Find the mean of the marks obtained by 20 students in a classroom is 43 the hightset mark si 94 then lowest


To find the lowest mark given the mean and highest mark, we can use the following information:

- The mean of the marks obtained by 20 students is 43.
- The highest mark is 94.

The mean is calculated by:

\[
\text{Mean} = \frac{\text{Sum of all marks}}{\text{Number of students}}
\]

Let the sum of all the marks be \( S \). We know the mean is 43 and the number of students is 20, so:

\[
43 = \frac{S}{20}
\]

Multiplying both sides by 20 gives:

\[
S = 43 \times 20 = 860
\]

Now, the sum of all marks is 860. Since the highest mark is 94, let \( L \) be the lowest mark. Let the sum of the remaining 18 students' marks be \( S_r \). So:

\[
860 = 94 + L + S_r
\]

Thus, the sum of the remaining 18 students' marks is:

\[
S_r = 860 - 94 - L = 766 - L
\]

Without additional information, we cannot precisely calculate \( L \) (the lowest mark). Could you provide more details, like the marks distribution or any other information about the students' scores?

---

Here are some related questions you might find useful:
1. How can I calculate the median of this data set?
2. What is the variance of the marks if I have all the scores?
3. How does the range change when I modify the lowest or highest marks?
4. Can I find the mode of the data set with the given information?
5. How does removing an outlier affect the mean?

**Tip:** The mean provides information about the overall average but does not give insight into the distribution of individual marks. Understanding other measures like variance or range can provide more details about the data.

Find the mean of the marks obtained by 20 students in a classroom is 43, the highest mark is 94. What is the lowest mark?

This problem explores how to calculate the lowest mark in a classroom where the mean of the marks is 43, the highest mark is 94, and there are 20 students. Learn how to use the mean formula to find the sum of all marks and estimate the lowest mark.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation