Advertisements
Advertisements
प्रश्न
Calculate AM, GM and HM and also verify their relations among them for the following data.
| X | 5 | 15 | 10 | 30 | 25 | 20 | 35 | 40 |
| f | 18 | 16 | 20 | 21 | 22 | 13 | 12 | 16 |
उत्तर
| X | f | fX | log X | f log X | `"f"/"X"` |
| 5 | 18 | 90 | 0.6990 | 12.5820 | 3.6 |
| 15 | 16 | 240 | 1.1761 | 18.8176 | 1.0667 |
| 10 | 20 | 200 | 1.0000 | 20.0000 | 2.000 |
| 30 | 21 | 630 | 1.4771 | 31.0191 | 0.7000 |
| 25 | 22 | 550 | 1.3979 | 30.7538 | 0.880 |
| 20 | 13 | 260 | 1.3010 | 16.9130 | 0.6500 |
| 35 | 12 | 420 | 1.5441 | 18.5292 | 0.3429 |
| 40 | 16 | 640 | 1.6021 | 25.6336 | 0.4000 |
| N = 138 | ∑fX = 3030 | `∑"f log X"` = 174.2483 | `sum("f"/"X")` = 9.6396 |
AM = `(sum"fX")/"N" = 3030/138` = 21.9565
GM = Antilog `((sum "f log X")/"N")`
= Antilog `((174.2483)/138)`
= Antilog (1.26267)
= 18.3092
= 18.31
HM = `"N"/(sum("f"/"X")) = 138/9.6396` = 14.3159 = 14.32
APPEARS IN
संबंधित प्रश्न
Find Q1, Q3, D8 and P67 of the following data:
| Size of Shares | 4 | 4.5 | 5 | 5.5 | 6 | 6.5 | 7 | 7.5 | 8 |
| Frequency | 10 | 18 | 22 | 25 | 40 | 15 | 10 | 8 | 7 |
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?
A man travelled by car for 3 days. He covered 480 km each day. On the first day, he drove for 10 hours at 48 km an hour. On the second day, he drove for 12 hours at 40 km an hour and for the last day he drove for 15 hours at 32 km. What is his average speed?
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 |
Which of the following is positional measure?
When calculating the average growth of the economy, the correct mean to use is?
If the mean of 1, 2, 3, …, n is `(6"n")/11`, then the value of n is
Find out the GM for the following.
| Yield of Rice (tones) | No. of farms |
| 7.5 - 10.5 | 5 |
| 10.5 - 13.5 | 9 |
| 13.5 - 16.5 | 19 |
| 16.5 - 19.5 | 23 |
| 19.5 - 22.5 | 7 |
| 22.5 - 25.5 | 4 |
| 25.5 - 28.5 | 1 |
The measure of central tendency that does not get affected by extreme values:
