{"id":5907,"date":"2021-12-16T02:28:11","date_gmt":"2021-12-16T02:28:11","guid":{"rendered":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/?page_id=5907"},"modified":"2022-01-03T08:16:43","modified_gmt":"2022-01-03T08:16:43","slug":"difference-between-percentage-and-percentile-with-examples","status":"publish","type":"page","link":"https:\/\/stgwebsite.mindspark.in\/studymaterial\/math-concepts\/difference-between-percentage-and-percentile-with-examples\/","title":{"rendered":"Difference between Percentage and Percentile with Examples"},"content":{"rendered":"

[et_pb_section fb_built=”1″ admin_label=”Section” module_class=”mainsec” _builder_version=”4.10.4″ _module_preset=”default” background_color=”#e0f2fd” z_index=”1″ custom_padding=”5px||5px||true|false” locked=”off” collapsed=”off” global_colors_info=”{}”][et_pb_row column_structure=”3_5,2_5″ custom_padding_last_edited=”on|phone” _builder_version=”4.10.8″ _module_preset=”default” background_color=”#FFFFFF” width=”100%” max_width=”1310px” custom_padding=”|51px|40px|51px|false|true” custom_padding_tablet=”” custom_padding_phone=”|40px|30px|40px|false|true” border_radii=”on|10px|10px|10px|10px” global_colors_info=”{}”][et_pb_column type=”3_5″ admin_label=”Column L” _builder_version=”4.9.10″ _module_preset=”default” global_colors_info=”{}”][et_pb_text admin_label=”Acute Angles
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Difference between Percentage and Percentile with Examples<\/h1>\n

[\/et_pb_text][et_pb_text admin_label=”Text” _builder_version=”4.13.1″ _module_preset=”default” text_font_size=”16px” header_2_font=”|600|||||||” header_2_text_color=”#a01414″ header_3_font=”|600|||||||” custom_padding=”15px|15px|54px|4px|false|false” global_colors_info=”{}”]<\/p>\n

Difference between Percentage and Percentile<\/b><\/b><\/h2>\n

The two terms percentage and percentile are often confused to be synonyms, but they have totally different meanings in terms of mathematics. Let us define the two and see the difference with the help of examples.
<\/b><\/p>\n

 <\/p>\n

Percentage<\/b><\/h3>\n

Percentage word has a Latin origin as it comes from\u00a0 \u2018per centum\u2019 which means \u2018per hundred\u2019. This makes it easy to understand what percentage actually is. It is a quantity that describes the measure of something out of hundred, i.e., it is a ratio of an object with respect to numbers out of hundred.<\/span><\/p>\n

For example, The marks obtained in a test out of hundred.\u00a0<\/span><\/p>\n

<\/span><\/p>\n

Percentile<\/b><\/span><\/p>\n

Percentile gives an idea of the ranking or position of something. After the percentage is calculated for various values for a group they are arranged in ascending order and the rank of one value over the others is determined.<\/span><\/p>\n

For example, The rank of a student with respect to the marks obtained by him and other students.<\/span><\/p>\n

<\/span><\/p>\n

Difference Table of Percentage and Percentile<\/b><\/h2>\n

 <\/p>\n

<\/b><\/p>\n

\"\"<\/b><\/p>\n

<\/b><\/p>\n

<\/b><\/p>\n

Examples<\/b><\/h2>\n

Example 1<\/strong>:<\/strong> If Daniel scored 70 marks in Science, 67 marks in Mathematics, 78 in English, 75 in Social Studies and 65 in Hindi (all out of 100). Then what is his percentage for the first term for all subjects in total?\u00a0<\/span><\/p>\n

Solution:<\/strong><\/p>\n

The marks that Daniel has got in the first term are:<\/span><\/p>\n

Science 70\/100, Mathematics 67\/100, English 78\/100, Social Studies 75\/100 and Hindi 65\/100.<\/span><\/p>\n

Actual marks that Daniel scored <\/span>= 70 + 67 + 78 + 75 + 65 = 355<\/span><\/p>\n

Total Marks for 5 subjects is 500.<\/span><\/p>\n

We know,<\/span><\/p>\n

<\/span><\/p>\n

\\text { Percentage }=\\frac{\\text { Actual Value }}{\\text { Total Value }} \\times 100 \\%<\/span><\/span><\/p>\n

<\/span><\/p>\n

Hence, Daniel\u2019s first term Percentage =\\frac{355}{500} \\times 100 \\%=0.71 \\times 100 \\%=71 \\%<\/span><\/span><\/p>\n

Therefore, Daniel scored 71% in his first term examination.<\/span><\/p>\n

<\/span><\/p>\n

Example 2<\/strong>:<\/strong> In a class of 10 students, the height is measured. The heights are 156, 145, 157, 148, 142, 140, 152, 139, 163, 159 (in cm). Using the percentile formula, find the percentile for the height 145 cm.\u00a0<\/span><\/p>\n

Solution:<\/strong><\/p>\n

Arranging the given data in ascending order \u2013 139, 140, 142, 145, 148, 152, 156, 157, 159, 163.<\/span><\/p>\n

The number of heights below 145 cm is 3.<\/span><\/p>\n

We know,<\/span><\/p>\n

\\text { Percentile }=\\frac{\\text { Number of values below }^{\\prime} n^{\\prime}}{\\text { Total number of Values }} \\times 100<\/span><\/span><\/p>\n

<\/span><\/p>\n

Percentile of height 145 cm =\\frac{3}{10} \\times 100=3 \\times 10=30<\/span><\/span><\/p>\n

<\/span><\/p>\n

Therefore, the percentile of height 145 cm is 30.<\/span><\/p>\n

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Explore Other Topics<\/h1>\n

[\/et_pb_text][et_pb_text _builder_version=”4.10.7″ _module_preset=”default” text_line_height=”2.2em” link_font_size=”16px” custom_margin=”||0px||false|false” custom_padding=”10px|15px|10px|28px|true|false” locked=”off” global_colors_info=”{}”]<\/p>\n

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Geometry<\/a><\/div>\n
Trigonometry<\/a><\/div>\n
Operations<\/a><\/div>\n
Numbers<\/a><\/div>\n<\/div>\n

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Related Concepts<\/h1>\n

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\n
Ration and Proportion Tricks<\/a><\/div>\n
Profit and Loss Questions and Solutions<\/a><\/div>\n
Unitary Method<\/a><\/a><\/div>\n<\/div>\n

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Frequently Asked Questions\u00a0<\/span><\/span><\/h1>\n
    <\/ol>\n

    Q1.\u00a0<\/strong>What is the percentage?<\/b><\/h3>\n

    Ans:\u00a0<\/strong><\/span>The percentage is a quantity that describes the measure of something out of hundred, i.e., it is a ratio of an object out of hundred.<\/p>\n

    For example, If Sarah scores 78 marks out of a hundred in Science, then her percentage of Science marks is 78%.<\/p>\n

    Q2.\u00a0<\/strong>What do you understand by the term percentile? Are the percentage and percentile the same?<\/b><\/h3>\n

    Ans:\u00a0<\/strong>\u00a0Percentile gives an idea of the ranking or position of something. After the percentage is calculated for various values for a group they are arranged in ascending order and the rank of one value over the others is determined.<\/p>\n

    No percentile and percentage are two different quantities, while percentage determines the ratio out of hundred, percentile gives the position with respect to the percentages below the given percentage value.<\/p>\n

    Q3.\u00a0<\/span>Write the formula for calculating percentage?<\/b><\/h3>\n

    Ans: <\/strong>The formula to calculate percentage:<\/p>\n

    Percentage =\\frac{\\text { Actual Value }}{\\text { Total Value }} \\times 100 \\%<\/span><\/span><\/span><\/p>\n

    Q4.\u00a0<\/span>Mention the formula to calculate percentile?<\/b><\/h3>\n

    Ans: <\/strong>The formula to calculate percentile:<\/p>\n

    Percentile =\\frac{\\text{ Number of values below 'n'}}{\\text{Total number of Values}}\\times 100<\/span><\/p>\n

    Where ‘n’ is the value for which percentile is to be calculated.<\/p>\n

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