a Does sample have a mean of 14 b Does sample have a median

a. Does sample have a mean of 14?

b. Does sample have a median of 14? Use two methods

19.7
5.1
19.5
14
13.6
20.3
17.7
21.5
17.3
14.6
18.5
8.3
18.1
22.2
10.5
24.1
10
9.1
9.6
25.8
17.8
12.5
15.6
19.5
10
18.2
13.1
6.2
19.4
20.2
13.2
26.4
2.9
14.7
24.1
10.7
4.7
14.4
14.5
20
13.1
5.4
6.7
15.5
17.2
12.8
14.9
22.4
12.7
20.9

Solution

Given the data has 50 points.

Does sample have a mean of 14?

mean = sum of observations / total number of observations

= 759.2 / 50 = 15.184

So mean of the sample is 15.184 .

For calculating median arrange data in ascending oorder.

median = [ (n/2)th observation + (n/2 + 1)th observation ] / 2

here n = 50

n/2 = 50 / 2 = 25th observation

n/2 + 1 = ( 25 + 1 ) = 26th observation

median = [ 25th observation + 26th observation ] / 2

median = (14.7 + 14.9) / 2 = 14.8