answer is ( 2) . 9
need explanation
Answers
Answer:
Answer is 9
Step-by-step explanation:
X. c.f. frequency
2. 21. 21
3. 44. 23
5. 68. 24
7. 74. 6
9. 105. 31
10. 123. 18
Highest frequency = 31 when X=9
Answer- The above question is from the chapter 'Statistics'.
Statistics- It is a branch of Mathematics dealing with the collection and analysis of data which can be single as well as grouped.
Mean, median and mode are called 'Measures of Central Tendency'.
Mean: Average of a given data is called mean.
Median: The middle most value of a given data is called median.
Mode: The most frequently occurring value in a given data is called mode.
Single data is called ungrouped data.
Finding mean-
Mean = Sum of observations ÷ Number of observations
Finding median-
Median = Middle most value after arranging in ascending or descending order
Median = (n + 1)th term/2 where n= number of observations (n = odd)
Median = (1/2) × (n/2)th term + (n/2 + 1) th term where n = number of observations (n = even)
Finding mode-
Mode = Most frequently occurring value
Given question: The mode of the following data is ___ .
(Table is already attached in the question.)
(1) 10
(2) 9
(3) 5
(4) 3
Solution: We have been given cumulative frequency.
Rearranging the table, we get,
X Frequency
2 21(21)
3 23(44 - 21)
5 24(68 - 44)
7 6(74 - 68)
9 31(105 - 74)
10 18(123 - 105)
We know that,
Mode = Most frequently occurring value
Most frequently occurring value is 31.
So, mode = 9.