# Which of the following has the same mean, median and mode?

(a) 6, 2, 5, 4, 3, 4, 1

(b) 4, 2, 2, 1, 3, 2, 3

(c) 2, 3, 7, 3, 8, 3, 2

(d) 4, 3, 4, 3, 4, 6, 4

**Solution:**

We have to determine which __data__ has the same mean, median and mode.

We know, mean = sum of all observation/number of observation

When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.

__Mode__ is the observation that occurs most frequently in the data.

(a) Considering 6, 2, 5, 4, 3, 4, 1

Arranging the data in __ascending order__, we get

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

Mean = (6 + 2 + 5 + 4 + 3 + 4 + 1)/7 = 25/7 = 3.57

Median = 4

Mode = 4

(b) Considering 4, 2, 2, 1, 3, 2, 3

Arranging the data in ascending order, we get

1, 2, 2, 2, 3, 3, 4

Mean = (4 + 2 + 2 + 1 + 3 + 2 + 3)/7 = 17/7 = 2.42

Median = 2

Mode = 2

(c) Considering 2, 3, 7, 3, 8, 3, 2

Arranging the data in ascending order, we get

2, 2, 3, 3, 3, 7, 8

Mean = (2 + 2 + 3 + 3 + 3 + 7 + 8)/7 = 28/7 = 4

Median = 3

Mode = 3

(d) Considering 4, 3, 4, 3, 4, 6, 4

Arranging the data in ascending order, we get

3, 3, 4, 4, 4, 4, 6

Mean = (3 + 3 + 4 + 4 + 4 + 4 + 6)/7 = 28/7 = 4

Median = 4

Mode = 4

Therefore, the mean, median and mode is same in the data 4, 3, 4, 3, 4, 6, 4

**✦ Try This: **Find the mean of the data 2, 3, 7, 3, 8, 3, 4

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 3

**NCERT Exemplar Class 7 Maths Chapter 3 Problem 16**

## Which of the following has the same mean, median and mode? (a) 6, 2, 5, 4, 3, 4, 1 (b) 4, 2, 2, 1, 3, 2, 3 (c) 2, 3, 7, 3, 8, 3, 2 (d) 4, 3, 4, 3, 4, 6, 4

**Summary:**

4, 3, 4, 3, 4, 6, 4 has the same mean, median and mode.

**☛ Related Questions:**

- The difference between the highest and the lowest observations of a data is called _________. Fill i . . . .
- The mean of a data is defined as _________. Fill in the blanks to make the statement true
- In a set of observations, the observation that occurs the most often is called _________. Fill in th . . . .

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