Answer to Question #218366 in Statistics and Probability for Leah

Question

Use the table below to answer the questions that follow
X| 0 | 1| 2 | 3 | 4| 5|
Freq| 15| 24| 8| 6| 10| 4|

i) Use the table above to construct cumulative frequency and relative cumulative frequencies for the distribution
ii) Estimate the mean deviation

Answer 1

Solution:

$Mean=\mu=\dfrac{\Sigma f_ix_i}{\Sigma f_i} \\=\dfrac{15\times 0+24\times 1+8\times 2+6\times 3+10\times 4+4\times 5}{67}$

$=\dfrac{0+24+16+18+40+20}{67} \\=\dfrac{118}{67}=1.76$

Now, mean deviation

$=\dfrac{\Sigma|x_i -\mu|}{\Sigma f_i} \\=\dfrac{1.76+0.76+0.24+1.24+2.24+3.24}{67} \\=0.14149$