Question

Christine has the following data:

840 836 836 828 836 840 83 P
853
828
If the range is 25, which number could p be?

Answer 1

Explanation:

Given that the range of the data is 25, we need to find the difference between the highest and lowest number in the dataset, excluding P. Let's first look at the known numbers:

828, 836, 836, 836, 840, 840, 853

The highest number currently in the dataset is 853, and the lowest number is 828.

To maintain a range of 25, we know that the highest number (H) minus the lowest number (L) must equal 25:

H - L = 25

We can now consider different scenarios for P:

1. If P is the lowest number (L), then:

H - P = 25

853 - P = 25

P = 853 - 25

P = 828

2. If P is the highest number (H), then:

P - L = 25

P - 828 = 25

P = 828 + 25

P = 853

In this case, the value of P can be either 828 or 853 in order to maintain a range of 25 within the dataset.