Question

Use the following cell phone airport data speeds​ (Mbps) from a particular network. Find the percentile corresponding to the data speed 12.7 Mbps.

0.2
0.2
0.2
0.3
0.4
0.4
0.5
0.5
0.5
0.6

0.7
0.8
0.8
0.8
0.9
1.2
1.5
1.6
1.8
1.8
2.2
2.2
2.2
2.2
2.3
2.5
3.1
3.1
4.7
4.8
4.8
5.4
5.7
6.1
6.1
6.8
9.7
10.3
10.4
10.4
11.4
11.7
11.7
12.7
12.8
13.1
13.3
13.7
14.2
29.2
Question content area bottom
Part 1
Percentile of 12.7= enter your response here
​(Round to the nearest whole number as​ needed.)

Answer 1

the percentile of 12.7 Mbps is 93

Explanation:

To find the percentile corresponding to the data speed 12.7 Mbps, we need to calculate the percentage of data speeds that are less than or equal to 12.7 Mbps.

There are a total of 43 data speeds in the given list. Out of these, there are 40 data speeds that are less than or equal to 12.7 Mbps. Therefore, the percentile of 12.7 Mbps is:

Percentile = (Number of data speeds ≤ 12.7 Mbps / Total number of data speeds) x 100

= (40/43) x 100

= 93.02 (rounded to the nearest whole number)