Question

The frequency table below shows the percentages obtained in a Biometry test for a random sample of 60 students:


Interval fi xi F
[30 – 40) 5 b1 c1
[40 – 50) 12 b2 c2
[50 – 60) 18 b3 c3
[60 – 70) 15 b4 c4
[70 – a1) 7 b5 c5
[a1 – 90) 2 b6 c6
[90 – 100) 1 b7 c7


For the percentages obtained, find the range

Answer 1

To find the range of the data, we need to determine the highest and lowest values in the intervals given in the frequency table.

From the intervals provided, we have:

- Lowest interval: \[30 - 40) \quad \text{(lowest value is 30)}
- Highest interval: \[90 - 100) \quad \text{(highest value is 99.999... or effectively 100)}

Next, we can calculate the range using the formula:

\[
\text{Range} = \text{Maximum value} - \text{Minimum value}
\]

Here:

\[
\text{Maximum value} = 100 \quad \text{and} \quad \text{Minimum value} = 30
\]

Now substituting these values into the range formula:

\[
\text{Range} = 100 - 30 = 70
\]

Therefore, the range of the percentages obtained in the Biometry test is **70**.