Question

Among 60 data arranged the 30th term is 55 and median is 61 then find the value of the 31st value. Plz give the answer with explanation otherwise I will delete your answer.

Answer 1

We know:

Mean =Sum of observationsNumber of observations

(i) The first eight natural numbers are 1, 2, 3, 4, 5, 6, 7 and 8.

Mean of these numbers:

1+2+3+4+5+6+7+88=368=4.5 

(ii) The first ten odd numbers are 1, 3, 5, 7, 9, 11, 13, 15, 17 and 19.

Mean of these numbers:

1+3+5+7+9+11+13+15+17+1910=10010=10

(iii) The first seven multiples of 5 are 5, 10, 15, 20, 25, 30 and 35.

Mean of these numbers:

 

5+10+15+20+25+30+357=1407=20

(iv) The factors of 20 are 1, 2, 4, 5, 10 and 20.

Mean of these numbers:

1+2+4+5+10+206= 426=7

(v) The prime numbers between 50 and 80 are 53, 59, 61, 67, 71, 73 and 79.

Mean of these numbers:

 

53+59+61+67+71+73+797=4637=66.