1)The following data show the lengths of boats moored in a marina. The data are ordered from smallest to largest: 16; 17; 19; 20; 20; 21; 23; 24; 25; 25; 25; 26; 26; 27; 27; 27; 28; 29;

30; 32; 33; 33; 34; 35; 37; 39; 40

Match each of the following statistics with a correct answer.

Hint: For multiple modes: separate the values with a coma without spaces, e.g. 21,22

Hint: If the median is located between 2 values, the median=(sum of two values)/ 2

2) State whether the data are symmetrical, skewed to the left, or skewed to the right.

16; 17; 19; 22; 22; 22; 22; 22; 23

3) When the data are skewed left, what is the typical relationship between the mean and median

4) The mean and median for the data are the same.

3; 4; 5; 5; 6; 6; 6; 6; 7; 7; 7; 7; 7; 7; 7

Is the data perfectly symmetrical?

5) Which is the least, the mean, the mode, or the median of the data set?

11; 11; 12; 12; 12; 12; 13; 15; 17; 22; 22; 22

6) Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

Find the percentile of 37. (for example, the percentile for 72 is 86th)

7) Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

Based on the collected answers, what is the value (number of cars sold) of the first quartile in the dataset?

8) Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell three cars; nineteen generally sell four cars; twelve generally sell five cars; nine generally sell six cars; eleven generally sell seven cars.

Based on the collected answers, what is the value (number of cars sold) of the third quartile in the dataset?