Question

Question Completion Status: Over a 3 month period, a researcher records the number of days that members of a local Gym use the gym facilites. You collect the following data from a sample of members at the Gym Below is the number of days each person made it to the gym. 2 16 30 39 15 29 37 55 15 30 38 60 14 29 36 51 18 31 40 19 31 40 19 32 41 21 32 41 25 35 45 25 34 43 22 25 3232 42 42 4. a. Arrange the data into an appropriate distribution (4 pts) Graph the data accordingly (4 pts) c. Determine if the distribution is normal or skewed, justify answer (4 pts) Find the mean median, mode, and range (2 pts each) Attach File Sala Subtitle and buit Chick Save and

Answer 1

The given data is,

	14	15	15	16	18	19	19	21	22	25	25	25	2
6	29	29	30	30	31	31	32	32	32	32	34	35	3
6	36	37	38	39	40	40	41	41	42	42	43	45	4
5	51	55	60

a) the appropriote distribution,

Frequency distribution
Class	Count	Percentage
2-14	7	15.6
15 - 27	11	24.4
28 - 40	18	40
41 - 53	7	15.6
54 - 66	2	4.4
Total	45	100

b)

The histogram of the data is,

Frequency distribution histogram 20 18 16 14 12 10 8 6 4 2 0 2-14 15 - 27 28-40 41 - 53 54-66

c)

The distribution is normal. It can be seen that the graph follows a bell curve with mean is around 28-48 and the spread is also not uneven. Therefore it can be said that the distribution follows a norma distribution.

d)

E 1287 45 = 28.6

$\small median = x_{\frac{45}{2}} = x_{23} = 31$

$\small mode = 32$(most repeated number)

$\small range= MaxValue-MinValue = 60-2 = 58$