Question

30

Find the mean, median, and mode of the following set of measurements. 5, 1, 10, 13, 7, 19, 16, 5, 1 A. Mean: 7, Median: 8.556, Mode: 5 B. Mean: 7, Median: 8.556, Mode: 5,1 C. Mean: 8.556, Median: 7, Mode: 1 OD. Mean: 8.556, Median: 7, Mode: 5,1

Answer 1

5,1,10,13,7,19,16,5,1

rewrite in Ascending Order:

1,1,5,5,7,10,13,16,19

.

there are total 9 elements so n=9

.

mean is calculated by

$mean=\frac{1+1+5+5+7+10+13+16+19}{9}$

mean =

${\color{Red} mean=8.556}$

.

.

.

Ascending Order is:

1,1,5,5,7,10,13,16,19

.

Median is Middle Value of the Given Data Set

here middle number is 7

so median is 7

median = 7

.

.

.

Mode is Most Repeated element in a Set

as we can see, there are two 1 and two 5

so mode is 1,5

mode = 1,5

.

.

.

${\color{Red} mean=8.556}$

median = 7

mode = 1,5

option D is correct