Question

Are there any outliers? A. No, there do not appear to be any outliers. B. Yes, the volume of 70 oz appears to be an outlier because many sodas had this as their volume. C. Yes, the volumes of 0 oz and 200 oz appear to be outliers because they are far away from the other temperatures. D. Yes, the volume of 50 oz appears to be an outlier because it is far away from the other volumes

Answer 1

Explanation:

Hello!

Full exercise in attachment.

The data set represents the volumes of a generic soda brand in ounces.

a)

To make a dotplot you have to determine a scale, and then make a dot for each observation that corresponds to the values of the scale. I've determined a scale 10 by ten

(see second attachment)

Out of the 4 plots the one that represents a dotplot for the data is the fourth (D.)

b)

An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.

Normally values that are 3 standard deviations away from the mean can be considered outliers.

`\frac{}{X}`= 71.43

S= 8.42

`\frac{}{X}` - 3*S= 71.43-3*8.42= 46.17

`\frac{}{X}` + 3*S= 71.43+3*8.42= 96.69

For this data set, any value below 46.17 ounces or above 96.69 ounces can be considered outliers. Although the values of 50 and 85 ounces seem to be outliers, they are within the limits.

So the correct option for this A.

I hope this helps!