{"id":10920,"date":"2026-11-02T02:04:39","date_gmt":"2026-11-02T02:04:39","guid":{"rendered":"https:\/\/kapdec.com\/help\/?p=10920"},"modified":"2026-11-02T02:04:39","modified_gmt":"2026-11-02T02:04:39","slug":"histogram-box-plots","status":"publish","type":"post","link":"https:\/\/kapdec.com\/help\/histogram-box-plots\/","title":{"rendered":"Histogram &#038; Box Plots"},"content":{"rendered":"<div class=\"article-watermark-wrapper\">\n<div style=\"position: relative; z-index: 1;\">\n<p style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 9pt; color: #444444;\">KAPDEC&reg; | Elite STEM Learning Platform | <a href=\"https:\/\/kapdec.com\" target=\"_blank\" rel=\"noopener noreferrer\" style=\"color: #444444; text-decoration: underline;\">https:\/\/kapdec.com<\/a><\/p>\n<hr \/>\n<h2><strong>Unit<\/strong>: Statistics<\/h2>\n<h3><strong>Chapter<\/strong>: Histogram &amp; Box Plots<\/h3>\n<p><strong>Reference<\/strong>: \u2013 <em>Introduction to Histogram, Frequency Distribution and Class Intervals, Construction of a Histogram, Interpreting Histogram Shapes (Symmetric, Skewed, Bimodal), Introduction to Box Plot, Five-Number Summary (Minimum, Q1, Median, Q3, Maximum), Interquartile Range (IQR) and Outliers, Constructing and Interpreting Box Plots, Comparing Histograms and Box Plots<\/em><\/p>\n<p>After studying this chapter, you should be able to understand:<\/p>\n<ul>\n<li>Introduction to Histogram &amp; Its Need<\/li>\n<li>Frequency Distribution and Class Intervals<\/li>\n<li>Construction of a Histogram<\/li>\n<li>Interpreting Histogram Shapes (Symmetric, Skewed, Bimodal)<\/li>\n<li>Introduction to Box Plot &amp; Five-Number Summary<\/li>\n<li>Interquartile Range (IQR) and Outlier Detection<\/li>\n<li>Constructing and Interpreting Box Plots<\/li>\n<li>Comparing Histograms and Box Plots<\/li>\n<\/ul>\n<p><strong>Pictograph:<\/strong><\/p>\n<p>\u00a0<\/p>\n<p><strong><em>A Pictograph is a graph that shows numerical information by using pictures, symbols or icons to represent data set.<\/em><\/strong> Each image stands for certain number of things. The advantage of using a pictograph is that it is easy to read. This is one of the simplest ways to represent statistical data.<\/p>\n<p>\u00a0<\/p>\n<p><strong>Interpretation of Pictograph:<\/strong><\/p>\n<p>In interpreting a pictograph, we get a lot of information regarding the pictograph items.<\/p>\n<p>Let us understand this with the help of an example. The following pictograph shows how many cars were washed at the washing center of a service station during 4 days of a week.<\/p>\n<p>\u00a0<\/p>\n<p><div class=\"kapdec-figure-wrapper\" style=\"display: inline-block; max-width: 100%; vertical-align: top;\"><img decoding=\"async\" alt=\"\" src=\"file:\/\/\/C:\/Users\/vinit\/AppData\/Local\/Temp\/msohtmlclip1\/01\/clip_image001.png\"><\/p>\n<p class=\"kapdec-figure-source\" style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 8pt; color: #666666; text-align: right; margin: 4px 0 12px 0;\">Source: Kapdec.com<\/p>\n<\/div>\n<p>\u00a0<\/p>\n<p>We can get information from the pictograph easily by looking at it. We get to know total number of cars being washed on different days.<\/p>\n<p>On Monday, 4\u00d75 = 20 cars<\/p>\n<p>On Tuesday, 5\u00d75 = 25 cars<\/p>\n<p>On Wednesday, 3\u00d75 = 15 cars<\/p>\n<p>On Thursday, 4\u00d75 = 20 cars<\/p>\n<p>We get to know by just looking at the graph that on Tuesday maximum number of cars were washed and minimum were on Wednesday.<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p><strong>Drawing a Pictograph:<\/strong><\/p>\n<p>There are various steps in drawing a Pictograph. Steps to form Pictograph are:<\/p>\n<p>\u00a0<\/p>\n<p><strong>Step 1<\/strong>: Collect the data of the category you want to represent.<\/p>\n<p>\u00a0<\/p>\n<p><strong>Step 2<\/strong>: Pick a symbol or a picture that accurately represents your data.<\/p>\n<p>\u00a0<\/p>\n<p><strong>Step 3<\/strong>: One symbol cannot represent one frequency when the frequency of data is too high. You must set numerical value that one symbol will represent. This numerical value must be written along with the pictograph.<\/p>\n<p>\u00a0<\/p>\n<p><strong>Step 4<\/strong>: Draw two columns that represent the category and the data. Then draw the actual symbol that represents the frequencies. The symbols can be drawn as fractions as well if the frequency is not a whole number.<\/p>\n<p>\u00a0<\/p>\n<p><strong>Let us understand the steps with the help of an example<\/strong>.<\/p>\n<p>\u00a0<\/p>\n<p>\u00a0<\/p>\n<p><strong>Step 1:<\/strong> The following table shows the different ice cream making companies selling their ice-creams in the month of May.<\/p>\n<p><div class=\"kapdec-figure-wrapper\" style=\"display: inline-block; max-width: 100%; vertical-align: top;\"><img decoding=\"async\" alt=\"\" src=\"file:\/\/\/C:\/Users\/vinit\/AppData\/Local\/Temp\/msohtmlclip1\/01\/clip_image002.png\"><\/p>\n<p class=\"kapdec-figure-source\" style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 8pt; color: #666666; text-align: right; margin: 4px 0 12px 0;\">Source: Kapdec.com<\/p>\n<\/div>\n<p>\u00a0<\/p>\n<p><strong>Step 2 &amp; 3: <\/strong>Now let us use the symbol \u00a0\u00a0= 1000 ice cream sold.<\/p>\n<p><strong>Step 4:<\/strong> and then draw a pictograph for the above data, using the symbol as above.<\/p>\n<p><div class=\"kapdec-figure-wrapper\" style=\"display: inline-block; max-width: 100%; vertical-align: top;\"><img decoding=\"async\" alt=\"\" src=\"file:\/\/\/C:\/Users\/vinit\/AppData\/Local\/Temp\/msohtmlclip1\/01\/clip_image004.png\"><\/p>\n<p class=\"kapdec-figure-source\" style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 8pt; color: #666666; text-align: right; margin: 4px 0 12px 0;\">Source: Kapdec.com<\/p>\n<\/div>\n<p>\u00a0<\/p>\n<p>The above graph makes it is to understand the distribution of ice-creams of different ice-cream making companies. Ben and Jerry&#8217;s sells the highest number of ice-cream products and Dairy queen the lowest with 2000 ice-creams. We can find the answers to the questions by just looking at the pictograph.<\/p>\n<p>\u00a0<\/p>\n<p><div class=\"kapdec-figure-wrapper\" style=\"display: inline-block; max-width: 100%; vertical-align: top;\"><img decoding=\"async\" alt=\"\" src=\"file:\/\/\/C:\/Users\/vinit\/AppData\/Local\/Temp\/msohtmlclip1\/01\/clip_image005.png\"><\/p>\n<p class=\"kapdec-figure-source\" style=\"font-family: Arial, Helvetica, Calibri, sans-serif; font-size: 8pt; color: #666666; text-align: right; margin: 4px 0 12px 0;\">Source: Kapdec.com<\/p>\n<\/div>\n<p>The above graph makes it is to understand the distribution of ice-creams of different ice-cream making companies. Ben and Jerry\u2019s sells the highest number of ice-cream products and Dairy queen the lowest with 2000 ice-creams. 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src=\"data:image\/svg+xml;base64,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\" 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[&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_bkbg_ai_custom_css":"","footnotes":""},"categories":[591],"tags":[],"class_list":["post-10920","post","type-post","status-publish","format-standard","hentry","category-grade-6"],"_links":{"self":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/10920","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/comments?post=10920"}],"version-history":[{"count":0,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/posts\/10920\/revisions"}],"wp:attachment":[{"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/media?parent=10920"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/categories?post=10920"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kapdec.com\/help\/wp-json\/wp\/v2\/tags?post=10920"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}