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Statistical normal distribution demonstration teaching aid

A normal distribution and statistical technology, applied in the field of demonstration teaching aids, can solve the problems of inability to compare learning of normal distribution curves, lack of process reference value, students can not fully understand, etc., to achieve accurate normal distribution curves and save materials , the effect of small quantity demand

Active Publication Date: 2019-07-30
HENAN UNIVERSITY
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Since the square distribution is a probability event, it is subject to the fact that the more experiments are performed, the closer the probability is to the curve distribution of the normal distribution. Therefore, the more experiments are performed, the closer the curve is to the standard, which is more conducive to students' understanding. This kind of demonstrator needs to put small balls artificially, and then pile them up to form a similar curve. This method is laborious, wastes a lot of energy of the demonstrator, and takes a long time. It is difficult to obtain accurate and fast demonstration results. The existing technology Such as the patent document of a new normal distribution probability demonstration device whose publication number is CN108154759A, although it uses machinery instead of manpower to carry out repeated tests to solve the problem of time and energy in the above-mentioned demonstration instrument, but when performing demonstrations, it also uses a large number of The balls are pushed into the ball storage box, and then displayed by using the accumulated number of plots in the vertical slide. It takes a lot of small balls to make the curve more accurate, and when the two sets of normal distributions are coupled together, It is not clear which group of normally distributed balls it is, and it cannot understand how they are superimposed. Only the result is obtained, which does not have the value of process reference, and it is impossible to compare and learn the two sets of coupled normal distribution curves, so that students still I can't fully understand it, and it takes a long time to collect a large number of small balls after use, which is very troublesome

Method used

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Examples

Experimental program
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Effect test

Embodiment 1

[0044] Embodiment one, combined with the attached Figure 1-20 , a statistical normal distribution demonstration teaching aid, comprising a bracket 1, the lower end of the bracket 1 is connected to a leg to support the device, the upper end of the bracket 1 is connected to a vertically arranged transparent casing 2, the casing 2 It is in the shape of a rectangular thin plate, and the inside of the housing 2 is hollow. A rectangular nail array 3 is arranged on the upper part of the housing 2. The rectangular nail array 3 constitutes a Galton nail array model, and the rectangular nails satisfying this requirement are used to demonstrate normality. Distribution, also includes a number of drive balls 4, the nails on the rectangular nail array 3 are longitudinally connected to the front and rear side walls of the housing 2, and constitute the Galton nail array model: that is, the distance between the nails is equal, that is, the size of each hole is the same , and slightly larger t...

Embodiment 2

[0049] Embodiment two, on the basis of embodiment one, in conjunction with the attached Figure 1-20, the reversing transmission device includes the input shaft 32 of the reversing transmission device coaxially arranged with the main shaft 13 and connected to the main shaft 13 through the second clutch 31, the input shaft is installed on the housing 2 through the bearing seat, and each set of The transmission shaft 19 described above is respectively splined to a sliding ring 33 placed between the two first bevel gears 20. The spline connection between the sliding ring 33 and the transmission shaft 19 enables the sliding ring 33 to move horizontally smoothly. It should be noted that the inner diameter of the sliding ring 33 is slightly larger than the inner diameter of the transmission shaft 19, so that the spline connection between them is intermittent, so as to avoid excessive transmission force, resulting in increased friction, so that the sliding ring 33 cannot To move hori...

Embodiment 3

[0051] Embodiment three, on the basis of embodiment one, in conjunction with the attached Figure 1-20 , the indexing transmission device includes a fixed cylinder 51 connected to the outlet end of the ball storage slideway 27 and installed in the housing 2, and the fixed cylinder 51 and the outlet end of the ball storage slideway 27 have an inlet groove 52. An indexing plate 53 that is rotatably connected to the housing 2 is coaxially arranged in the fixed cylinder 51. The edge of the indexing plate 53 is uniformly distributed with three sets of indexing grooves 54 along the circumference. Here we will Taking the three-graded indexing plate 53 as a preferred example, the lower end of the fixed cylinder 51 is connected to an inclined slideway 29, and the part where the fixed cylinder 51 is connected to the inlet end of the inclined slideway 29 has an outlet. The groove 55, the inlet groove 52, the outlet groove 55 and the indexing groove 54 are matched, so that the driving bal...

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Abstract

The invention relates to a statistical normal distribution demonstration teaching aid. A photoelectric sensor is ingeniously arranged at an outlet slideway at the lower end of a rectangular nail array, a main shaft and an electromagnetic clutch corresponding to the main shaft are triggered by utilizing the signal, the main shaft can be electromagnetically driven, a third gear on the correspondingslideway is driven to drive a transmission shaft to rotate through a transitional transmission device, and a sliding ring on a driving shaft achieves reversing through a reversing transmission devicepowered by the main shaft, so that a first end face tooth-shaped gear and a second end face tooth-shaped gear on different sides are meshed, rectangular plates on different sides are driven to ascend,probability results of normal distribution are accumulated and reflected on the rectangular plates, and cyclic demonstration is accumulated. The statistical normal distribution demonstration teachingaid is ingenious in design and simple in operation, materials are saved, time and labor are saved, the demonstration results of the normal distribution are high in precision, the study interest of students is greatly improved by comparing and analyzing different normal distribution graphs, the students can fully understand the normal distribution under different conditions, and a demonstration effect is good.

Description

technical field [0001] The invention belongs to the technical field of demonstration teaching aids, in particular to a statistical normal distribution demonstration teaching aid. Background technique [0002] If an indicator is jointly affected by several independent factors, and each factor cannot have a dominant influence, then the indicator obeys the central limit theorem, that is, the indicator is normally distributed. The normal distribution is a must for students in probability courses. The normal distribution is also called the normal distribution, and the normal distribution is very common in nature. For example, test scores for a class, etc. Normal distribution plays an important role in probability theory, and it is precisely because of this that many students cannot understand normal distribution well, so a statistical normal distribution demonstration teaching aid is absolutely necessary. [0003] The existing normal distribution demonstrator is mainly the Gal...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G09B23/02
CPCG09B23/02
Inventor 张志娟聂大勇刘旭旺
Owner HENAN UNIVERSITY
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