of XI = 79.24
Q4. Calculate arithmetic mean from the following data: (Using assume mean method)
| X | Less than 10 | Less than 20 | Less than 30 | Less than 40 | Less than 50 |
| f | 5 | 15 | 55 | 75 | 100 |
Solution: Arithmetic mean is 30.
Q5. Calculate mode of the following series: (4)
| Class | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 | 60-69 | 70-79 |
| Frequency | 10 | 12 | 18 | 30 | 16 | 6 | 8 |
Solution:
Q6. Calculate median from the following data: (4)
| Marks | More than 0 | More than 10 | More than 20 | More than 30 | More than 40 | More than 50 |
| No of Students | 50 | 42 | 38 | 28 | 16 | 3 |
Solution:
Q7. The following series to the daily income of workers employed in a firm. Compute(a) highest income of lowest 50% workers (b) minimum income earned by the top 25% workers and (c) maximum income earned by lowest 25% workers.(6)
| Daily Income | 10-14 | 15-19 | 20-24 | 25-29 | 30-34 | 35-39 |
| Number of Workers | 5 | 10 | 15 | 20 | 10 | 5 |
Solution:
Download a PDF for your self-practice:
I hope it was easy to digest. Take a look at the virtual explanation on my YouTube Channel:
https://www.youtube.com/c/LearnWithAnjaliLWA
I hope it was helpful, you can refer to more posts related to the statistics.
- Individual Series Arithmetic Mean
- Discrete Series Arithmetic Mean
- Introduction to the statistics.
- Functions and importance of statistics.
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