Question

1. Find the mean of the following data.
(a) 9, 7, 11, 13, 2, 4, 5, 5
(b) 16, 18, 19, 21, 23, 23, 27, 29, 29, 35

2. Find the mean of first 5 prime numbers.
3. The mean of 8, 11, 6, 14, x and 13 is 66. Find the value of the observation x.
4. The mean of 6, 8, x + 2, 10, 2x - 1, and 2 is 9. Find the value of x and also the value of the observation in the data.
5. Find the median of the data 25, 37, 47, 18, 19, 26, 36.
6. Find the median of the data 24, 33, 30, 22, 21, 25, 34, 27.

Answer 1

Answer:

$1.a) \: \: \frac{9 + 7 + 11 + 13 + 2 + 4 + 5 + 5}{8} \\ \\ => \frac{52}{8} \\ \\ => \frac{13}{2} \\ \\ \\ \\ 1.b) \: \: \frac{16 + 18 + 19 + 21 + 23 + 23 + 27 + 29 + 29 + 35}{10} \\ \\ => \frac{240}{10} \\ \\=> 24 \\ \\ 2. \: \: first \: five \: prime \: numbers \: = \: 2, \: 3 ,\: 5 ,\: 7 ,\: 11 \\ \\ => \frac{2 + 3 + 5 + 7 + 11}{5} \\ \\=> \frac{28}{5}$

3. Given observations

8,11,6,14,x,13 = 66

Total no. of observations

6

=> 8+11+6+14+x+13/6 = 66

=> 52 + x /6. = 66

=> 52 + x = 66*6

=> 52 + x = 396

=> x = 396 - 52

=> x = 344

$5. \frac{25 + 37 + 47 + 18 + 19 + 26 + 36}{7} </p><p>=> \frac{208}{7} </p><p></p><p></p><p>6. </p><p>\frac{24 + 33 + 30 + 22 + 21 + 25 + 34 + 27}{8} </p><p></p><p>=> \frac{216}{8} </p><p></p><p>=> 27$

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