The price of fifteen shares in rupees are as follows : 46, 25, 11, 73, 73, 59, 28, 25, 73, 30, 25, 8, 25, 80, 25 Find the Mode of the price.
25
Mode Definition Explained
The Mode of a data set is the value that appears most often or has the highest frequency. It's a measure of central tendency, telling us which value is the most common in the given numbers.
Calculating Mode for Given Share Prices
We are given the prices of fifteen shares in rupees: 46, 25, 11, 73, 73, 59, 28, 25, 73, 30, 25, 8, 25, 80, 25.
To find the mode, we need to count how many times each distinct price appears in the list.
Let's list the prices and their frequencies:
- 46: Appears 1 time
- 25: Appears 5 times
- 11: Appears 1 time
- 73: Appears 3 times
- 59: Appears 1 time
- 28: Appears 1 time
- 30: Appears 1 time
- 8: Appears 1 time
- 80: Appears 1 time
Identifying the Mode
By examining the frequencies, we can see which price occurs most frequently.
- The price 25 appears 5 times.
- The price 73 appears 3 times.
- All other prices appear only once.
Since the price 25 has the highest frequency (it appears 5 times), it is the mode of this data set.
Important Questions from Measures of Central Tendency
A random sample of 20 people is classified in the following table according to their ages:
Age
Frequency
15 – 25
2
25 – 35
4
35 – 45
6
45 – 55
5
55 - 65
3
What is the mean age of this group of people?
If the difference of mode and median is 36, then the difference of median and mean is:
In a Mathematics test 15 students scored 80 marks, 20 students scored 75 marks, 28 students scored 65 marks and 25 students scored 60 marks, mode of the score is:
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?
The average of 25 numbers is 36. If the average of first 13 numbers is 32 and that of the last 13 numbers is 39, then the 13th number is
