Mean, Median & Mode
Quartiles
Central Tendency
Probability
Stem and Leaf
100

Ayaan attempts 6 tests which are scored out of 15. His marks are the following -

8, 15, 2, 9, 4, 2

Find the mean, median, mode and range

mean = 7

median = 6

mode = 4

range = 13

100

1,2,3,3,4,5,5,5,6,6,7}

What is the 3rd quartile of this set?


6

100

Arya has always had a true passion for graphic design and he has recently started a small business creating wallpapers for his customers. The following data represents the number of customers for the past 5 days-

3, 5, 5, 6, 9

calculate the median, mode and range

median - 5

mode - 5

range - 6

100

There are 7 balls on a pool table. Three of the balls are red, one is blue, one pink, one yellow and one white. If one ball is chosen at random, what is the probability it is yellow?

1/7 or 0.07


100

A statistician for a chain of department stores created the following stem-and-leaf plot showing the number of pairs of glasses at each of the stores:

0 | 9 

1 | 3 6 6 8

2 | 1 2 3 5 6 9

3 | 0

4 | 1 2 3 3 5 7 

How many department stores have fewer than 38 pairs of glasses?

12 Stores

200

There are 12 cats with a mean weight of 20kg. Find the total weight of all the cats

240kg

200

These are Sonam’s test scores. All the test were 20 marks.

5, 9, 15, 11, 13, 17, 7

Find the interquartile range for Sonam’s test scores

8

200

Han loves drinking coffee. The following data set represents the number of coffee's drank in the past 7 days

20, 47, 38, 18, 17, 23, 31

find the mean, median and range

mean - 24

median - 18

range - 42

200

The probability of a football team winning a game is three fifths. If they play 25 games in a season, how many games would you expect them to win?

3/5 of 25 is 15 so they will win 15 games

200

The government published the following stem-and-leaf plot showing the number of sloths at each major zoo in the country:

0 | 3

1 | 6 7 7

2 | 0 4 

3 | 0 1 1 2 4 7 9 9

4 | 1 2 3 5 7

How many zoos have more than 18 sloths?

15 zoos

300

Shovang scored a mean mark of 82% in 4 exams. When he includes his French exam his mean mark is 70%. Find his marks in the French exam

22%

300

 Sonam took 7 tests, all the tests were for 60 marks.

18 22 34 52 12 59 13

Find the Upper quartile and lower quartile of Sonam's test scores.

Upper quartile = 15

Lower quartile = 7

300

Arulya owns five pet giraffes, their mean age is 16 years. Find their total age.

Additionally, Arulya owns 12 snakes, the following are their length in m -

2, 1, 4, 3, 9, 5, 6, 1, 4, 1, 5, 2

find the mode, mean and range

total age - 80 years

mode - 1

mean - 3.5

range - 8

300

There's a 30% chance of it raining each day in Ogygia. On how many days would you expect it to rain during your visit there that lasts 80 days?

30% of 80 = 24

300

A zookeeper created the following stem-and-leaf plot showing the number of tigers at each major zoo in the country:

0 | 7

1 | 1 4 8

2 | 5 5 5 6 7 7 9

3 | 

4 | 

How many zoos have more than 13 tigers?

9 zoos

400

Dohee recently launched a new YouTube channel. In the past six days, she has
recorded the following number of daily viewers: 37, 29, 37, 56, 45, 38. She is
hoping at week’s end to have an average number of 40 viewers per day. To
achieve this, how many viewers must she have on the final day of the week?

38 viewers 

400

In the data set below, find the upper quartile, lower quartile, and the median.


38  44  51 72  74  87  95


Median = 72

Upper quartile = 87

Lower quartile = 44

400

Kaavya owns 9 cats, the following data set represents their weight in kg

5, 6, 7, 3, 9, 8

find the mean, median, and range

Aside from that Kaavya loves to draw, the following data set represents the number of times she draws in a day-

2, 3, 4, 5, 2, 3

find the mode, mean, and range

mean - 4.2

median - 6.5

range - 6

drawing:

mode - 2 and 3

mean - 3

range - 3

400

Two dice are thrown. What is the probability of getting a total of 7

7/12

400

A statistician for a chain of department stores created the following stem-and-leaf plot showing the number of pairs of glasses at each of the stores:

0 | 9

1 | 3 6 6 8

2 | 1 2 3 5 6 9

3 | 0

4 | 1 2 3 3 5 7

How many department stores have fewer than 38 pairs of glasses?

12 pairs

500

Below are the number of hours spent each day by Manasi watching anime

4, 6, x, 9, y, z

median is 8

mode is 9

mean is 8

find x, y, and z

x = 7

y = 9

z = 11


500

 Find the (i) lower quartile, (ii) upper quartile, and (iii) interquartile range for the following data.

2, 1, 0, 3, 1, 2, 3, 4, 3, 5

Lower quartile = 1

Upper quartile = 3

Interquartile range = 2

500

Sahir loves playing video games. The following data set represents the number of hours spent playing video games in the past week -

6, 7, 5, 8, 9, 6, 5

calculate the mean, median, mode and range

Sahir also has a younger brother named Kuttu who loves to dance. The following data set represents the number of times Kuttu dances in a day -

2, 4, 5, 3, 8, 2

find the mode, median and range

videogames:

mean - 6

median - 7

range - 8

Kuttu:

mode - 2

median - 4

range - 6

500

There are 4 cards laid out with B,R,I,D respectively written on them. You shuffle them and lay them out. What is the probability they will spell the word, "BIRD"

25%

500

Jasmine has been doing sit-ups to get in shape. She created a stem and leaf chart that displays the number of sit-ups she has already done (51, 51, 54 60, 62, 65, 80, 81, 88). Jasmine teacher Mr. Gabriel said that she had made one mistake in her stem and leaf plot. What mistake did Jasmine make?

5 | 1, 1, 4

6 | 0, 2, 5

8 | 0, 1, 8 

  1. She used commas in her stem and leaf plot.

  2. She listed 51 twice.

  3. She doesn't need to put the zeros in her stem and leaf plot.

  4. She forgot the 7 in her stem.

She used commas in her stem and leaf plot.

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