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Example:
If 2n = 8, then n = ?
8
3
2
Example:
2
6
+
1
2
1
6
2
3
5
6
Example: Find the mode of the following: 1, 2, 4, 5, 5
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Find the number that is repeated the most number of times.
Step 3: In the above list, 5 is repeated twice and all the other numbers occur only once. Therefore, the mode is 5.
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Find the number that is repeated the most number of times.
Step 3: In the above list, 5 is repeated twice and all the other numbers occur only once. Therefore, the mode is 5.
Example: 2 minutes after waking up
-2
+2
0
Example: Find the median of the following: 1, 2, 1, 5, 5
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
Step 1: Sort the list → 1, 1, 2, 5, 5
Step 2: Count of numbers listed → 5 (odd)
Step 3: So the middle number is (count+1)/2 → (5+1)/2 → 3rd number. Therefore, the median is 2.
Example: 1, __ , 3, 4, 5; mean=3
Step 1: Let us call the missing number N.
Step 2: We know, Mean = (Sum of all numbers)/(Number of numbers);
Therefore, Sum of all numbers = Mean x Number of numbers
→ 1 + N + 3 + 4 + 5 = 3 x 5 → N + 13 = 15 → N = 15-13 → N = 2
Step 1: Let us call the missing number N.
Step 2: We know, Mean = (Sum of all numbers)/(Number of numbers);
Therefore, Sum of all numbers = Mean x Number of numbers
→ 1 + N + 3 + 4 + 5 = 3 x 5 → N + 13 = 15 → N = 15-13 → N = 2
Example: What is twice the radius?
chord
diameter
circumference
Example: Find the range of the following: 1, 2, 4, 5, 5
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Step 1: Sort the list → 1, 2, 4, 5, 5
Step 2: Highest number → 5; Lowest number → 1
Step 3: Difference between the highest and the lowest numbers in the list → 5 - 1 = 4. Therefore, the range is 4.
Example: 22 -22
>
=
<
Example:
3:7
7
3
4
7
3
7
Example:
0.253 - 0.215
0.305
0.038
0.142
Example: Convert to a mixed number
4
3
3) = 1
4
= 1 with remainder of 1. The answer is the whole number part, the remainder is the numerator part, and the denominator is the same as the improper fraction.
Therefore, 4
3
1
3
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