Question

This list shows the heights in feet of the 30 tallest mountains in the United States.
14,269
14,361
14,470
14,831
16,237
14,270
14,370
14,494
14,950
16,390
14,286
14,410
14,500
15,300
16,500
14,294
14,420
14,530
15,638
17,400
14,309
14,421
14,573
15,885
18,008
14,345
14,433
14,730
15,979
20,320

What is the median of the mountain data?
a.
14,500 ft
c.
14,530 ft
b.
14,515 ft
d.
14,573 ft

Answer 1

b 145153

..............

Answer 2

Answer:

Option (b) is correct.

The median of the given data is 14,515 ft.

Step-by-step explanation:

  Given : Data for the the heights in feet of the 30 tallest mountains in the United States.

We have to find the median of the given data .

Median of the data  is the middle value.

Consider the given data,

To calculate the median : First put the data in ascending order and then find the middle value.

If the number of terms is odd then the middle value is median

And if the number of terms is even then the average of two middle value is median.

We arrange the given data in ascending order,

14269 14270 14286 14294 14309 14345 14361 14370 14410 14420 14421 14433 14470 14494 14500 14530 14573 14730 14831 14950 15300 15638 15885 15979 16237 16390 16500 17400 18008 20320

Since, The number of terms are 30 (even)

Thus, The median is the average of two middle values

Here, Middle terms are 15th and 16th term,

15th term is 14500

and 16th term is 14530

Thus, Median is $\frac{14500+14530}{2}=14515$

Thus, The median of the given data is 14,515 ft.