Best Suited Measure of Central Tendency in Different Cases and the Empirical Relationship between Them
Trending Questions
Q.
One of the methods of determining mode is :
Mode = 2 Median + 3 Mean
Mode = 2 Median – 2 Mean
Mode = 3 Median + 2 mean
Mode = 2 Median – 3 Mean
Q.
Is the median always between Mean and Mode?
Q. Fill in the blank:
According to Karl Pearson, relationship between mean, median and mode is expressed as Mode =3 Median - _________ .
According to Karl Pearson, relationship between mean, median and mode is expressed as Mode =3 Median - _________ .
- 2 Mean
- 4 Mean
- 3 Mean
- Mean
Q.
Construct a sample (with at least two different values in the set) of measurements whose mean, median, and mode are equal.
If this is not possible, indicate "Cannot create sample".
Q. The arithmetic mean of 35 values is 45. What will be the new mean if each of these values is
(a) increased by 7?
(b) multiplied by 5?
(c) divided by 5?
(a) increased by 7?
(b) multiplied by 5?
(c) divided by 5?
Q. If each observation of a data is increased by 5, then their mean
(a) remains the same
(b) becomes 5 times the original mean
(c) is decreased by 5
(d) is increased by 5
(a) remains the same
(b) becomes 5 times the original mean
(c) is decreased by 5
(d) is increased by 5
Q. The mean number of tickets sold daily by a comedy show over a seven-day period was 52. The show sold 46 tickets on the last day of that period. Find the mean number of tickets that were sold daily over the first six days.
- 54
- 53
- 55
- 56
- 57
Q. If the median of the distribution given below is 28.5. Find the values of x and y.
Class interval | Frequency | Cumulative frequency |
0-10 | 5 | 5 |
10-2 | x | 5+x |
20-30 | 20 | 25+x |
30-40 | 15 | 40+x |
40-50 | y | 40+x+y |
50-60 | 5 | 45+x+y |
Total | 60 |
- x=8 and y=7
- x=2 and y=9
- x=1 and y=2
- x=5 and y=5
Q. The mean and median of a data are 24 and 26 respectively. Find the mode of the same data.
Q. There is a class of 50 students writing an exam for 100 marks. The middle value of all scores is found out to be 35.5 marks. It was also observed that mark 60 had the highest frequency of occurrence. Now the teacher wants to find the mean value of whole lot of students. Find the mean value.
- 22.5
- 25.46
- 23.25
- 23.5
Q.
If xi's are the mid-point of the class intervals of a grouped data, fi′s are the corresponding frequencies and ¯x is the mean, then find ∑(fi(xi−¯x).