Answer to Question #279094 in Statistics and Probability for Bjoy

Question

Give what are asked for in the following problems:

1. The data given below are the weights (lbs) of 15 students.

35 38 39 38 39

45 40 47 38 43

40 42 45 50 48

a) Calculate the mean, median and mode.

b) Interpret the result.

Answer 1

a)

$$35, 38, 38, 38, 39, 39, 40, 40,$$

$$42, 43, 45, 45, 47, 48, 50$$

$n=15$

$$mean=\dfrac{1}{n}\displaystyle\sum_{i=1}^{n}x_i=\dfrac{1}{15}(35+38+38+38$$

$$+39+39+40+40+42+43+45+45$$

$$+47+48+50)=\dfrac{627}{15}=41.8$$

$$median=40$$

$$mode=38, appeared\ 3\ times$$

b)

$$mode<median<mean$$

Right-skewed (Positive Skewness) distribution.