sixteen students each measured the weight of 25 pennies, in grams. the list shows their measurements. 60…
sixteen students each measured the weight of 25 pennies, in grams. the list shows their measurements. 60, 62, 65, 59, 63, 63, 63, 62, 64, 62, 60, 61, 66, 64, 61, 65. in each graph below, the mean is indicated by a solid vertical line segment while the standard deviations from the mean are indicated by dotted vertical line segments. which graph represents the distribution of weights?
Answer
Explanation:
Step1: Calculate the mean
First, find the sum of the data values: $60 + 62+65 + 59+63+63+63+62+64+62+60+61+66+64+61+65=996$. There are $n = 16$ data - points. The mean $\bar{x}=\frac{996}{16}=62.25$.
Step2: Analyze the range of data
The minimum value in the data set is $59$ and the maximum value is $66$.
Step3: Match with the graph
The first graph has a mean around $62 - 63$ and the data range from approximately $58$ to $66$, which is consistent with our calculated mean and data - range. The second graph has a mean around $64$ and data range from $52$ to $74$, which does not match our calculated mean and data - range.