Question

4,2,1,3,51) What was the mean?2) What was the median?3) What was the minimum?4) What was the maximum?5) What was the range?6) What was the Q, (first quartile)?7) What was the Q, (third quartile)?

Answer 1

1. Mean = Sum of Numbers / Number of elements

Mean = (4 + 2 + 1 + 3 + 5) / 5 = 15 / 5 = 3

2. Arrange the numbers in ascending order

1, 2, 3, 4, 5

Median is the middle number

Since there are 5 elements that make up this data set, the median is the third element

Median = 3

3. Minimum = 1

4. Maximum = 5

5. Range = Maximum - Minimum = 5 - 1 = 4

6. Q (first quartile) is the median of the lower half of the data set or the middle value between the median and the lowest value of the data set

1, 2, 3, 4, 5

Q (first quartile) = 2

7. Q (third quartile) is the median of the upper half of the data set or the middle value between the median and the highest value of the data set

1, 2, 3, 4, 5

Q (third quartile) = 4

interquartile range = third quartile - first quartile = 4 - 2 = 2