How do you find f1 and f2 when given the median?
N = total student, f = frequency of the class containing median, cf = cumulative frequency before the median class, h = class interval….
| Age (in years) | Frequency (f) | Cumulative Frequency (cf) |
|---|---|---|
| 20 – 30 | 25 | 35+f1 |
| 30 – 40 | 30 | 65+f1 |
| 40 – 50 | f2 | 65+f1+f2 |
| 50 – 60 | 10 | 75+f1+f2 |
What is the median class in grouped data?
The class whose cumulative frequency is greater than the value N2 is called the median class. From the table above, we have l=20, N=17, F=6, f=5 and h=10. Therefore, the median marks is 25….Finding the Median of Grouped Data.
| Marks out of 50 | Frequency | Cumulative frequency |
|---|---|---|
| 20-30 | 5 | 11 |
| 30-40 | 4 | 15 |
| 40-50 | 2 | 17 |
What is the most common measure of central tendency?
mean
What is the least reliable measure of central tendency?
mode
What are merits and demerits of mode?
Merits of Mode : The mode or modal value of a distribution is that value of the variable for which the frequency is maximum. The number which is repeated maximum number of times is the mode. 1) It is readily comprehensible and easy to compute.
What is mode give three merits and demerits of mode?
Advantages and Disadvantages of the Mode The mode is easy to understand and calculate. The mode is not affected by extreme values. The mode is easy to identify in a data set and in a discrete frequency distribution. The mode is useful for qualitative data.
What are disadvantages of central tendency?
The mean is the only measure of central tendency where the sum of the deviations of each value from the mean is always zero. On the other hand, the one main disadvantage of the mean is its susceptibility to the influence of outliers.
What is better average or median?
Median is determined by ranking the data from largest to smallest, and then identifying the middle so that there are an equal number of data values larger and smaller than it is. Under these circumstances, median gives a better representation of central tendency than average.
What is meant by central tendency?
Central tendency is a descriptive summary of a dataset through a single value that reflects the center of the data distribution. Along with the variability (dispersion) of a dataset, central tendency is a branch of descriptive statistics.