Question

21, 38, 42, 37, 40, 38, 24, 66, 40, 54, 28, 40

• press each hotspot.
• label the corresponding number below with the requested value.

mean =
median =
mode =

Explanation:

Step1: Calculate the mean

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$.
Here, $n = 12$, and $\sum_{i=1}^{12}x_{i}=21 + 38+42+37+40+38+24+66+40+54+28+40=468$.
So, $\bar{x}=\frac{468}{12}=39$.

Step2: Find the median

First, sort the data: $21,24,28,37,38,38,40,40,40,42,54,66$.
Since $n = 12$ (even), the median $M=\frac{x_{\frac{n}{2}}+x_{\frac{n}{2}+1}}{2}$.
$x_{6}=38$, $x_{7}=40$.
So, $M=\frac{38 + 40}{2}=39$.

Step3: Determine the mode

The mode is the number that appears most frequently.
In the data set, $40$ appears $3$ times, more frequently than other numbers.

Answer:

1. $39$
2. $39$
3. $40$