Question

Here are the percents of the popularvote won by each successful candidatein 15 presidential elections.49.6, 55.1, 57.4, 49.7, 61.1, 43.4,60.7, 50.1, 50.7, 58.8, 53.9, 43.2,49.2, 47.9, 51.2What is the first quartile?

Answer 1

Given:

The percentage of the popular vote was won by each successful candidate in 15 presidential elections.

49.6, 55.1, 57.4, 49.7, 61.1, 43.4,

60.7, 50.1, 50.7, 58.8, 53.9, 43.2,

49.2, 47.9, 51.2

We will make the data in order from the least to the greatest:

43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1, 50.7,

51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1

The number of data = 15

So, the median of the data will be number 8

So, the median = 50.7

We will divide the data into two equal groups:

(43.2, 43.4, 47.9, 49.2, 49.6, 49.7, 50.1) , 50.7

(51.2, 53.9, 55.1, 57.4, 58.8, 60.7, 61.1)

The first quartile will be the median of the first group.

So, the answer will be:

The first quartile = 49.2