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A, B, Care three sets of values of x: A:...

A, B, Care three sets of values of x: A: 2, 3, 7, 1, 3, 2, 3,
B: 7, 5, 9, 12, 5, 3, 8,
C: 4, 4, 11, 7, 2, 3, 4
Find the mean of A, B and C respectively.

A

7,5,3

B

7,3,5

C

3,7,5

D

5,3,7

Text Solution

AI Generated Solution

The correct Answer is:
To find the mean of the sets A, B, and C, we will follow these steps: ### Step 1: Calculate the Mean of Set A 1. **List the values in Set A**: 2, 3, 7, 1, 3, 2, 3 2. **Sum the values**: \[ 2 + 3 + 7 + 1 + 3 + 2 + 3 = 21 \] 3. **Count the number of observations**: There are 7 values in Set A. 4. **Calculate the mean**: \[ \text{Mean of A} = \frac{\text{Sum of values}}{\text{Number of observations}} = \frac{21}{7} = 3 \] ### Step 2: Calculate the Mean of Set B 1. **List the values in Set B**: 7, 5, 9, 12, 5, 3, 8 2. **Sum the values**: \[ 7 + 5 + 9 + 12 + 5 + 3 + 8 = 49 \] 3. **Count the number of observations**: There are 7 values in Set B. 4. **Calculate the mean**: \[ \text{Mean of B} = \frac{49}{7} = 7 \] ### Step 3: Calculate the Mean of Set C 1. **List the values in Set C**: 4, 4, 11, 7, 2, 3, 4 2. **Sum the values**: \[ 4 + 4 + 11 + 7 + 2 + 3 + 4 = 35 \] 3. **Count the number of observations**: There are 7 values in Set C. 4. **Calculate the mean**: \[ \text{Mean of C} = \frac{35}{7} = 5 \] ### Final Results - Mean of Set A: 3 - Mean of Set B: 7 - Mean of Set C: 5
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