Question

From the following frequency distribution find the median class : Cost of living index Number of weeks 1400 - 1550 8 1550 - 1700 15 1700 - 1850 21 1850 - 2000 25 2000 - 2150 10 2150 - 2300 5​

Answer 1

Answer:

class Fi CF

1400-1500. 8. 8

1550-1700 15 23

1700-1850. 21 44

1850-2000. 25 69

2000-2150 10 79

2150-2300 5. 84

TOTAL FI = 84

N = 84

N/2 = 42 ( bigger than 42 in Cf is 44)

MEDIAN CLASS = 1700-1850

L+ (N/2 - CF ÷ F )× h

1700 + (42-23/21) × 150

1700 + (19/21) × 150

1700 + 0.90 × 150

1700 + 135.7

1835.7 = Median

hope u understand

Answer 2

Cost of living Number of weeks Cumulative Frequency
1400−1550 8 8
1550−1700 15 23
1700−1850 21 44
1850−2000 8 52
Step 2: Finding the median class
From the above table, we observe that the total number of observations is 52.
Dividing by 2 we get 26.
The cumulative frequency greater than or equal to 26 is 44.
∴ median class is 1700−1850
Hence ,The median class is found to be 1700−1850