Question

Find the​ (a) mean,​ (b) median,​ (c) mode, and​ (d) midrange for the data and then​ (e) answer the given question. Listed below are the jersey numbers of 11 players randomly selected from the roster of a championship sports team. What do the results tell​ us? 4    47    78    75    10    38    26    55    39    79    6

a. Find the mean.

. ​(Type an integer or a decimal rounded to one decimal place as​ needed.)

Answer 1

a)

	X
	4
	47
	78
	75
	10
	38
	26
	55
	39
	79
	6
Total	457

Here

Number of observations, n =11

Sum of all observations = 457

Mean = Sum of all observations / Number of observations

The arithmetic mean gives an idea of where the centre of gravity of the distribution is located.

b)

For finding median, first arrange the data in ascending or decending order and use the formula for finding median.

The data in ascending order is given below:

4
6
10
26
38
39
47
55
75
78
79

Here

n = 11 ( odd)

The formula for finding median for odd number of observation is

So,

  

  

Therefore, median = 39

The median gives the point which divides the distribution into two halves, i.e. there are the same number of values to the right and to the left of the median.

c)

The mode is the number that is repeated more often than any other.

Mode = Most frequent value

In the above observations, we see that no two number are repeated.

So, there is no mode in the given observations.

d)

From the above observatins,

Maximum value = 79

Minimum value =4

Range = 79 - 4 = 75

Now