Saved Bookmarks
| 1. |
2 Calculate the median for the following frequency distribution:Variate36101215Frequency3.4281310 |
|
Answer» 12 13 14 15 f 1 4 7 5 9 8for a frequency distribution,So, total NUMBER of observation =(1+4+7+5+9+8)=34It is a even number.So, median is the value of average of values at ( 2n ) th and ( 2n+2 ) th .∴ Here, median is the average of the values at ( 234 ) th or 17 th position and ( 234+2 ) th or 18 th position. x 10 11 12 13 1415 f 1 4 75 9 8 position 1 1+4=5 5+7=12 12+5=17 17+9=26 26+8=34So, value of x at 17 th position is 13 and at 18 th position is 14.∴Median=( 213+14 )= 227 =13.5.MODE for a frequency distribution is the value which is the most common frequent value.Here 14 has frequency 9 which is highest. So, mode for the frequency distribution is 14. |
|