Question

q4. answer the question for range. 1 62, 10, 24, 24, 10, 62, 24, 10, 62, 62 mean: median: mode: range: 24 62 35 52

Explanation:

Step1: Calculate the mean

Sum of data values: $62 + 10+24 + 24+10+62+24+10+62+62=340$. There are $n = 10$ data - points. Mean $\bar{x}=\frac{340}{10}=34$.

Step2: Calculate the median

Arrange data in ascending order: $10,10,10,24,24,24,62,62,62,62$. Since $n = 10$ (even), median is the average of the 5th and 6th ordered values. Median $=\frac{24 + 24}{2}=24$.

Step3: Calculate the mode

The mode is the most frequently occurring value. Here, $10$ appears 3 times, $24$ appears 3 times and $62$ appears 4 times. So, mode is $62$.

Step4: Calculate the range

Range = Maximum value - Minimum value. Maximum value is $62$ and minimum value is $10$. Range $=62−10 = 52$.

Answer:

Mean: $34$
Median: $24$
Mode: $62$
Range: $52$