19.) here's the data (sorted) of the ages of 91 women who won the oscar for best actress in a leading role:
21, 22, 22, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 29, 29, 29, 30, 30, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 41, 41, 41, 41, 42, 42, 44, 45, 45, 45, 47, 49, 49, 54, 60, 60, 61, 61, 61, 62, 62, 74, 81
give the five number summary.

Step-by-step explanation:

The five number summary includes the mean, the median, the mode, the range, and the interquartile range.

1) Mean = The sum of all observations / number of observations.

Mean = (21 + 22 + 22 + 24 + 24 + 24 + 24 + 25 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 26 + 27 + 27 + 27 + 27 + 28 + 28 + 28 + 28 + 29 + 29 + 29 + 29 + 29 + 30 + 30 + 30 + 30 + 30 + 30 + 31 + 31 + 31 + 32 + 32 + 33 + 33 + 33 + 33 + 33 + 33 + 33 + 34 + 34 + 34 + 34 + 34 + 35 + 35 + 35 + 35 + 35 + 37 + 37 + 37 + 37 + 38 + 38 + 38 + 39 + 39 + 39 + 41 + 41 + 41 + 41 + 42 + 42 + 44 + 45 + 45 + 45 + 47 + 49 + 49 + 54 + 60 + 60 + 61 + 61 + 61 + 62 + 62 + 74 + 81)/91.

Mean = 3285/91

Mean = 36 (round to the nearest whole number).

2) Median = The central point of the data.

91 divided by 2 gives 45.5, which means 45th number will be the median of this data set. So, Median = 33.

3) Mode = The mostly repeated observation of the data.

Mode = 26 (repeated 9 times).

4) Range = Largest observation - Smallest observation

Range = 81 - 21 = 60.

5) Interquartile Range = Upper Quartile - Lower Quartile.

Upper Quartile is the data point at the 75% position of the data.

Lower Quartile is the data point at the 25% position of the data.

Upper Quartile position = 91*0.75 = 68.25 (68th position).

So that observation is 39.

Lower Quartile position = 91*0.25 = 22.75 (22nd position).

So that observation is 28.

Therefore, interquartile range = 39 - 28 = 11!!!

step-by-step explanation: