Question

Here is a list of numbers. 51 38 48 36 39 40 39 47 a) Work out the range of the numbers in the list. b) Work out the median of the numbers in the list.​

Answer 1

Range:

15

Median:

39.5 (79/2 in fraction form)

Step-by-step explanation:

When looking for the range, just remember that it is the difference between the largest number and the smallest one. In other words:

`\textsf{Range = Largest Number - Smallest Number}`

The largest number is 51, an the smallest one is 36. So the range is:

Range = 51 - 36

= 15

To find the median, we'll first list the numbers from least to greatest:

36, 38, 39, 39, 40, 47,48, 51

Since we have 8 numbers in the list, we find the mean of the two numbers in the middle, i.e., 39 and 40:

39 + 40

79 / 2

39.5

Hence, these are the answers.

Answer 2

a) Range = 15

b) Median = 39.5

Step-by-step explanation:

Here, we are given a list of numbers and asked to find the range and median.

In a data set, range is the difference between the highest and lowest numbers. On the other hand, the median is the middle number when the data is in ascending order (from lowest to highest). When there are two middle numbers, add the numbers and divide by two to find the median of the data set.

Given data set: 51, 38, 48, 36, 39, 40, 39, 47

Step 1: List the data in ascending order.

36, 38, 39, 39, 40, 47, 48, 51

Step 2: Find the range (highest - lowest).

36, 38, 39, 39, 40, 47, 48, 51

51 - 36 = 15

Step 3: Find the median (middle number).

36, 38, 39, 39, 40, 47, 48, 51

(39 + 40)/2 = 79/2 = 39.5