There are 5 cards in order from smallest to largest, _ _ _ _ 8. The range is 6, the median is 6, the mode is 2, and the mean is 5. Find the numbers missing on the 4 blank cards.

The range is 6: The range is the difference between the smallest and largest value. So if the largest value is 8, then the smallest value is 8-6=2.The median is 6:Therefore the middle card must be 6.The mode is 2:The most common number is 2, therefore we need to have more than one card with the number 2, and as they are in order from smallest to largest, this must be the value on the second card.The mean is 5:When the values on all 5 cards are added up and divided by 5 (as there are 5 cards), they must equal 5. So working backwards, tells us that 5 x 5 = 25, therefore the cards must add up to 25.2+2+6+8=18 so this gives the missing value of 7.

Answered by Emily T. Maths tutor

10208 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What's the difference between the mean, median and mode?


Solve the simultaneous equations..... 3x - y + 3 = 11 & 2x^2 + y^2 + 3 = 102 where X and Y are both positive integers.


How do you factorise a quadratic equation into the form (x+A)(x+B), for example x²+x-6 =0?


The equation the line L1 is y=3x-2 and the equation of line L2 is 3y-9x+5=0. Show that these two lines are parallel.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo
Cookie Preferences