Question

Find the median of the data in the dot plot below.

Answer 1

40

Explanation:

The median is the middle value of the data arranged in ascending order. If there is no exact value in the middle then it is the average of the values either side of the middle.

The data is arranged in ascending order within the dot plot

There are 10 values in the data set

Thus the median is between the fifth and sixth values.

Counting from the left (35)

The fifth value = 39 and the sixth value = 41, thus

median =
`(39+41)/(2)` =
`(80)/(2)` = 40

Answer 2

Explanation:

Data:

35 , 38, 38 , 39 , 39, 41, 42 , 43, 43, 44

Total number of data = 10

Number of data is even. so, median is the average of (n/2)th term & (
`(n)/(2)+1` ) middle term,

Median = average of 5th and 6th term

= (39 + 41)/2 = 80/2 = 40