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?

  1. Yes
  2. No

Themean,median, andmodecan adequately be categorized as measures of center, because they describe the center of a data collection.

  1. Agree or Disagree?
  2. Agree
  3. 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?

  1. mean
  2. median
  3. mode
  4. 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.

  1. Agree or Disagree?
  2. Agree
  3. Disagree
  4. 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.]

  1. continuous
  2. discrete
  3. interval
  4. nominal
  5. ordinal
  6. qualitative
  7. quantitative
  8. 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.

  1. Agree or Disagree?
  2. Agree
  3. Disagree
  4. 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.

  1. Agree or Disagree?
  2. Agree
  3. Disagree

Is it reasonable to describe the mode as the value(s) that occur most often in a data set?

  1. Yes
  2. No

For instance,a data set that has exactly three (3)modes could be referred to as bimodal?

  1. Yes
  2. No

As another example, a data set that has exactly two (2)modes could be referred to as trimodal?

  1. Yes
  2. No

Additionally,a data set that has exactly one (1) could be referred to as unimodal?

  1. Yes
  2. No

Finally,a data set that has many modes could be referred to as multimodal?

  1. Yes
  2. No

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