Question: A main idea within descriptive statistics is describing or summarizing a data collection's central tendencies. In other words, is it reasonable and appropriate to trytodescribe/summarize/measurethe
A main idea within descriptive statistics is describing or summarizing a data collection's central tendencies.
In other words,is it reasonable and appropriate to trytodescribe/summarize/measurethe center of a data collection with a single number, or perhaps the most frequent?
- Yes
- No
Themean,median, andmodecan adequately be categorized as measures of center, because they describe the center of a data collection.
- Agree or Disagree?
- Agree
- Disagree
Recall from your previous mathematics and statistics education,and from your common sense knowledge of quantitative reasoning,some basicmeasures of center,often known as averages.These includewhich of the following measures?
- mean
- median
- mode
- range
Themeancan be described as thearithmetic average, meaning, pun intended, that we basically add up the data and divide by the number of data points to compute this measure.
- Agree or Disagree?
- Agree
- Disagree
- Echo-Cardy is reviewing the daily orders of the latest greatest eco-friendly,sustainability-themedvideogame sold through the Game Spot app store.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardy wants to measure the center of this data collection.What is themean?[COMMENTS & HINTS:Please submit the exactCounting Numberanswer to this question without any unnecessary decimals, commas or insignificant digits: for example, 17, not 17.00.Yes, the answerisaCounting Number!]
answer:
Before continuing, and as a review of data labels, levels, and types, indicate which three data characterizations apply to the previous context:
Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.
[HELPFUL HINT: Recall that counting number data values may appear likediscreteand therefore qualitativedata but in a number of circumstances function ascontinuous and therefore quantitativedata.]
- continuous
- discrete
- interval
- nominal
- ordinal
- qualitative
- quantitative
- ratio
Themediancan be described as the middle data value.If a data set is odd-numbered, it literally is the middle data point when in numerical order; if an even numbered data set, it is the midpoint between the middle two data values, when in numerical order.
- Agree or Disagree?
- Agree
- Disagree
- Echo-Cardyis reviewing the dailyorders of the latest greatesteco-friendly, sustainability-themedvideo game sold through the Game Spotappstore.A selected number of these dailyorders, sorted numerically, are as follows: 40, 42, 44, 45, 49, 49, 49, 50, 50, 52, 54, 55, 56, 58, 60, 60, 63, 63, 63, 67, 68, 75, and 76.Echo-Cardywants to measure the center of this data collection.What is themedian?[COMMENTS & HINTS:Please submit the exactCounting Numberanswer to this question without any unnecessary decimals, commas or insignificant digits: for example, 17, not 17.00.Yes, the answerisaCounting Number!]
answer:
Themodeis a measure determined by counting how many times each unique data item repeats in the collection.
- Agree or Disagree?
- Agree
- Disagree
Is it reasonable to describe the mode as the value(s) that occur most often in a data set?
- Yes
- No
For instance,a data set that has exactly three (3)modes could be referred to as bimodal?
- Yes
- No
As another example, a data set that has exactly two (2)modes could be referred to as trimodal?
- Yes
- No
Additionally,a data set that has exactly one (1) could be referred to as unimodal?
- Yes
- No
Finally,a data set that has many modes could be referred to as multimodal?
- Yes
- No
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