Statistics — Important Questions

The mean income is ₹33333, The median income is ₹21500, The median is less affected by the extreme value than the mean

Step 1: Calculate mean = (18000 + 22000 + 19000 + 25000 + 21000 + 95000) ÷ 6 = 200000 ÷ 6 = ₹33333 Step 2: Arrange in order: 18000, 19000, 21000, 22000, 25000, 95000 Step 3: For even count (6), median = (3rd + 4th values)/2 = (21000 + 22000)/2 = ₹21500 Step 4: The extreme value ₹95000 greatly affects the mean but not the median Therefore, options 1, 2, and 3 are correct

16.5

Step 1: Data is already arranged: 8, 12, 15, 18, 20, 24 Step 2: Count = 6 (even number) Step 3: For even count, median = (n/2 th term + (n/2 + 1)th term)/2 Step 4: Median = (3rd term + 4th term)/2 = (15 + 18)/2 = 33/2 = 16.5 Therefore, the median is 16.5

85

Step 1: Mean of 5 numbers = 24 Step 2: Sum of all 5 numbers = Mean × Count = 24 × 5 = 120 Step 3: One number is 35 Step 4: Sum of remaining 4 numbers = Total sum - Given number = 120 - 35 = 85 Therefore, sum of remaining 4 numbers is 85

Mean, Median, Mode

Central tendency measures represent the typical or central value in a dataset: • Mean: Average of all values • Median: Middle value when arranged in order • Mode: Most frequently occurring value Range measures spread (difference between max and min) Frequency shows how often values occur Therefore, Mean, Median, and Mode are measures of central tendency