## RS Aggarwal Class 7 Solutions Chapter 21 Collection and Organisation of Data (Mean, Median and Mode) Ex 21C

These Solutions are part of RS Aggarwal Solutions Class 7. Here we have given RS Aggarwal Solutions Class 7 Chapter 21 Collection and Organisation of Data Ex 21C.

**Other Exercises**

- RS Aggarwal Solutions Class 7 Chapter 21 Collection and Organisation of Data Ex 21A
- RS Aggarwal Solutions Class 7 Chapter 21 Collection and Organisation of Data Ex 21B
- RS Aggarwal Solutions Class 7 Chapter 21 Collection and Organisation of Data Ex 21C

**Question 1.**

**Solution:**

(i) Arranging in ascending order :

4, 6, 7, 8, 8, 8, 8, 10, 11, 15

We see that 8 occurs maximum times

Mode = 8

(ii) Arranging in ascending order :

18, 21, 23, 27, 27, 27, 27, 27, 36, 39, 40

We see that 27 occurs maximum times

Mode = 27

**Question 2.**

**Solution:**

Arranging in ascending order :

28, 31, 32, 32, 32, 32, 34, 36, 38, 40, 41.

We see that 32 occurs maximum times

Mode = 32 years

**Question 3.**

**Solution:**

We prepare the table as given below:

Here, number of terms = 45, which is odd

Median = \(\frac { n + 1 }{ 2 }\) th term = \(\frac { 45 + 1 }{ 2 }\) = \(\frac { 46 }{ 2 }\) th term

= 23th term = 450

Now, mode = 3(median) – 2(mean)

= 3 x 450 – 2 x 470

= 1350 – 940

= 410

**Question 4.**

**Solution:**

We prepare the table as given below:

Here, number of terms (N) = 41, which is odd

Median = \(\frac { n + 1 }{ 2 }\) th term = \(\frac { 41 + 1 }{ 2 }\) th term

= \(\frac { 42 }{ 2 }\) = 21 th term = 22 {value of 18 to 29 = 22}

Mode = 3 (median) – 2 (mean)

= 3 x 22 – 2 x 21.92 = 66 – 43.84 = 22.16

**Question 5.**

**Solution:**

We prepare the table as given below:

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