位置9的问题 (Charts) Histograms are used for ___ data and Pareto charts are used for ___ data.numerical, numericalnumerical, categoricalcategorical, numericalcategorical, categorical

Question

BlackTom AI · Accepted Answer

Histograms display the distribution of numerical (quantitative) data, whereas Pareto charts summarize frequencies of categories (categorical data) and show their cumulative impact.

1) Relevant knowledge points and concepts
- Numerical (quantitative) data: measurements or counts that have magnitude and can be ordered on a number line (e.g., heights, weights, test scores). Histograms group numerical values into contiguous intervals (bins) and plot frequency or density per bin.
- Categorical (qualitative) data: labels or categories without inherent numeric ordering (e.g., defect types, colors, departments). Pareto charts are bar charts of category frequencies ordered from largest to smallest, often with a cumulative percentage line to highlight the “vital few.”

2) Step-by-step reasoning
- Step 1: Determine what a histogram requires: continuous numeric ranges so you can create bins (e.g., 0–10, 10–20). This implies numerical data.
- Step 2: Determine what a Pareto chart shows: counts by named categories sorted descending and cumulative percentage. This structure requires categorical labels.
- Step 3: Match these requirements to answer choices. The option "numerical, categorical" pairs histogram → numerical and Pareto → categorical, which fits the definitions.

3) Illustrative example (intermediate steps)
- Numerical example for histogram: test scores [55, 62, 70, 78, 90] → bins 50–59:1, 60–69:1, 70–79:2, 80–89:0, 90–99:1 → histogram plots these bin frequencies.
- Categorical example for Pareto: defects {scratch: 30, dent: 15, misprint: 5} → bars sorted (scratch, dent, misprint) with cumulative percentages 60%, 90%, 100% plotted.

4) Why the correct answer is correct
- Histograms require numeric ranges and show distribution, so "numerical" is correct for histograms.
- Pareto charts rely on categorical counts and ranking, so "categorical" is correct for Pareto charts.

5) Why other options are incorrect
- "numerical, numerical": Pareto charts are not primarily for continuous numeric data.
- "categorical, numerical" and "categorical, categorical": histograms are not designed for categorical data (they need ordered numeric bins).

Conclusion: The correct pairing is numerical (histograms), categorical (Pareto charts), matching the provided answer "numerical, categorical."

位置9的问题 (Charts) Histograms are used for _ data and Pareto charts are used for _ data.numerical, numericalnumerical, categoricalcategorical, numericalcategorical, categorical单项选择题

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位置9的问题 (Charts) Histograms are used for ___ data and Pareto charts are used for ___ data.numerical, numericalnumerical, categoricalcategorical, numericalcategorical, categorical单项选择题