Advertisements
Advertisements
प्रश्न
Calculate AM, GM and HM from the following data and also find its relationship:
| Marks: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 |
| No. of students: | 5 | 10 | 25 | 30 | 20 | 10 |
Advertisements
उत्तर
| X | f | fX | log X | f log X | `"f"/"X"` |
| 5 | 5 | 25 | 0.6990 | 3.4950 | 1.0000 |
| 15 | 10 | 150 | 1.1761 | 11.761 | 0.6667 |
| 25 | 25 | 625 | 1.3979 | 34.9475 | 1 |
| 35 | 30 | 1050 | 1.5441 | 46.323 | 0.8571 |
| 45 | 20 | 900 | 1.6532 | 33.0664 | 0.4444 |
| 55 | 10 | 550 | 1.7404 | 17.404 | 0.1818 |
| N = 100 | ∑fX = 3300 | `∑"f log X"` = 146.9969 | `sum("f"/"X")` = 4.15 |
AM = `(sum"fX")/"N" = 3300/100` = 33
GM = Antilog `((sum "f log X")/"N")`
= Antilog `((146.9969)/100)`
= Antilog (1.469969)
= Antilog (1.4700)
= 29.51
HM = `"N"/(sum("f"/"X")) = 100/4.15` = 24.096 = 24.10 (approx.)
APPEARS IN
संबंधित प्रश्न
Calculate GM for the following table gives the weight of 31 persons in the sample survey.
| Weight (lbs): | 130 | 135 | 140 | 145 | 146 | 148 | 149 | 150 | 157 |
| Frequency | 3 | 4 | 6 | 6 | 3 | 5 | 2 | 1 | 1 |
The price of a commodity increased by 5% from 2004 to 2005, 8% from 2005 to 2006 and 77% from 2006 to 2007. Calculate the average increase from 2004 to 2007?
An aeroplane flies, along the four sides of a square at speeds of 100, 200, 300 and 400 kilometres per hour respectively. What is the average speed of the plane in its flight around the square?
When an observation in the data is zero, then its geometric mean is __________.
The harmonic mean of the numbers 2, 3, 4 is:
Harmonic mean is the reciprocal of _________
The median of 10, 14, 11, 9, 8, 12, 6 is
Harmonic mean is better than other means if the data are for
Which of the following best describes a 'measure of central tendency'?
If each value in a dataset is increased by the same constant, what happens to the mean and median?
