Question

Suppose you have the following set of data:

4 kg, 4 kg, 6 kg, 8 kg, 13 kg


What is the median of the data set?

A. 6 kg

B. 7 kg

C. 8 kg

D. 9 kg



Suppose you have the following set of data:
4 kg, 4 kg, 6 kg, 8 kg, 13 kg

What is the mean of the data set?
A. 6 kg
B. 7 kg
C. 8 kg
D. 9 kg



Suppose you have the following set of data:
3 cm, 7 cm, 7 cm, 7 cm, 9 cm, 11 cm, 12 cm

What is the range of the data set?
A. 7 cm
B. 8 cm
C. 9 cm
D. 10 cm

Answer 1

(1) Option A: 6 is the median of the data.

(2) Option B: 7 is the mean of the data.

(3) Option C: 9 is the range of the data.

Step-by-step explanation:

(1) To determine the median of the data.

In an odd number of observation, the median is the middle value of the data set.

Thus, from the data, the middle value is 6.

Hence, the median is 6 kg.

Therefore, Option A is the correct answer.

(2) To determine the mean of the data.

The mean is the average of the data.

Thus, we have,

`Mean = (4+4+6+8+13)/(5)`

`Mean = (35)/(5)`

`Mean=7`

Thus, the mean of the data is 7 kg.

Hence, Option B is the correct answer.

(3) To determine the range of the data.

The range is the difference between the highest and the lowest value in the data set.

Thus, we have,

Range = Highest value - Lowest value

= 12 - 3

Range = 9 cm

Thus, the range of the data is 9 cm.

Hence, Option C is the correct answer.