Question

read the example. then, choose the best answers. sheldon is measuring in centimeters how tall the tomato plants are 4 weeks after being planted. the measurements of the five plants are 10 cm, 12 cm, 38 cm, 28 cm, and 12 cm. 2.017) what is the mean height of the tomato plants measured by sheldon after 4 weeks? you may use a calculator. (round the answer to the nearest whole number.) a. 10 cm b. 18 cm c. 19 cm d. 20 cm 2.018) what is the median height of the tomato plants measured by sheldon after 4 weeks? a. 12 cm b. 16 cm c. 18 cm d. 24 cm 2.019) what is the range of heights of the tomato plants measured by sheldon? a. 26 cm b. 28 cm c. 32 cm d. 36 cm 2.020) what is the mode height of the tomato plants after 4 weeks? a. 10 cm b. 12 cm c. 16 cm d. 20 cm

Explanation:

Step1: Calculate the mean

The mean formula is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 5$, and $x_1=10$, $x_2 = 12$, $x_3=38$, $x_4=28$, $x_5 = 12$. So, $\sum_{i=1}^{5}x_{i}=10 + 12+38+28+12=100$. Then $\bar{x}=\frac{100}{5}=20$.

Step2: Calculate the median

First, arrange the data in ascending order: $10,12,12,28,38$. Since $n = 5$ (odd), the median is the middle - value, which is the 3rd value. So the median is $12$.

Step3: Calculate the range

The range formula is $R=\text{Max}-\text{Min}$. Here, $\text{Max}=38$ and $\text{Min}=10$. So $R=38 - 10=28$.

Step4: Calculate the mode

The mode is the value that appears most frequently in the data - set. Here, $12$ appears twice and other values appear once, so the mode is $12$.

Answer:

2.017) D. 20 cm
2.018) A. 12 cm
2.019) B. 28 cm
2.020) B. 12 cm