# Grade 8 Measure of Central Tendency Worksheet (For CBSE, ICSE, IAS, NET, NRA 2022)

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## 12, 16, 10, 11, 10, 13, 12, 14,11, 12

(a) What is the median?

(b) What is mode?

## 2 , 2 , 1 , 1 , 1 , 0 , 1 , 3 , 2 , 3 , 1 , 3 , 2,1 , 1

(a) What is the median number of bike per family?

(b) What is the Average number of bike per family?

## 2 , 2 , 1 , 1 , 1 , 0 , 1 , 3 , 2 , 3 , 1 , 3 , 2,1 , 1

(a) What is the mode for the Number of bike?

(b) If every family buys a new 2 bike, what will the new average be?

## 26, 28, 24, 26, 25,24, 24

(a) Approximate what is the Average age of the female I the company?

(b) How many female are below Average age?

(c) Suppose three more female employees aged join the company what will be the new average.

## (5) a Pizza Delivery Shop of a City Having a Record of an Order of Garlic Bread Order on Each Day in the Month of September

 3 4 1 4 2 1 3 0 1 2 2 2 3 1 6 1 3 8 4 2 0 3 0 1 5 3 2 1 4 3

(a) Arrange the data in the frequency distribution table as given below to know the average number of order of garlic bread each day.

 Number of Order ( ) Tally Marks Frequency () Total = Total =

(b) Find the average order of garlic bread on each day.

(c) What is the highest number of order that happened in a day?

(d) On How many days was the record order lowest?

(e) On How many days was the record order highest?

## (9) a Random Number from 10 to 20 is Chosen

(a) Write all possible out comes

(b) Write down the number of favourable outcome for each event and calculate the events probability.

 Number of Number of favourable out comes P (event) (i) An odd number is chosen (ii) A multiple of 2 is chosen (iii) Numbers less than11 is chosen (iv) Multiple of 6 is chosen (v) Number greater than 18 is chosen

Which event has the highest probability of occurring?

(c) Write down a possible event (when a number from 10 to 20 is picked) keeping its probability in mind.

 Event P (Event) (i) (ii) (iii)

• Median: After writing the given number series/data in descending order, the number in the middle of the given number series/data is a Median.
• To find out median first write down the given data into descending order.

• So, it՚s clear from the given number series that 12,12 is in the middle of the given series.
• So, Median of given data

• Mode: That means Number appear more than any other number.
• In the given number data “12” appear more than any other number.
• So, Mode of given data is

• To find out the Median number of given data first write down the given data in descending order.

• So, Median number of bike per family

• Average number of bike per family

• Therefore,

• Mode: That means Number appear more than any other number.
• In the given data “1” appears more than any other number.
• So, Mode of given data is

• If Every Family buy 2 new bike than number of bike owned by each family is as below:

• So, New Average

• So, New Average of Number of bike owned by per family is

• Average age of female in the company

• Average age of female employee is 25.24
• So, from given data, female having age less than average age are,

• So, Total number of female below average age

• New Average

• New Average of age of Female employee

• So, new average of female employee including three new female employee is

• Frequency Distribution table shown as below.
 Number of Order ( ) Tally Marks Frequency () 0 3 0 1 7 7 2 6 12 3 7 21 4 4 16 5 1 5 6 1 6 8 1 8

• Average order of Garlic bread on each day

• From Given data it՚s clear that highest number of order that happened in a day

• From the Frequency Distribution table, lowest order of garlic bread is ZERO.
• And frequency of zero order is THREE (3) .
• So, 3 days recorded the order quantity lowest.

• From the Frequency Distribution table, highest order of garlic bread is 8.
• And the frequency of 8 pieces order is ONE.
• So, only one day recorded the order quantity highest.

• Mode: that means number appear more than any other number.
• Mean: Means average of the number.
• Here given three number, so first we put three Blank as below.

• Now, mode is 6, so “6” is appear more than any other number.
• So, we can say,

• Mean of the given number is “8” , let guess the third number is

• So, set of three number is,

• Here given three number, so first we put three Blank as below.

• As per Given data mode of these three number is 20 , so “20” is appear more than any other number.
• So can say,

• Mean of the given number is “18” , let guess the third number is

• So, Set of three number is,

(a) The mean of twenty five number is 100. What is the sum of these twenty five number?

(b) Suppose 3 is multiplied to every number in the set. What will the sum of the new twenty five number?

(c) What will be the mean of new twenty five number?

• Mean means average of the given number.

• If 3 is multiplied to every number in the set than,

• Mean of the new twenty five numbers

• All possible outcomes of random umber chosen from 10 to 20 is.