Advertisements
Advertisements
Question
Is it true to say that the mean, mode and median of grouped data will always be different? Justify your answer
Solution
The value of these three measures can be the same, it depends on the type of data.
APPEARS IN
RELATED QUESTIONS
The arithmetic mean of the following data is 25, find the value of k.
x1 | 5 | 15 | 25 | 35 | 45 |
f1 | 3 | k | 3 | 6 | 2 |
Consider the following distribution of daily wages of 50 workers of a factory:
Daily wages (in ₹) |
500-520 | 520-540 | 540-560 | 560-580 | 580-600 |
Number of workers | 12 | 14 | 8 | 6 | 10 |
Find the mean daily wages of the workers of the factory by using an appropriate method.
If the mean of the following frequency distribution is 18, find the missing frequency.
Class interval | 11 – 13 | 13 – 15 | 15 – 17 | 17 – 19 | 19 – 21 | 21 – 23 | 23 – 25 |
Frequency | 3 | 6 | 9 | 13 | f | 5 | 4 |
The mean of n observation is `overlineX`. If the first observation is increased by 1, the second by 2, the third by 3, and so on, then the new mean is
If the arithmetic mean, 7, 8, x, 11, 14 is x, then x =
There are 45 students in a class, in which 15 are girls. The average weight of 15 girls is 45 kg and 30 boys is 52 kg. Find the mean weight in kg of the entire class.
The following table gives the wages of worker in a factory:
Wages in ₹ | 45 - 50 | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 |
No. of Worker's | 5 | 8 | 30 | 25 | 14 | 12 | 6 |
Calculate the mean by the short cut method.
The Mean of n observation x1, x2,..., xn is `bar"X"`. If (a - b) is added to each of the observation, show that the mean of the new set of observation is `bar"X"` + (a - b).
If the arithmetic mean of x, x + 3, x + 6, x + 9 and x + 12 is 10, then x = ?
If xi’s are the midpoints of the class intervals of grouped data, fi’s are the corresponding frequencies and `barx` is the mean, then `sum(f_ix_i - barx)` is equal to ______.