QUESTION 7 Consider the following data set: 12, 14, 18, 12, 24. To study the effect of adding the same number to each value on the measures of location and spread: a) Compute the mode, median, mean, and standard deviation (Enter your answers to one decimal place.) b) Add 10 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS V Arial V Paragraph V 10pt 田く AV Ix F Q

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### Question 7

Consider the following data set: 12, 14, 18, 12, 24.

To study the effect of adding the same number to each value on the measures of location and spread:
a) Compute the mode, median, mean, and standard deviation (Enter your answers to one decimal place.)
b) Add 10 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.)
c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set?

For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).

### Question 8

A data set of 51 distinct values had the following mean and median: mean = 200 and median = 175. The largest value of the data set was 500. Later it was found that this largest entry was recorded incorrectly. The correct value is 255. What is the effect on the median and mean if the correction is made?
a) The mean would remain the same while the median would decrease.

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#### Additional Information:
- **Mode** is the number that appears most frequently in a data set.
- **Median** is the middle value when a data set is ordered from least to greatest.
- **Mean** is the average of the data set.
- **Standard Deviation** is a measure of the amount of variation or dispersion in a set of values.
Transcribed Image Text:### Question 7 Consider the following data set: 12, 14, 18, 12, 24. To study the effect of adding the same number to each value on the measures of location and spread: a) Compute the mode, median, mean, and standard deviation (Enter your answers to one decimal place.) b) Add 10 to each of the data values. Compute the mode, median, and mean. (Enter your answers to one decimal place.) c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when the same constant is added to each data value in a set? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). ### Question 8 A data set of 51 distinct values had the following mean and median: mean = 200 and median = 175. The largest value of the data set was 500. Later it was found that this largest entry was recorded incorrectly. The correct value is 255. What is the effect on the median and mean if the correction is made? a) The mean would remain the same while the median would decrease. Click Save and Submit to save and submit. Click Save All Answers to save all answers. #### Additional Information: - **Mode** is the number that appears most frequently in a data set. - **Median** is the middle value when a data set is ordered from least to greatest. - **Mean** is the average of the data set. - **Standard Deviation** is a measure of the amount of variation or dispersion in a set of values.
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