If the mean of the first 6 odd natural numbers is X, the mean of first 6 even natural numbers is Y, and the mean of first 5 natural numbers is Z. Find the mean of X, Y & Z.
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Step-by-step explanation:
We know:
Mean =
Sum of observations
Number 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+8
8
=
36
8
=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+19
10
=
100
10
=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+35
7
=
140
7
=20
(iv) The factors of 20 are 1, 2, 4, 5, 10 and 20.
Mean of these numbers:
1+2+4+5+10+20
6
=
42
6
=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+79
7
=
463
7
=66.14
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