We measured the flat area of 30 apartments and we have measured the following values in \( m^{2} \) : \( 82.6,57.3,70.4,65,48.4,103.8,73.6,43.5,66.1,93,52.6,70,84.2,55,81.3,61.5,75.1,34.8 \), \( 62.4,116,70.1,63.6,93,59.2,65.9,77.2,52.8,68.7,79.2,87.4 \). a) Create a table of grouped frequency distribution for the number of classes \( k=9 \). b) Construct a histogram of relative frequencies of the flat areas. c) From the specified values estimate the sample mean and the variance. d) From the middle values of the intervals and from their frequencies estimate the sample mean and the variance.

What is a scatter plot?

What is a scatter plot?

b] Calculate the arithmetic mean and the standard deviation of the values \( 12,13,16,18,21 \)

Find the variance and standard deviation for the following data : 57, 64, \( 43,67,49,59,44,47,61,59 \). OR

\( \left. \begin{array} { l } { \hat { \beta } _ { 2 } = \frac { ( \sum y _ { i } x _ { 2 i } ) ( \sum x _ { 3 i } ^ { 2 } ) - ( \sum y _ { i } x _ { 3 i } ) ( \sum x _ { 2 i } x _ { 3 i } ) } { \sum x _ { 2 i } ^ { 2 } \sum x _ { 3 i } ^ { 2 } - ( \sum x _ { 2 i } x _ { 3 i } ) ^ { 2 } } } \\ { \hat { \beta } _ { 3 } = \frac { ( \sum y _ { i } x _ { 3 i } ) ( \sum x _ { 2 i } ^ { 2 } ) - ( \sum y _ { i } x _ { 2 i } ) ( \sum x _ { 2 i } x _ { 3 i } ) } { \sum x _ { 2 i } ^ { 2 } \sum x _ { 3 i } ^ { 2 } - ( \sum x _ { 2 i } x _ { 3 i } ) ^ { 2 } } } \end{array} \right. \)