grade and weighs 106 pounds. His quadruplet sisters are tiny babies and weigh 5, 5, 6, and 8 pounds. Which is greater, the average (mean) weight of these five children or the median weight, and by how many pounds? [/et_pb_text][/et_pb_column][/et_pb_row][et_pb_row _builder_version="4.0"][et_pb_column type="4_4" _builder_version="3.25" custom_padding="|||" custom_padding__hover="|||"][et_pb_accordion open_toggle_text_color="#0c71c3" _builder_version="4.1" toggle_font="||||||||" body_font="Raleway||||||||" text_orientation="center" custom_margin="10px||10px"][et_pb_accordion_item title="Source of the problem" _builder_version="4.1" open="on"]American Mathematical Contest 2013, AMC 8 Problem 5[/et_pb_accordion_item][et_pb_accordion_item title="Key Competency" _builder_version="4.1" inline_fonts="Abhaya Libre" open="off"]Let us first find the median of the weight of the five children. For this, we first have to arrange the weights of the five children in increasing order. As we know, the median is the middle value, if there is an odd number of observations, and if there is an even number of observations, it is the average of the two middle values. Thus, lining up the numbers (5, 5, 6, 8, 106), we see that it is 6 pounds.
[/et_pb_tab][et_pb_tab title="HINT 2" _builder_version="4.1"]Now what we have to find is the mean of the weights of five children .The average weight of the five kids is
.[/et_pb_tab][et_pb_tab title="HINT 3" _builder_version="4.1"]The median here is obviously less than the mean.[/et_pb_tab][et_pb_tab title="HINT 4" _builder_version="4.1"]Therefore, the average weight is bigger than median weight , by 
pounds, making the answer , average by 20.[/et_pb_tab][/et_pb_tabs][/et_pb_column][/et_pb_row][/et_pb_section][et_pb_section fb_built="1" fullwidth="on" _builder_version="4.2.2" global_module="50833"][et_pb_fullwidth_header title="AMC - AIME Program" button_one_text="Learn More" button_one_url="https://cheenta.com/amc-aime-usamo-math-olympiad-program/" header_image_url="https://cheenta.com/wp-content/uploads/2018/03/matholympiad.png" _builder_version="4.2.2" background_color="#00457a" custom_button_one="on" button_one_text_color="#44580e" button_one_bg_color="#ffffff" button_one_border_color="#ffffff" button_one_border_radius="5px"]AMC - AIME - USAMO Boot Camp for brilliant students. Use our exclusive one-on-one plus group class system to prepare for Math Olympiad
[/et_pb_fullwidth_header][/et_pb_section][et_pb_section fb_built="1" fullwidth="on" _builder_version="4.2.2" global_module="50840" saved_tabs="all"][et_pb_fullwidth_post_slider _builder_version="4.2.2" include_categories="879,878,869" show_arrows="off" show_pagination="off" show_meta="off" image_placement="left" custom_margin="20px||20px||false|false" custom_padding="20px||20px||false|false" custom_button="on" button_bg_color="#ffffff" button_bg_enable_color="on" button_text_color="#0c71c3" hover_enabled="0"][/et_pb_fullwidth_post_slider][/et_pb_section]
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's M.Stat Entrance. They ranked within the first 50 in the entire country in these entrances. I.S.I. M.Stat Entrance
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 200 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 days every week. CMI B.Sc. Math Entrance […]
In 2025, 8 students from Cheenta Academy cracked the prestigious Regional Math Olympiad. In this post, we will share some of their success stories and learning strategies. The Regional Mathematics Olympiad (RMO) and the Indian National Mathematics Olympiad (INMO) are two most important mathematics contests in India.These two contests are for the students who are […]
Cheenta Academy proudly celebrates the success of 27 current and former students who qualified for the Indian Olympiad Qualifier in Mathematics (IOQM) 2025, advancing to the next stage — RMO. This accomplishment highlights their perseverance and Cheenta’s ongoing mission to nurture mathematical excellence and research-oriented learning.
