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14. Statistics
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Q6 of 33 Page 14

The median of the observations 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the value of x.

The number of observations = n = 10. Since n is even ,
Median =
⇒ 24 =   = =
⇒x = 21.

More from this chapter

All 33 →
4 If the mean of the following data is 21.5, find the value of k:
          
xi 5 15 25 35 45
fi 6 4 3 k 2
5 Find the values of f1 and f2 of the frequency, if the mean of the following frequency distribution is 21.4 and the total frequency is 40.
Class-interval 0 - 8 8 - 16 16 - 24 24 - 32 32 - 40
Frequency 6 f1 10 f2 9
7 Find the median of the following data: 19, 25, 59, 48, 35, 31, 30, 32, 51. If 25 is replaced by 52 and 19 by 29, what will be the new median? 8 Find the value of p, if the mean of the following distribution is 20. 

x 15 17 19 20 + p 23
f 2 3 4 5p 6
Questions · 33
14. Statistics
1 2 3 4 5 6 7 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
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