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------------------------------------------------ The marks of 15 students in a test out of 40 were:

31, 18, 6, 26, 36, 24, 23, 14, 29, 28, 32, 9, 11, 22, 21.

a. Calculate the mean mark for the test.
b. Express the mean mark as a percentage.

Question

College

Answer :

Fatima2716 Fatima2716 · Answer 1 · 2024-09-10T06:34:47-04:00

Answer:

Step-by-step explanation:

To calculate the mean mark for the test and then express it as a percentage, we can follow these steps:

Part (a): Calculate the Mean Mark

First, let's list the marks of the 15 students:

31,18,6,26,36,24,23,14,29,28,32,9,11,22,21

Next, we sum these marks and then divide by the number of students to find the mean.

Step 1: Calculate the sum of the marks

31+18+6+26+36+24+23+14+29+28+32+9+11+22+21

Let's calculate this sum:

31+18+6+26+36+24+23+14+29+28+32+9+11+22+21=330

Step 2: Divide the sum by the number of students (15)

Mean= 15÷330=22

So, the mean mark for the test is

22.

Part (b): Express the Mean Mark as a Percentage

To express the mean mark as a percentage of the total possible marks (which is 40), we use the following formula:

Percentage=(

Total Possible Marks÷

Mean Mark)×100

Substitute the mean mark (22) and the total possible marks (40):

Percentage=( 40÷22 )×100

Percentage=0.55×100

Percentage=55%

So, the mean mark expressed as a percentage is

55%.