Q:

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?

Accepted Solution

A:
Answer:Graph number 3.Step-by-step explanation:From the given data we will calculate the mean firstMean = ∑Measurements/number of students = (60+62+65+59+63+63+63+62+64+62+60+61+66+64+61+65)/16 = 1000/16 = 62.5Now to calculate standard deviationStandard deviation = [tex]\sqrt{\frac{\sum (x-\bar{x})}{n-1}}[/tex][tex]=\sqrt{\frac{60}{15}}=\sqrt{4}=2[/tex]So on the graph a solid vertical line should be at 62.5 and dotted vertical line segments will be at 60.5 and 64.5The figure which matches our data is graph number 3.Therefore Graph number 3 is the answer.