Question

find the mean, median, and mode of the data set: 6.3, 4.4, 5.2, 4.4, 5.2, 4.4, 8.8, 9.3, 5.6, 6.4. press each hotspot. label the corresponding number below with the requested value.

Explanation:

Step1: Calculate the mean

Sum of data values: $6.3 + 4.4+5.2 + 4.4+5.2+4.4+8.8+9.3+5.6+6.4 = 60$
Number of data - points $n = 10$
Mean $\bar{x}=\frac{60}{10}=6$

Step2: Find the median

Arrange data in ascending order: $4.4,4.4,4.4,5.2,5.2,5.6,6.3,6.4,8.8,9.3$
Since $n = 10$ (even), median $M=\frac{5.2 + 5.6}{2}=5.4$

Step3: Determine the mode

The mode is the value that appears most frequently. Here, $4.4$ appears 3 times, more frequently than any other value, so mode $= 4.4$

Answer:

Mean: $6$, Median: $5.4$, Mode: $4.4$