A marketing researcher is interested in the number of songs that millenials include on their playlists. He collects data from a sample of millenials and finds the following frequency distribution:

Number of songs	Proportion
10	0.1
15	0.14
20	0.15
25	0.11
30	0.13
35	0.16
40	0.09
45	0.07
50	0.05

What is the average expected number of songs from this sample? (the mean of the probability distribution)Given the following data

10

10

10

12

13

14

14

17

17

18

What is the Inter-Quartile Range?

Given the following data

11

10

14

17

16

10

10

17

15

13

What is the mode?

Given the following data

12

11

13

12

11

10

19

14

10

16

What is the Real Range of this dataset?

Given this set of numbers

19

16

14

15

15

12

17

18

17

17

What is the variance of these data?

You are presented with the following frequency distribution

Intervals	Frequency	Cumulative Percent
10-20	1	3
21-30	3	13
31-40	7	35
41-50	10	68
51-60	8	94
61-70	2	100

What number is at the 55th percentile? (You may round to a whole number for the answer)