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Using the provided data, calculate cumulative production for each year and describe how to draw a compound bar graph to represent this data.

Mathematics

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6(a) (i) Compound Bar Graph Calculations

To draw a compound bar graph, we need to calculate the cumulative production for each year. The scale is 1 cm1 \text{ cm} for 100,000 items. Since the table values are already in '000s, each unit in the table directly corresponds to 1 cm1 \text{ cm} on the graph.

  1. Calculate cumulative production for each year.

    • 2015:

      • Jembes: 100
      • Boxes: 100+155=255100 + 155 = 255
      • Ciondos: 255+351=606255 + 351 = 606
      • Pots: 606+330=936606 + 330 = 936 (Total)
    • 2016:

      • Jembes: 93
      • Boxes: 93+156=24993 + 156 = 249
      • Ciondos: 249+375=624249 + 375 = 624
      • Pots: 624+346=970624 + 346 = 970 (Total)
    • 2017:

      • Jembes: 90
      • Boxes: 90+83=17390 + 83 = 173
      • Ciondos: 173+184=357173 + 184 = 357
      • Pots: 357+137=494357 + 137 = 494 (Total)
    • 2018:

      • Jembes: 72
      • Boxes: 72+94=16672 + 94 = 166
      • Ciondos: 166+170=336166 + 170 = 336
      • Pots: 336+120=456336 + 120 = 456 (Total)
  2. Describe how to draw the graph.

    • Draw a horizontal axis (X-axis) for the years (2015, 2016, 2017, 2018).
    • Draw a vertical axis (Y-axis) for the number of items produced (in '000s). Label the Y-axis "Production ('000 items)" and mark it with a scale where 1 cm1 \text{ cm} represents 100,000 items (or 100 units on your graph paper).
    • For each year, draw a bar whose total height corresponds to the total production for that year (e.g., 936 cm936 \text{ cm} for 2015, 970 cm970 \text{ cm} for 2016, etc., if using a very large paper, or 9.36 cm9.36 \text{ cm} for 2015 if 1 cm1 \text{ cm} represents 100 units).
    • Divide each bar into segments based on the cumulative values calculated above. For example, for 2015:
      • The first segment (Jembes) goes from 0 to 100.
      • The second segment (Boxes) goes from 100 to 255.
      • The third segment (Ciondos) goes from 255 to 606.
      • The fourth segment (Pots) goes from 606 to 936.
    • Use different patterns or colors for each item type (Jembes, Boxes, Ciondos, Pots) and include a key or legend to explain them.
    • Give the graph a suitable title, e.g., "Compound Bar Graph Showing Production of Items in Jua Kali Industry (2015-2018)".

    6(a) (ii) Other appropriate methods to present the data:

    • Pie chart (or Divided Circles)
    • Proportional circles
    • Stacked area graph

    6(b) (i) Areas in India where cottage industries are located:

    • Rural areas throughout India.
    • Specific regions known for handicrafts, e.g., Kashmir (shawls, carpets), Rajasthan (textiles, pottery), Uttar Pradesh (brassware, embroidery), Tamil Nadu (silk, weaving).

    6(b) (ii) Characteristics of cottage industries in India:

    • Small-scale production, often carried out in homes.
    • Family labor is predominantly used.
    • Reliance on local raw materials.
    • Use of simple tools and traditional techniques.
    • Low capital investment.
    • Production often caters to local markets or specific craft niches.

    6(c) (i) Two types of industries found in the Ruhr region other than Iron and Steel:

    • Coal mining
    • Chemical industry
    • Machinery manufacturing
    • Textile industry

    6(c) (ii) Four factors that influenced the location of iron and steel industry in the Ruhr region of Germany:

    • Proximity to extensive coal deposits: The Ruhr region had vast reserves of high-quality coking coal, a primary raw material and fuel for iron and steel production.
    • Excellent transport network: The Rhine River provided cheap water transport for importing iron ore (from Sweden and France) and exporting finished products. A dense rail network further facilitated distribution.
    • Availability of skilled and unskilled labor: The densely populated region provided a large workforce necessary for the labor-intensive iron and steel industry.
    • Large market: The industrialization of Europe created a huge demand for iron and steel, with the Ruhr region being centrally located to serve this market.
    • Water supply: The Rhine River and its tributaries provided ample water for cooling and various industrial processes.
    • Capital availability: Early industrial development led to the accumulation of capital, which was reinvested into expanding the iron and steel industry.
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