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Central limit theorem

A collection of several polyhedral dice scattered across a flat surface, with faces showing various numbers. The arrangement of the dice forms a bell curve pattern, where the highest concentration of numbers is in the center, gradually tapering off towards the ends. The faces of the dice display a mix of colors, including red, blue, green, and yellow, with clear, visible numbers. The lighting creates soft shadows on the surface beneath the dice, enhancing the three-dimensional effect of the scene.A patchwork quilt featuring square patches arranged in vibrant colors. The patches form a gradient bell curve pattern, transitioning smoothly from dark to light shades. The squares are meticulously stitched together, highlighting the intricate details of each patch. The edges of the quilt are neatly hemmed, providing a finished look. The overall composition showcases the unique texture of the fabric, with a soft and inviting appearance.A bustling farmer's market scene featuring stalls arranged in a size gradient to create a bell curve perspective. At the forefront, a small stall is filled with colorful handmade jams and jellies displayed in jars. Next to it, a larger stall showcases vibrant, fresh vegetables, including heirloom tomatoes, green zucchinis, and fresh herbs. Further back, an even larger stall presents an array of fruits such as apples, pears, and berries, all artfully arranged. The background includes large, eye-catching signs promoting the goods, and shoppers moving from stall to stall, creating a lively atmosphere. The market is set under a clear blue sky, with sunlight illuminating the fresh produce.A bookshelf filled with books arranged in a bell curve formation according to their height. On the left side, there are shorter books stacked in neat rows, gradually increasing in height toward the center. The tallest books are positioned at the peak of the curve, creating a symmetrical display. As the arrangement continues to the right, the books decrease in height again in an orderly manner. Each book has a visible spine with titles, and the shelf itself has a wooden texture.A diverse group of people stands in a queue, arranged in a bell curve formation. To one side, there is a tall man wearing a blue jacket and jeans. Beside him is a woman with curly hair dressed in a bright red dress. In the middle of the queue, there is a person with a backpack and a patterned shirt. As the formation continues, a woman in a green sweater stands next to a man wearing glasses and a plaid shirt. The last part of the queue features a person with a colorful scarf and a hat. The background consists of soft gradient pastel colors that enhance the scene.A school of small, vibrant fish swimming together in a tight formation, creating a distinct bell curve pattern in the water. The fish are brightly colored, featuring shades of blue, yellow, and orange, and are gliding through clear, shimmering water. As they swim, the light reflects off their scales, creating a dynamic visual effect. The curved pattern showcases the cohesion of the school, with fish at the ends swimming outward and those in the center clustering closely together. Bubbles rise around them, adding to the lively underwater scene.A blackboard features a bell curve drawn in chalk, depicting the distribution of student grades. The curve is smooth and prominent, with labeled axes indicating the range of grades on the horizontal axis and the number of students on the vertical axis. Near the peak of the curve, there are annotations indicating the average grade and standard deviation. Surrounding the bell curve, there are small groups of numbers representing specific grades, with the highest concentration of students near the center of the curve. The texture of the blackboard is slightly worn, and there are scattered chalk dust particles around the drawing.A musical staff with lines and spaces clearly visible is filled with musical notes arranged in a pattern. The heights of the notes create a bell curve, with the notes in the center being the tallest and gradually decreasing in height towards the edges. Each note is distinctively shaped, and there is a gradient of pastel colors that fills the notes and the staff. The background is a soft blend of complementary pastel shades that enhances the overall composition.Bubbles of various sizes are floating upwards in the image. The bubbles range from small to large, with the majority clustered in the center, forming a bell curve shape. Each bubble has a shiny, reflective surface that catches the light, showcasing a spectrum of soft colors. The background is a soft gradient, enhancing the ethereal quality of the floating bubbles. The largest bubbles are near the top, while smaller ones occupy the lower part of the composition.Pencils of various lengths are laid out on a table, arranged in the shape of a bell curve. The shortest pencils are positioned at both ends, gradually increasing in length towards the center. The tallest pencils are located in the middle of the arrangement. Each pencil has a distinct color and is sharpened at one end, with their erasers intact. The table surface is smooth and has a natural wood texture, providing a contrasting background to the vibrant colors of the pencils.A histogram displaying the results of a series of coin flips is positioned prominently. The bars of the histogram represent the frequency of heads and tails outcomes, with clear labels indicating the number of flips. Above the histogram, a smooth bell curve overlay is illustrated, showcasing the probability distribution of the coin flip results. The histogram features alternating colors for the bars, and the bell curve is drawn in a contrasting color, creating visual separation between the two elements. The overall composition is clear and easy to interpret, emphasizing the relationship between the histogram and the bell curve.Different camera lenses arranged by size into a bell curve shape, showcasing a variety of lens types including wide-angle, standard, and telephoto lenses. The smallest lenses are positioned on the left, gradually increasing in size towards the center, which features the largest lenses, before tapering off again with larger telephoto lenses on the right. Each lens displays distinct features such as varying barrel lengths, diameters, and mount types. The arrangement is visually balanced, creating an elegant curve that highlights the diversity of lens designs.Aerial view of a road with cars arranged in a density pattern that forms a bell curve. The road is a two-lane highway with a clear boundary separating each lane. On one side of the curve, there are fewer cars, while the center of the bell curve shows a high concentration of vehicles, with various colors including red, blue, and white. On the other side of the curve, the number of cars decreases again, creating a smooth transition. The landscape surrounding the road includes green fields and patches of trees, contributing to the overall scene.A collection of vintage cups and saucers is arranged on a wooden table, forming a bell curve shape based on their sizes. At the center, there is a large, ornate cup and saucer set with floral patterns in pastel colors. As the collection tapers towards both ends, medium-sized cups and saucers follow, featuring intricate lace designs and soft color palettes. The smallest cups are positioned at the outer edges, showcasing delicate, minimalist styles with subtle embellishments. The background is softly blurred, focusing attention on the cups and saucers, highlighting their varied shapes and designs.A city skyline during dusk is visible, with a variety of buildings arranged to mimic a bell curve shape. The buildings vary in height, with the tallest structures positioned at the center of the curve, gradually decreasing in height towards both ends. The sky is a gradient, transitioning from deep orange near the horizon to a deep blue higher up. Windows of the buildings are illuminated, reflecting the warm tones of the sunset. Silhouettes of trees can be seen in the foreground, and a few scattered clouds are present, catching the last light of day.A vibrant meadow filled with wildflowers of various heights, creating a bell curve shape across the landscape. In the foreground, there are shorter flowers in shades of yellow and purple, gradually increasing in height towards the center, where the tallest blooms in shades of red and blue stand prominently. As the eye moves towards the background, the flowers taper off again, returning to the shorter varieties. The scene captures the lush greenery of the meadow, with a soft, blue sky overhead, dotted with a few fluffy white clouds.A modern pastel illustration featuring a range of mountain peaks of varying heights, arranged in a bell curve formation. The mountains are depicted in soft shades of green, blue, and lavender. The tallest peak is centrally located with gradually shorter peaks on either side. Gentle slopes connect the peaks, creating a smooth transition in the landscape. The sky above is a light pastel blue with fluffy, white clouds scattered throughout.A series of clouds of different sizes forming a bell curve shape in the sky. The clouds should be fluffy and white, with some shadows indicating depth. The sky is a gradient of blue, transitioning from lighter shades near the horizon to deeper hues higher up. The largest clouds should be in the center of the bell curve, gradually decreasing in size towards the edges. The scene captures a sense of movement as some clouds appear to drift softly.A series of colorful hot air balloons are floating at various altitudes, creating a bell curve shape against a vibrant sunrise. The balloons feature different patterns, including stripes, polka dots, and floral designs, with colors like red, blue, yellow, and green. The sun is just above the horizon, casting warm orange and pink hues across the sky. Below, the landscape is silhouetted, with gentle hills and patches of trees, adding depth to the scene. The balloons are arranged so that those higher in the sky are positioned closer together, while those lower are more spread out, emphasizing the bell curve formation.A view from above showcases a series of skyscrapers with varying heights, arranged in a pattern that forms a bell curve. The tallest skyscrapers are located in the center, gradually descending on both sides towards shorter buildings. The facades of the skyscrapers are made of glass, reflecting the light in different angles. Surrounding the buildings, there are streets lined with trees and parked cars, adding context to the urban landscape. The overall scene conveys a sense of organized structure and modern architecture.An arrangement of candles of varying heights and brightnesses is set up in a dark room. The candles are positioned to create a bell curve shape, with the tallest candles in the center and shorter ones on either side. Each candle emits a warm glow, casting soft shadows on the floor. The room is dimly lit, enhancing the contrast between the flickering candlelight and the surrounding darkness. The surfaces of the candles reflect the light subtly, highlighting their different textures and colors.A basket filled with a variety of fruits is displayed. The fruits are arranged in a bell curve shape, with the highest point in the center. At the top of the curve, there are a cluster of ripe bananas leaning gently against each other. On either side, there are red apples and green pears that fill in the curve smoothly. Towards the ends, there are oranges and small bunches of grapes that taper down. The basket itself has a woven texture, with visible handles on each side, and a few leaves are scattered among the fruits.A row of trees with varying heights is positioned in a way that forms a bell curve silhouette. The tallest tree stands at the center, gradually tapering down to shorter trees on either side. The sky serves as a backdrop, with the trees outlined prominently against it. Each tree has distinct features, such as different shapes of leaves and trunks, contributing to the overall visual diversity. The scene captures a harmonious gradient of tree heights, creating a smooth curve from left to right.Waves crashing on a beach, forming a pattern of heights that resembles a bell curve. The waves have a smooth, rounded crest and foamy white surf at the base. The beach is sandy and stretches along the shoreline, with small pebbles scattered throughout. The water is a clear blue color, reflecting the sunlight. Overall, the scene captures the rhythmic motion of the waves against the beach.A series of traffic lights positioned at an intersection, arranged in a bell curve formation according to height and brightness. The tallest traffic lights are at the center, gradually decreasing in height towards either end. The lights are illuminated, with the center lights glowing brightly in red, yellow, and green, while the outer lights have dimmer shades of the same colors. The surrounding intersection is paved and lined with city buildings, creating a clear context for the arrangement of the traffic lights.A smooth bell-shaped curve is illustrated on a graph, with the curve arching gracefully from left to right. The horizontal axis is marked clearly with grid lines and labeled with numeric values. The vertical axis is also marked with grid lines, showing a range of values. Several distinct data points are plotted along the curve, each represented as small, solid circles. The background features a subtle gradient of pastel colors, enhancing the overall visual appeal of the graph.A night sky filled with densely packed "stars" in the center, radiating outward in a bell curve pattern. The stars vary in brightness, creating a gradient effect as they thin out towards the edges. The background is a deep blue, providing a stark contrast to the glowing white and yellow points of light that represent the stars.A large white canvas is filled with vibrant paint splatters of various colors. The splatters are concentrated in the center, forming a distinct pattern that resembles a bell curve. Shades of blue, red, yellow, and green are present, with some splatters being larger and more prominent while others are smaller and more delicate. The splatters vary in size and shape, creating a dynamic visual effect. The edges of the canvas feature lighter splatters, gradually fading as they move outward from the central pattern.A modern pastel illustration depicting pebbles of varying sizes arranged in a bell curve on a smooth, pale sand surface. The pebbles display an array of soft colors including light gray, beige, and soft pink. The composition highlights the gradual transition of pebble sizes from small to large, creating a gentle upward slope in the center before tapering down on either side. Subtle shadows of the pebbles are cast onto the sand, emphasizing their shapes and textures.A lineup of a small mouse, a rabbit, a medium-sized dog, a large cat, and an elephant arranged in a bell curve formation. The mouse is at the far left, followed by the rabbit next to it. The medium-sized dog is positioned in the center, creating the peak of the curve. Next to the dog, there is a large cat, and the elephant stands at the far right, completing the lineup. Each animal is clearly defined and distinct in size, showcasing their relative proportions.
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